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## Beals, Richard W.

Compute Distance To:
 Author ID: beals.richard-w Published as: Beals, R.; Beals, R. W.; Beals, Richard; Beals, Richard W. External Links: MGP · Wikidata · GND
 Documents Indexed: 144 Publications since 1964, including 10 Books
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#### Co-Authors

 49 single-authored 24 Greiner, Peter C. 16 Sattinger, David H. 15 Gaveau, Bernard 12 Coifman, Ronald Raphaël 12 Szmigielski, Jacek 8 Stanton, Nancy K. 5 Fefferman, Charles Louis 5 Kannai, Yakar 5 Tenenblat, Keti 4 Deift, Percy A. 4 Protopopescu, Vladimir A. 3 Krantz, David H. 3 Tomei, Carlos 3 Wong, Roderick Sue-Chuen 2 Ablowitz, Mark Jay 2 Novikov, Roman G. 2 Vauthier, Jacques 1 Auchmuty, Giles 1 Baouendi, Mohammed Salah 1 Beck, Anatole 1 Bellow, Alexandra 1 Berestycki, Henri 1 Bona, Jerry Lloyd 1 Brezis, Haïim 1 Chanillo, Sagun 1 Cohen, Amy 1 Hajian, Arshag B. 1 Jiang, Yaping 1 Kartashova, Elena A. 1 Khenkin, Gennadiĭ Markovich 1 Konopelchenko, Boris Georgievich 1 Koopmans, Tjalling C. 1 Lebowitz, Joel Louis 1 Mastrian, Barbara 1 Mawhin, Jean L. 1 Nirenberg, Louis 1 Novikova, N. N. 1 Nussbaum, Roger David 1 Rabelo, Mauro Luiz 1 Roberts, Fred S. 1 Rothschild, Linda Preiss 1 Seco, Luis Angel 1 Teman, Roger 1 Tversky, Amos 1 Williams, Eric D. 1 Zhou, Xin
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#### Serials

 6 Journal of Functional Analysis 6 Bulletin of the American Mathematical Society 5 Communications on Pure and Applied Mathematics 5 Journal of Mathematical Physics 5 Studies in Applied Mathematics 4 American Journal of Mathematics 4 Duke Mathematical Journal 4 Communications in Partial Differential Equations 4 Bulletin des Sciences Mathématiques 3 Inverse Problems 3 Advances in Mathematics 3 Journal of Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Theoretical and Mathematical Physics 2 Transport Theory and Statistical Physics 2 Mathematische Annalen 2 Pacific Journal of Mathematics 2 Physica D 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Notices of the American Mathematical Society 2 Cambridge Studies in Advanced Mathematics 2 Contemporary Mathematics 2 Graduate Texts in Mathematics 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Journal of Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Arkiv för Matematik 1 Mathematics Magazine 1 Annales de l’Institut Fourier 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Geometry 1 Journal of Mathematical Psychology 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Journal of Nonlinear Mathematical Physics 1 Journal of the Institute of Mathematics of Jussieu 1 Analysis and Applications (Singapore) 1 Annals of Mathematics Studies 1 Mathematical Surveys and Monographs 1
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#### Fields

 92 Partial differential equations (35-XX) 20 Operator theory (47-XX) 18 Global analysis, analysis on manifolds (58-XX) 15 Ordinary differential equations (34-XX) 15 Dynamical systems and ergodic theory (37-XX) 7 Abstract harmonic analysis (43-XX) 6 Special functions (33-XX) 6 Functional analysis (46-XX) 6 Numerical analysis (65-XX) 5 Topological groups, Lie groups (22-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Integral transforms, operational calculus (44-XX) 4 Differential geometry (53-XX) 4 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Functions of a complex variable (30-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH

120 Publications have been cited 2,385 times in 1,777 Documents Cited by Year
Scattering and inverse scattering for first order systems. Zbl 0514.34021
Beals, R.; Coifman, R. R.
1984
Multi-peakons and a theorem of Stieltjes. Zbl 0923.35154
Beals, R.; Sattinger, D. H.; Szmigielski, J.
1999
Multipeakons and the classical moment problem. Zbl 0968.35008
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2000
Acoustic scattering and the extended Korteweg-de Vries hierarchy. Zbl 0919.35118
Beals, R.; Sattinger, D. H.; Szmigielski, J.
1998
A general calculus of pseudodifferential operators. Zbl 0343.35078
Beals, Richard
1975
Characterization of pseudodifferential operator and application. Zbl 0353.35088
Beals, Richard
1977
Calculus on Heisenberg manifolds. Zbl 0654.58033
Beals, Richard; Greiner, Peter
1988
Direct and inverse scattering on the line. Zbl 0679.34018
Beals, Richard; Deift, Percy; Tomei, Carlos
1988
Hamilton-Jacobi theory and the heat kernel on Heisenberg groups. Zbl 0959.35035
Beals, Richard W.; Gaveau, Bernard; Greiner, Peter C.
