## Perry, Peter A.

Compute Distance To:
 Author ID: perry.peter-a Published as: Perry, Peter A.; Perry, Peter; Perry, P.; Perry, P. A. Homepage: http://www.ms.uky.edu/~perry/ External Links: MGP · ResearchGate
 Documents Indexed: 78 Publications since 1980, including 1 Book 5 Contributions as Editor Co-Authors: 53 Co-Authors with 61 Joint Publications 1,736 Co-Co-Authors
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### Co-Authors

 22 single-authored 9 Brooks, Robert Wolfe 7 Sulem, Catherine 6 Liu, Jiaqi 5 Borthwick, David 5 Hislop, Peter D. 5 Petersen, Peter V 4 Brown, Russell Murray 4 Gordon, Carolyn S. 4 Hryniv, Rostyslav O. 4 Mykytyuk, Yaroslav V. 3 Hagedorn, George A. 3 Music, Michael 3 Siltanen, Samuli 3 Simon, Barry 2 Deift, Percy A. 2 Froese, Richard 2 Galvez, Cherie 2 Gesztesy, Fritz 2 Jensen, Arne 2 Judge, Christopher M. 2 Kappeler, Thomas 2 McGowan, Jeffrey 2 Schlag, Wilhelm 2 Schüth, Dorothee 2 Shen, Zhongwei 2 Shubin, Mikhail Aleksandrovich 2 Sigal, Israel Michael 2 Tang, Siuhung 2 Topalov, Peter J. 1 Albeverio, Sergio A. 1 Barnett, Alex H. 1 Caudill, Lester F. jun. 1 Christiansen, Tanya J. 1 Croke, Ryan 1 Cycon, Hans L. 1 Dodziuk, Jozef 1 Ehrenborg, Richard 1 Epstein, Charles Lawrence 1 Evans, William Desmond 1 Gornet, Ruth 1 Kitaev, Sergey 1 Lytle, George 1 Miller, Peter D. 1 Mourre, Éric 1 Mueller, Jennifer L. 1 Ott, Katharine A. 1 Patterson, Samuel James 1 Saut, Jean-Claude 1 Schueller, Albert W. 1 Siedentop, Heinz Karl Heinrich 1 Stahel, Andreas 1 Uribe, Alejandro 1 Williams, Floyd L. 1 Yang, Paul C. P.
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### Serials

 5 Communications in Mathematical Physics 4 Duke Mathematical Journal 4 Journal of Functional Analysis 4 The Journal of Geometric Analysis 4 Communications in Partial Differential Equations 3 Inverse Problems 3 Journal für die Reine und Angewandte Mathematik 3 IMRN. International Mathematics Research Notices 3 Proceedings of Symposia in Pure Mathematics 3 Analysis & PDE 2 Nonlinearity 2 Commentarii Mathematici Helvetici 2 Geometric and Functional Analysis. GAFA 2 Bulletin of the American Mathematical Society. New Series 1 Communications on Pure and Applied Mathematics 1 Acta Mathematica 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Operator Theory 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Mathematical Research Letters 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Pure and Applied Mathematics 1 Contemporary Mathematics 1 Fields Institute Communications 1 Mathematical Reports (Chur) 1 Journal of Spectral Theory 1 Journal of Combinatorics
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### Fields

 48 Partial differential equations (35-XX) 36 Global analysis, analysis on manifolds (58-XX) 19 Operator theory (47-XX) 18 Dynamical systems and ergodic theory (37-XX) 16 Quantum theory (81-XX) 13 Number theory (11-XX) 10 Differential geometry (53-XX) 6 Ordinary differential equations (34-XX) 5 General and overarching topics; collections (00-XX) 5 Functions of a complex variable (30-XX) 4 Optics, electromagnetic theory (78-XX) 3 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Manifolds and cell complexes (57-XX) 2 Fluid mechanics (76-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)