2000
Abstract time-dependent transport equations. Zbl 0657.45007
Beals, R.; Protopopescu, V.
1987
Variational solutions of some nonlinear free boundary problems. Zbl 0225.49013
Auchmuty, J. F. G.; Beals, Richard
1971
Linear spectral problems, nonlinear equations and the $${\bar \partial}$$- method. Zbl 0685.35080
Beals, Richard; Coifman, R. R.
1989
Bäcklund transformations and inverse scattering solutions for some pseudospherical surface equations. Zbl 0697.58059
Beals, Richard; Rabelo, Mauro; Tenenblat, Keti
1989
Spatially inhomogeneous pseudodifferential operators. I. Zbl 0279.35071
Beals, Richard; Fefferman, Charles
1974
Inverse scattering solutions of the Hunter-Saxton equation. Zbl 1020.35092
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2001
An abstract treatment of some forward-backward problems of transport and scattering. Zbl 0425.34067
Beals, Richard
1979
The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes. Zbl 0858.43009
Beals, Richard; Gaveau, Bernard; Greiner, Peter
1996
On local solvability of linear partial differential equations. Zbl 0256.35002
Beals, Richard; Fefferman, Charles
1973
Special functions. A graduate text. Zbl 1222.33001
Beals, Richard; Wong, Roderick
2010
Weighted distribution spaces and pseudodifferential operators. Zbl 0474.35089
Beals, Richard
1981
Inverse scattering and evolution equations. Zbl 0578.35040
Beals, R.; Coifman, R. R.
1985
Indefinite Sturm-Liouville problems and half-range completeness. Zbl 0512.34017
Beals, Richard
1985
Scattering on the line - an overview. Zbl 0699.34016
Beals, R.; Deift, P.; Tomei, C.
1988
The heat equation on a CR manifold. Zbl 0553.58029
Beals, Richard; Greiner, Peter C.; Stanton, Nancy K.
1984
On the abstract Cauchy problem. Zbl 0239.34028
Beals, Richard
1972
Maximizing stationary utility in a constant technology. Zbl 0186.24804
Beals, R.; Koopmans, T. C.
1969
Foundations of multidimensional scaling. Zbl 0235.92010
Beals, Richard; Krantz, David H.; Tversky, Amos
1968
Half-range completeness for the Fokker-Planck equation. I. Zbl 0571.35088
Beals, R.; Protopopescu, V.
1983
Semigroups and abstract Gevrey spaces. Zbl 0236.47044
Beals, Richard
1972
The D-bar approach to inverse scattering and nonlinear evolutions. Zbl 0619.35090
Beals, Richard; Coifman, Ronald R.
1986
Multidimensional inverse scatterings and nonlinear partial differential equations. Zbl 0575.35011
Beals, R.; Coifman, R. R.
1985
On the solution of the generalized wave and generalized sine-Gordon equations. Zbl 0626.35082
Ablowitz, Mark J.; Beals, Richard; Tenenblat, Keti
1986
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I. Zbl 0886.35001
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
1997
On an equation of mixed type from electron scattering theory. Zbl 0353.35072
Beals, Richard
1977
Topics in operator theory. Zbl 0218.47002
Beals, R.
1971
$$L^p$$ and Hölder estimates for pseudodifferential operators: sufficient conditions. Zbl 0387.35065
Beals, Richard
1979
Spatially inhomogeneous pseudodifferential operators. II. Zbl 0283.35071
Beals, Richard
1974
On a geometric formula for the fundamental solution of subelliptic Laplacians. Zbl 0864.35005
Beals, Richard; Gaveau, Bernard; Greiner, Peter
1996
Scattering and inverse scattering for first-order systems: II. Zbl 0663.35054
Beals, Richard; Coifman, R. R.
1987
Partial-range completeness and existence of solutions of two-way diffusion equations. Zbl 0473.76080
Beals, Richard
1981
Asymptotic behavior of the Green’s functions and spectral function of an elliptic operator. Zbl 0195.11401
Beals, Richard
1970
Meijer $$G$$-functions: a gentle introduction. Zbl 1322.33001
Beals, Richard; Szmigielski, Jacek
2013
Special functions and orthogonal polynomials. Zbl 1365.33001
Beals, Richard; Wong, Roderick
2016
Green’s functions for some highly degenerate elliptic operators. Zbl 0947.35078
Beals, Richard; Greiner, Peter; Gaveau, Bernard
1999
Non-local boundary value problems for elliptic operators. Zbl 0134.31302
Beals, R.
1965
The spectral problem for the Davey-Stewartson and Ishimori hierarchies. Zbl 0725.35096
Beals, R.; Coifman, R. R.
1990
Classes of compact operators and eigenvalue distributions for elliptic operators. Zbl 0162.46003
Beals, R.
1967
Peakon-antipeakon interaction. Zbl 0977.35106
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2001
On the complete integrability of completely integrable systems. Zbl 0727.58022
Beals, Richard; Sattinger, D. H.
1991
The Laguerre calculus on the Heisenberg group. II. Zbl 0609.43008
Beals, Richard W.; Gaveau, Bernard; Greiner, Peter C.; Vauthier, Jacques
1986
A note on fundamental solutions. Zbl 0923.35137
Beals, Richard
1999
An intrinsic generalization for the wave and sine-Gordon equations. Zbl 0722.53014
Beals, Richard; Tenenblat, Keti
1991
$$L^ p$$ and Lipschitz estimates for the $${\bar\partial}$$-equation and the $${\bar\partial}$$-Neumann problem. Zbl 0598.35077
Beals, Richard; Greiner, Peter C.; Stanton, Nancy K.
1987
The inverse problem for ordinary differential operators on the line. Zbl 0579.34008
Beals, Richard
1985
Scattering, transformations spectrales et équations d’évolution non linéaires. Zbl 0475.35078
Beals, R.; Coifman, R.
1981
Advanced mathematical analysis. Periodic functions and distributions, complex analysis, Laplace transform and applications. Zbl 0294.46029
Beals, Richard
1973
Nonlocal elliptic boundary value problems. Zbl 0125.33301
Beals, R.
1964
Peakons, strings, and the finite Toda lattice. Zbl 1023.37039
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2001
Inverse scattering and the Bäcklund transformation for the generalized wave and generalized sine-Gordon equations. Zbl 0681.35087
Beals, Richard; Tenenblat, Keti
1988
Uniform hypoelliptic Green’s functions. Zbl 0915.35029
Beals, Richard; Gaveau, Bernard; Greiner, Peter
1998
On the asymptotic equivalence of the Fokker-Planck and diffusion equations. Zbl 0526.60071
Beals, R.; Protopopescu, V.
1983
The inverse scattering transform on the line. Zbl 0926.35129
Beals, R.; Deift, P.; Zhou, X.
1993
The Laguerre calculus on the Heisenberg group. Zbl 0576.43005
Beals, R. W.; Greiner, P. C.; Vauthier, J.
1984
Hyperbolic equations and systems with multiple characteristics. Zbl 0245.35054
Beals, Richard
1972
The string density problem and the Camassa-Holm equation. Zbl 1152.35468
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2007
Analysis. An introduction. Zbl 1067.26001
Beals, Richard
2004
On hypoellipticity of second order operators. Zbl 0321.35025
Beals, Richard; Fefferman, Charles
1976
On eigenvalue distributions for elliptic operators without smooth coefficients. Zbl 0161.08902
Beals, R.
1966
Constructively factoring linear partial differential operators in two variables. Zbl 1178.35016
Beals, R.; Kartashova, E. A.
2005
Exact fundamental solutions for a class of degenerate elliptic operators. Zbl 0933.35041
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
1999
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. II. Zbl 0886.35002
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
1997
Integrable systems and isomonodromy deformations. Zbl 0795.35077
Beals, Richard; Sattinger, David H.
1993
Transversally elliptic operators. Zbl 1125.35302
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
2004
The heat equation for the $${\bar\partial}$$-Neumann problem. I. Zbl 0615.58033
Beals, Richard; Stanton, Nancy K.
1987
Pseudodifferential operators associated to hyperplane bundles. Zbl 0574.58027
Beals, Richard; Greiner, Peter C.
1983
Erratum: Partial-range completeness and existence of solutions to two-way diffusion equations. Zbl 0519.76085
Beals, Richard
1983
Opérateurs invariants hypoelliptiques sur un groupe de Lie nilpotent. Zbl 0359.43006
Beals, R.
1977
Metrics and geodesics induced by order relations. Zbl 0153.52003
Beals, Richard; Krantz, David H.
1967
Exact propagators for some degenerate hyperbolic operators. Zbl 1171.35438
Beals, Richard; Kannai, Yakar
2006
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. III. Zbl 0886.35003
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
1997
The heat equation for the $${\bar \partial}$$-Neumann problem. II. Zbl 0715.35056
Beals, Richard; Stanton, Nancy K.
1988
Scattering, transformations spectrales et équations d’évolution non linéaire. II. Zbl 0496.35071
Beals, R.; Coifman, R.
1982
Correction to ”characterization of pseudodifferential operators”. Zbl 0396.35088
Beals, Richard
1979
Global asymptotic estimates for elliptic spectral functions and eigenvalues. Zbl 0159.40301
Beals, R.
1968
Exact solutions and branching of singularities for some hyperbolic equations in two variables. Zbl 1172.35304
Beals, Richard; Kannai, Yakar
2009
Addenda and corrigenda to “On the solution of the generalized wave and generalized sine-Gordon equations”. Zbl 0646.35058
Ablowitz, Mark J.; Beals, Richard; Tenenblat, Keti
1987
Propagation de singularites pour les opérateurs du type $$D^ 2_ t$$- d’Alembert-Opérator(b). Zbl 0454.58018
Beals, R.
1980
On the boundedness of pseudodifferential operators. Zbl 0397.35072
Beals, Richard
1977
Classes of spatially inhomogeneous pseudodifferential operators. Zbl 0255.35078
Beals, R.; Fefferman, C.
1973
On eigenvalue distributions for elliptic operators without smooth coefficients. II. Zbl 0165.16303
Beals, R.
1968
Periodic peakons and Calogero-Françoise flows. Zbl 1064.35162
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2005
Approximate identities from Laguerre functions and singular integrals on the Heisenberg group. Zbl 1031.22002
Beals, Richard; Greiner, Peter
2003
Geometry and PDE on the Heisenberg group: A case study. Zbl 1007.43008
Beals, Richard
2001
On Green’s functions for subelliptic operators. Zbl 0940.35056
Beals, Richard; Gaveau, Bernard; Greiner, Peter
2000
Scattering and inverse scattering for first-order systems. Zbl 0944.34066
Beals, R.; Coifman, R. R.
1998
The inverse boundary problem for the Rayleigh system. Zbl 0857.73025
Beals, Richard; Henkin, G. M.; Novikova, N. N.
1995
The foundations of ordinal factor analysis: Affine and spherical geometries induced by a collection of weak orders. Zbl 0784.92029
Beals, Richard; Krantz, David H.
1993
The heat equation and geometry of CR manifolds. Zbl 0543.58024
Beals, Richard; Greiner, Peter C.; Stanton, Nancy K.
1984
Conference in modern analysis and probability (in honor of Professor Shizuo Kakutani, held on June 8-11, 1982, at Yale University, New Haven, Connecticut). Zbl 0523.00008
Beals, Richard (ed.); Beck, Anatole (ed.); Bellow, Alexandra (ed.); Hajian, Arshag (ed.)
1984
$$L^p$$ and Hölder estimates for pseudodifferential operators: Necessary conditions. Zbl 0418.35085
Beals, Richard
1979
Felix Browder (1927–2016). Zbl 1406.35004
Brezis, Haïim; Nussbaum, Roger D.; Cohen, Amy; Beals, Richard; Mawhin, Jean; Teman, Roger; Nirenberg, Louis; Berestycki, Henri; Mastrian, Barbara; Chanillo, Sagun; Lebowitz, Joel; Roberts, Fred; Bona, Jerry
2018
Special functions and orthogonal polynomials. Zbl 1365.33001
Beals, Richard; Wong, Roderick
2016
Meijer $$G$$-functions: a gentle introduction. Zbl 1322.33001
Beals, Richard; Szmigielski, Jacek
2013
Special functions. A graduate text. Zbl 1222.33001
Beals, Richard; Wong, Roderick
2010
Exact solutions and branching of singularities for some hyperbolic equations in two variables. Zbl 1172.35304
Beals, Richard; Kannai, Yakar
2009
Inverse Laplace transforms of products of Whittaker functions. Zbl 1142.44001
Beals, Richard; Kannai, Yakar
2008
The string density problem and the Camassa-Holm equation. Zbl 1152.35468
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2007
Exact propagators for some degenerate hyperbolic operators. Zbl 1171.35438
Beals, Richard; Kannai, Yakar
2006
Constructively factoring linear partial differential operators in two variables. Zbl 1178.35016
Beals, R.; Kartashova, E. A.
2005
Periodic peakons and Calogero-Françoise flows. Zbl 1064.35162
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2005
Analysis. An introduction. Zbl 1067.26001
Beals, Richard
2004
Transversally elliptic operators. Zbl 1125.35302
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
2004
Approximate identities from Laguerre functions and singular integrals on the Heisenberg group. Zbl 1031.22002
Beals, Richard; Greiner, Peter
2003
Inverse scattering and some finite-dimensional integrable systems. Zbl 1044.35068
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2003
Continued fractions and integrable systems. Zbl 1021.37041
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2003
Calogero-Françoise flows and periodic peakons. Zbl 1067.37071
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2002
Inverse scattering solutions of the Hunter-Saxton equation. Zbl 1020.35092
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2001
Peakon-antipeakon interaction. Zbl 0977.35106
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2001
Peakons, strings, and the finite Toda lattice. Zbl 1023.37039
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2001
Geometry and PDE on the Heisenberg group: A case study. Zbl 1007.43008
Beals, Richard
2001
Multipeakons and the classical moment problem. Zbl 0968.35008
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2000
Hamilton-Jacobi theory and the heat kernel on Heisenberg groups. Zbl 0959.35035
Beals, Richard W.; Gaveau, Bernard; Greiner, Peter C.
2000
On Green’s functions for subelliptic operators. Zbl 0940.35056
Beals, Richard; Gaveau, Bernard; Greiner, Peter
2000
Multi-peakons and a theorem of Stieltjes. Zbl 0923.35154
Beals, R.; Sattinger, D. H.; Szmigielski, J.
1999
Green’s functions for some highly degenerate elliptic operators. Zbl 0947.35078
Beals, Richard; Greiner, Peter; Gaveau, Bernard
1999
A note on fundamental solutions. Zbl 0923.35137
Beals, Richard
1999
Exact fundamental solutions for a class of degenerate elliptic operators. Zbl 0933.35041
Beals, Richard; Gaveau, Bernard; Greiner, Peter; Kannai, Yakar
1999
Acoustic scattering and the extended Korteweg-de Vries hierarchy. Zbl 0919.35118
Beals, R.; Sattinger, D. H.; Szmigielski, J.
1998
Uniform hypoelliptic Green’s functions. Zbl 0915.35029
Beals, Richard; Gaveau, Bernard; Greiner, Peter
1998
Scattering and inverse scattering for first-order systems. Zbl 0944.34066
Beals, R.; Coifman, R. R.
1998
Exact fundamental solutions. Zbl 1213.35021
Beals, Richard
1998
A functional calculus on the Heisenberg group and the boundary layer potential $$\square_+^{-1}$$ for the $$\bar\partial$$-Neumann problem. Zbl 0908.43007
Beals, Richard; Greiner, Peter C.; Jiang, Yaping; Seco, Luis
1998
Subelliptic geometry. Zbl 0895.35006
Beals, Richard; Gaveau, Bernard; Greiner, Peter
1998
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I. Zbl 0886.35001
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
1997
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. II. Zbl 0886.35002
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
1997
Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. III. Zbl 0886.35003
Beals, Richard; Gaveau, Bernard; Greiner, Peter C.
1997
The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes. Zbl 0858.43009
Beals, Richard; Gaveau, Bernard; Greiner, Peter
1996
On a geometric formula for the fundamental solution of subelliptic Laplacians. Zbl 0864.35005
Beals, Richard; Gaveau, Bernard; Greiner, Peter
1996
The inverse boundary problem for the Rayleigh system. Zbl 0857.73025
Beals, Richard; Henkin, G. M.; Novikova, N. N.
1995
The inverse scattering transform on the line. Zbl 0926.35129
Beals, R.; Deift, P.; Zhou, X.
1993
Integrable systems and isomonodromy deformations. Zbl 0795.35077
Beals, Richard; Sattinger, David H.
1993
The foundations of ordinal factor analysis: Affine and spherical geometries induced by a collection of weak orders. Zbl 0784.92029
Beals, Richard; Krantz, David H.
1993
New differential equations in the mKdV hierarchy. Zbl 0754.35133
Beals, Richard; Novikov, Roman G.
1992
Action-angle variables for the Gel’fand-Dikii flows. Zbl 0754.35134
Beals, Richard; Sattinger, D. H.
1992
On the complete integrability of completely integrable systems. Zbl 0727.58022
Beals, Richard; Sattinger, D. H.
1991
An intrinsic generalization for the wave and sine-Gordon equations. Zbl 0722.53014
Beals, Richard; Tenenblat, Keti
1991
Complete integrability of “completely integrable” systems. Zbl 0743.35065
Beals, Richard; Sattinger, David
1991
On nontrival interactions and complete integrability of soliton equations. Zbl 0743.35059
Beals, Richard; Konopelchenko, Boris
1991
The spectral problem for the Davey-Stewartson and Ishimori hierarchies. Zbl 0725.35096
Beals, R.; Coifman, R. R.
1990
Linear spectral problems, nonlinear equations and the $${\bar \partial}$$- method. Zbl 0685.35080
Beals, Richard; Coifman, R. R.
1989
Bäcklund transformations and inverse scattering solutions for some pseudospherical surface equations. Zbl 0697.58059
Beals, Richard; Rabelo, Mauro; Tenenblat, Keti
1989
Calculus on Heisenberg manifolds. Zbl 0654.58033
Beals, Richard; Greiner, Peter
1988
Direct and inverse scattering on the line. Zbl 0679.34018
Beals, Richard; Deift, Percy; Tomei, Carlos
1988
Scattering on the line - an overview. Zbl 0699.34016
Beals, R.; Deift, P.; Tomei, C.
1988
Inverse scattering and the Bäcklund transformation for the generalized wave and generalized sine-Gordon equations. Zbl 0681.35087
Beals, Richard; Tenenblat, Keti
1988
The heat equation for the $${\bar \partial}$$-Neumann problem. II. Zbl 0715.35056
Beals, Richard; Stanton, Nancy K.
1988
Abstract time-dependent transport equations. Zbl 0657.45007
Beals, R.; Protopopescu, V.
1987
Scattering and inverse scattering for first-order systems: II. Zbl 0663.35054
Beals, Richard; Coifman, R. R.
1987
$$L^ p$$ and Lipschitz estimates for the $${\bar\partial}$$-equation and the $${\bar\partial}$$-Neumann problem. Zbl 0598.35077
Beals, Richard; Greiner, Peter C.; Stanton, Nancy K.
1987
The heat equation for the $${\bar\partial}$$-Neumann problem. I. Zbl 0615.58033
Beals, Richard; Stanton, Nancy K.
1987
Addenda and corrigenda to “On the solution of the generalized wave and generalized sine-Gordon equations”. Zbl 0646.35058
Ablowitz, Mark J.; Beals, Richard; Tenenblat, Keti
1987
Inverse scattering for self-adjoint $$n^{\mathrm{th}}$$ order differential operators on the line. Zbl 0657.34027
Beals, R.; Tomei, Carlos; Deift, Percy
1987
The D-bar approach to inverse scattering and nonlinear evolutions. Zbl 0619.35090
Beals, Richard; Coifman, Ronald R.
1986
On the solution of the generalized wave and generalized sine-Gordon equations. Zbl 0626.35082
Ablowitz, Mark J.; Beals, Richard; Tenenblat, Keti
1986
The Laguerre calculus on the Heisenberg group. II. Zbl 0609.43008
Beals, Richard W.; Gaveau, Bernard; Greiner, Peter C.; Vauthier, Jacques
1986
Inverse scattering and evolution equations. Zbl 0578.35040
Beals, R.; Coifman, R. R.
1985
Indefinite Sturm-Liouville problems and half-range completeness. Zbl 0512.34017
Beals, Richard
1985
Multidimensional inverse scatterings and nonlinear partial differential equations. Zbl 0575.35011
Beals, R.; Coifman, R. R.
1985
The inverse problem for ordinary differential operators on the line. Zbl 0579.34008
Beals, Richard
1985
Scattering and inverse scattering for first order systems. Zbl 0514.34021
Beals, R.; Coifman, R. R.
1984
The heat equation on a CR manifold. Zbl 0553.58029
Beals, Richard; Greiner, Peter C.; Stanton, Nancy K.
1984
The Laguerre calculus on the Heisenberg group. Zbl 0576.43005
Beals, R. W.; Greiner, P. C.; Vauthier, J.
1984
The heat equation and geometry of CR manifolds. Zbl 0543.58024
Beals, Richard; Greiner, Peter C.; Stanton, Nancy K.
1984
Conference in modern analysis and probability (in honor of Professor Shizuo Kakutani, held on June 8-11, 1982, at Yale University, New Haven, Connecticut). Zbl 0523.00008
Beals, Richard (ed.); Beck, Anatole (ed.); Bellow, Alexandra (ed.); Hajian, Arshag (ed.)
1984
Half-range completeness and orthogonality for the Fokker-Planck equation with general boundary conditions. II. Zbl 0571.35089
Beals, R.; Protopopescu, V.
1984
Half-range completeness for the Fokker-Planck equation. I. Zbl 0571.35088
Beals, R.; Protopopescu, V.
1983
On the asymptotic equivalence of the Fokker-Planck and diffusion equations. Zbl 0526.60071
Beals, R.; Protopopescu, V.
1983
Pseudodifferential operators associated to hyperplane bundles. Zbl 0574.58027
Beals, Richard; Greiner, Peter C.
1983
Erratum: Partial-range completeness and existence of solutions to two-way diffusion equations. Zbl 0519.76085
Beals, Richard
1983
Scattering, transformations spectrales et équations d’évolution non linéaire. II. Zbl 0496.35071
Beals, R.; Coifman, R.
1982
Weighted distribution spaces and pseudodifferential operators. Zbl 0474.35089
Beals, Richard
1981
Partial-range completeness and existence of solutions of two-way diffusion equations. Zbl 0473.76080
Beals, Richard
1981
Scattering, transformations spectrales et équations d’évolution non linéaires. Zbl 0475.35078
Beals, R.; Coifman, R.
1981
Propagation de singularites pour les opérateurs du type $$D^ 2_ t$$- d’Alembert-Opérator(b). Zbl 0454.58018
Beals, R.
1980
An abstract treatment of some forward-backward problems of transport and scattering. Zbl 0425.34067
Beals, Richard
1979
$$L^p$$ and Hölder estimates for pseudodifferential operators: sufficient conditions. Zbl 0387.35065
Beals, Richard
1979
Correction to ”characterization of pseudodifferential operators”. Zbl 0396.35088
Beals, Richard
1979
$$L^p$$ and Hölder estimates for pseudodifferential operators: Necessary conditions. Zbl 0418.35085
Beals, Richard
1979
Characterization of pseudodifferential operator and application. Zbl 0353.35088
Beals, Richard
1977
On an equation of mixed type from electron scattering theory. Zbl 0353.35072
Beals, Richard
1977
Opérateurs invariants hypoelliptiques sur un groupe de Lie nilpotent. Zbl 0359.43006
Beals, R.
1977
On the boundedness of pseudodifferential operators. Zbl 0397.35072
Beals, Richard
1977
On hypoellipticity of second order operators. Zbl 0321.35025
Beals, Richard; Fefferman, Charles
1976
A general calculus of pseudodifferential operators. Zbl 0343.35078
Beals, Richard
1975
Spatially inhomogeneous pseudodifferential operators. I. Zbl 0279.35071
Beals, Richard; Fefferman, Charles
1974
Spatially inhomogeneous pseudodifferential operators. II. Zbl 0283.35071
Beals, Richard
1974
On local solvability of linear partial differential equations. Zbl 0256.35002
Beals, Richard; Fefferman, Charles
1973
Advanced mathematical analysis. Periodic functions and distributions, complex analysis, Laplace transform and applications. Zbl 0294.46029
Beals, Richard
1973
Classes of spatially inhomogeneous pseudodifferential operators. Zbl 0255.35078
Beals, R.; Fefferman, C.
1973
On the abstract Cauchy problem. Zbl 0239.34028
Beals, Richard
1972
...and 20 more Documents
all top 5

#### Cited by 1,713 Authors

 47 Beals, Richard W. 42 Yin, Zhaoyang 34 Chang, Der-Chen E. 26 Van der Mee, Cornelis Victor Maria 23 Yurko, Vjacheslav Anatoljevich 18 Szmigielski, Jacek 16 Greiner, Peter C. 15 Tenenblat, Keti 14 Liu, Yue 13 Fokas, Athanassios S. 13 Lenells, Jonatan 13 Tie, Jingzhi 12 Buterin, Sergey Alexandrovich 12 Rabinovich, Vladimir Samuilovich 12 Sattinger, David H. 11 Fan, Engui 11 Konopelchenko, Boris Georgievich 11 Qiao, Zhijun 10 Geng, Xianguo 10 Kostenko, Aleksey S. 10 Novikov, Roman G. 10 Ponge, Raphaël S. 10 Tian, Lixin 9 Boutet de Monvel, Anne Marie 9 Calin, Ovidiu L. 9 Chang, Xiangke 9 Helffer, Bernard 9 Himonas, A. Alexandrou 9 Holden, Helge 9 Markina, Irina 9 Sakhnovich, Alexander L. 9 Shepelsky, Dmitry 9 Zweifel, Paul F. 8 Coclite, Giuseppe Maria 8 Delgado, Julio 8 Dubrovsky, V. G. 8 Eckhardt, Jonathan 8 Kim, Dae San 8 Kim, Taekyun 8 Qu, Changzheng 8 Schrohe, Elmar 8 Shen, Chunyu 8 Wang, Wei 8 Wu, Xinglong 8 Zhou, Shouming 7 Arlotti, Luisa 7 Bauer, Wolfram 7 Behrndt, Jussi 7 Boulanouar, Mohamed 7 Deift, Percy A. 7 Faierman, Melvin 7 Furutani, Kenro 7 Gaveau, Bernard 7 Greenberg, William R. 7 Guan, Chunxia 7 Hu, Xingbiao 7 Ignat’ev, Mikhail Yur’evich 7 Mustapha, Sami 7 Nourrigat, Jean Francois 7 Perry, Peter A. 7 Pilipović, Stevan 7 Reyes, Enrique G. 7 Robert, Didier 7 Toft, Joachim 7 van Erp, Erik 7 Zhou, Xin 7 Zhu, Junyi 6 Ablowitz, Mark Jay 6 Cercignani, Carlo 6 Feng, Baofeng 6 Iwasaki, Chisato 6 Kannai, Yakar 6 Karp, Dmitriĭ Borisovich 6 Latrach, Khalid 6 Li, Hongquan 6 Lods, Bertrand 6 Luo, Tao 6 Mi, Yongsheng 6 Mu, Chunlai 6 Novruzov, Emil B. 6 Paronetto, Fabio 6 Raynaud, Xavier 6 Rodino, Luigi 6 Ruzhansky, Michael V. 6 Sobajima, Motohiro 6 Wu, Yilun 5 Banasiak, Jacek 5 Baudoin, Fabrice 5 Biondini, Gino 5 Constantin, Adrian 5 Di Ruvo, Lorenzo 5 Dolgiĭ, Dmitriĭ Viktorovich 5 Epstein, Charles Lawrence 5 Friedman, Avner 5 Gerdzhikov, Vladimir Stefanov 5 Gröchenig, Karlheinz 5 Grubb, Gerd 5 Hounie, Jorge G. 5 Hu, Qiaoyi 5 Its, Alexander Rudolfovich ...and 1,613 more Authors
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#### Cited in 323 Serials

 91 Journal of Mathematical Physics 85 Journal of Differential Equations 75 Journal of Functional Analysis 66 Communications in Partial Differential Equations 59 Journal of Mathematical Analysis and Applications 36 Communications in Mathematical Physics 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Journal of Nonlinear Mathematical Physics 27 Advances in Mathematics 27 Integral Equations and Operator Theory 27 Physica D 27 The Journal of Geometric Analysis 24 Applicable Analysis 23 Archive for Rational Mechanics and Analysis 23 Journal d’Analyse Mathématique 23 Transport Theory and Statistical Physics 23 Transactions of the American Mathematical Society 21 Studies in Applied Mathematics 18 Proceedings of the American Mathematical Society 17 Letters in Mathematical Physics 17 Journal of Geometry and Physics 17 Annales de l’Institut Fourier 16 Physics Letters. A 16 Journal of Mathematical Psychology 16 Mathematische Annalen 13 Journal of Statistical Physics 13 Theoretical and Mathematical Physics 12 Chaos, Solitons and Fractals 12 Duke Mathematical Journal 12 Journal of Computational and Applied Mathematics 12 Mathematische Nachrichten 12 SIAM Journal on Mathematical Analysis 12 Journal of Mathematical Sciences (New York) 11 Arkiv för Matematik 11 Manuscripta Mathematica 10 Mathematical Notes 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Mathematische Zeitschrift 10 Results in Mathematics 10 Siberian Mathematical Journal 10 Journal of Nonlinear Science 10 Nonlinear Analysis. Real World Applications 10 Journal of Pseudo-Differential Operators and Applications 9 Mathematical Methods in the Applied Sciences 9 Monatshefte für Mathematik 9 Publications of the Research Institute for Mathematical Sciences, Kyoto University 9 Revista Matemática Iberoamericana 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 Potential Analysis 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Applied Mathematics and Computation 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Bulletin of the American Mathematical Society. New Series 8 Bulletin des Sciences Mathématiques 8 The Journal of Fourier Analysis and Applications 8 Proceedings of the Japan Academy 7 Communications on Pure and Applied Mathematics 7 Functional Analysis and its Applications 7 Journal of Economic Theory 7 Quarterly of Applied Mathematics 7 Applied Mathematics Letters 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Discrete and Continuous Dynamical Systems 7 Analysis and Applications (Singapore) 7 Journal of Hyperbolic Differential Equations 7 Complex Variables and Elliptic Equations 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Journal of Mathematical Economics 6 Journal of Soviet Mathematics 6 Acta Applicandae Mathematicae 6 Science in China. Series A 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Journal of Inverse and Ill-Posed Problems 6 Mediterranean Journal of Mathematics 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Analysis and Mathematical Physics 5 Israel Journal of Mathematics 5 Nonlinearity 5 Rocky Mountain Journal of Mathematics 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Zeitschrift für Analysis und ihre Anwendungen 5 Annals of Global Analysis and Geometry 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Calculus of Variations and Partial Differential Equations 5 St. Petersburg Mathematical Journal 5 Mathematical Physics, Analysis and Geometry 5 Journal of Dynamical and Control Systems 5 Journal of Evolution Equations 5 Advances in Difference Equations 5 Boundary Value Problems 5 Bulletin of the American Mathematical Society 4 Computers & Mathematics with Applications 4 Ukrainian Mathematical Journal 4 Inventiones Mathematicae 4 Journal of Approximation Theory 4 Memoirs of the American Mathematical Society 4 Proceedings of the Japan Academy. Series A 4 Semigroup Forum 4 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques ...and 223 more Serials
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#### Cited in 62 Fields

 1,141 Partial differential equations (35-XX) 320 Operator theory (47-XX) 246 Dynamical systems and ergodic theory (37-XX) 177 Ordinary differential equations (34-XX) 156 Global analysis, analysis on manifolds (58-XX) 140 Fluid mechanics (76-XX) 118 Differential geometry (53-XX) 114 Statistical mechanics, structure of matter (82-XX) 94 Quantum theory (81-XX) 84 Functional analysis (46-XX) 78 Topological groups, Lie groups (22-XX) 74 Numerical analysis (65-XX) 68 Integral equations (45-XX) 64 Abstract harmonic analysis (43-XX) 62 Several complex variables and analytic spaces (32-XX) 55 Harmonic analysis on Euclidean spaces (42-XX) 53 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 44 Probability theory and stochastic processes (60-XX) 43 Special functions (33-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 34 Optics, electromagnetic theory (78-XX) 33 Functions of a complex variable (30-XX) 32 Astronomy and astrophysics (85-XX) 25 Real functions (26-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 19 Approximations and expansions (41-XX) 19 Systems theory; control (93-XX) 18 Integral transforms, operational calculus (44-XX) 17 Mechanics of particles and systems (70-XX) 15 Biology and other natural sciences (92-XX) 14 Potential theory (31-XX) 14 Mechanics of deformable solids (74-XX) 13 Relativity and gravitational theory (83-XX) 12 Number theory (11-XX) 11 Difference and functional equations (39-XX) 10 Nonassociative rings and algebras (17-XX) 10 $$K$$-theory (19-XX) 10 Statistics (62-XX) 10 Operations research, mathematical programming (90-XX) 7 Algebraic geometry (14-XX) 6 Combinatorics (05-XX) 6 Information and communication theory, circuits (94-XX) 5 Computer science (68-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Field theory and polynomials (12-XX) 4 Geophysics (86-XX) 3 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)

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