### Citations contained in zbMATH Open

67 Publications have been cited 791 times in 575 Documents Cited by Year
Spectral analysis of N-body Schrödinger operators. Zbl 0477.35069
Perry, P.; Sigal, I. M.; Simon, B.
1981
Multiple commutator estimates and resolvent smoothness in quantum scattering theory. Zbl 0561.47007
Jensen, Arne; Mourre, Éric; Perry, Peter
1984
The divisor of Selberg’s zeta function for Kleinian groups. Appendix A by Charles Epstein. Zbl 1012.11083
Patterson, S. J.; Perry, Peter A.
2001
Scattering theory by the Enss method. Ed. by B. Simon. Zbl 0529.35004
Perry, Peter A.
1983
The spectrum of relativistic one-electron atoms according to Bethe and Salpeter. Zbl 0857.47041
Evans, William Desmond; Perry, Peter; Siedentop, Heinz
1996
Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering. Zbl 1358.35173
Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine
2016
The Laplace operator on a hyperbolic manifold. II: Eisenstein series and the scattering matrix. Zbl 0677.58044
Perry, Peter A.
1989
Long-time behavior of solutions to the derivative nonlinear Schrödinger equation for soliton-free initial data. (Comportement aux temps longs des solutions de l’équation de Schrödinger nonlinéraire avec dérivée en l’absence de solitons.) Zbl 1382.35271
Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine
2018
Isospectral sets of conformally equivalent metrics. Zbl 0667.53037
Brooks, Robert; Perry, Peter; Yang, Paul
1989
Soliton resolution for the derivative nonlinear Schrödinger equation. Zbl 1408.35175
Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine
2018
On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains. Zbl 0969.35105
Brown, Russell M.; Perry, Peter A.; Shen, Zhongwei
2000
Global well-posedness and long-time asymptotics for the defocussing Davey-Stewartson II equation in $$H^{1,1}(\mathbb{C})$$. Zbl 1354.37067
Perry, Peter A.
2016
Scattering poles for asymptotically hyperbolic manifolds. Zbl 1009.58021
Borthwick, David; Perry, Peter
2002
Propagation of states in dilation analytic potentials and asymptotic completeness. Zbl 0471.47007
Perry, Peter A.
1981
Selberg’s zeta function and the spectral geometry of geometrically finite hyperbolic surfaces. Zbl 1079.58023
Borthwick, David; Judge, Chris; Perry, Peter A.
2005
The Miura map on the line. Zbl 1089.35058
Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter
2005
Mellin transforms and scattering theory I. Short range potentials. Zbl 0445.47009
Perry, Peter A.
1980
The Laplace operator on a hyperbolic manifold. I: Spectral and scattering theory. Zbl 0631.58030
Perry, Peter A.
1987
Commutator methods and Besov space estimates for Schrödinger operators. Zbl 0574.35022
Jensen, Arne; Perry, Peter
1985
A spectral approach to consecutive pattern-avoiding permutations. Zbl 1247.05013
Ehrenborg, Richard; Kitaev, Sergey; Perry, Peter
2011
Compactness and finiteness theorems for isospectral manifolds. Zbl 0737.53038
Brooks, Robert; Perry, Peter; Petersen, Peter V
1992
CR-invariants and the scattering operator for complex manifolds with boundary. Zbl 1159.32023
Hislop, Peter D.; Perry, Peter A.; Tang, Siu-Hung
2008
Isospectral and isoscattering manifolds: a survey of techniques and examples. Zbl 1087.58021
Gordon, Carolyn; Perry, Peter; Schueth, Dorothee
2005
The Selberg zeta function and a local trace formula for Kleinian groups. Zbl 0697.10027
Perry, Peter A.
1990
Exceptional circles of radial potentials. Zbl 1276.78001
Music, M.; Perry, P.; Siltanen, S.
2013
Miura maps and inverse scattering for the Novikov-Veselov equation. Zbl 1405.37081
Perry, Peter
2014
Isospectral sets for fourth-order ordinary differential operators. Zbl 0912.34068
Caudill, Lester F. jun.; Perry, Peter A.; Schueller, Albert W.
1998
Determinants of Laplacians and isopolar metrics on surfaces of infinite area. Zbl 1040.58013
Borthwick, David; Judge, Chris; Perry, Peter A.
2003
A Poisson summation formula and lower bounds for resonances in hyperbolic manifolds. Zbl 1035.58020
Perry, Peter A.
2003
A Mourre estimate and related bounds for hyperbolic manifolds with cusps of non-maximal rank. Zbl 0729.58051
Froese, R.; Hislop, P.; Perry, P.
1991
Selberg zeta function and trace formula for the BTZ black hole. Zbl 1056.11030
Perry, Peter A.; Williams, Floyd L.
2003
Inverse scattering for Schrödinger operators with Miura potentials. I: Unique Riccati representatives and ZS-AKNS systems. Zbl 1181.35330
Frayer, C.; Hryniv, R. O.; Mykytyuk, Ya V.; Perry, P. A.
2009
Global well-posedness for the derivative non-linear Schrödinger equation. Zbl 1412.35309
Jenkins, Robert; Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine
2018
Exponential bounds and semi-finiteness of point spectrum for N-body Schrödinger operators. Zbl 0546.35051
Perry, Peter A.
1984
Isoscattering Schottky manifolds. Zbl 0966.58018
Brooks, Robert; Gornet, Ruth; Perry, Peter
2000
Asymptotics of the length spectrum for hyperbolic manifolds of infinite volume. Zbl 0986.11059
Perry, P. A.
2001
On Cheeger’s inequality. Zbl 0809.53049
Brooks, Robert; Perry, Peter; Petersen, Peter V
1993
The Laplace operator on hyperbolic three manifolds with cusps of non- maximal rank. Zbl 0763.58028
Froese, R.; Hislop, P.; Perry, P.
1991
The Novikov-Veselov equation: theory and computation. Zbl 1330.35375
Croke, R.; Mueller, J. L.; Music, M.; Perry, P.; Siltanen, S.; Stahel, A.
2015
Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087
Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P.
2008
Local time decay of high energy scattering states for the Schrödinger equation. Zbl 0538.35026
Cycon, Hans L.; Perry, Peter A.
1985
Inverse scattering results for manifolds hyperbolic near infinity. Zbl 1229.58024
Borthwick, David; Perry, Peter A.
2011
The derivative nonlinear Schrödinger equation: global well-posedness and soliton resolution. Zbl 1434.35180
Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine
2020
Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Zbl 1110.00015
2007
The spectral geometry of geometrically finite hyperbolic manifolds. Zbl 1138.58009
Perry, Peter
2007
Asymptotic completeness for certain three-body Schrödinger operators. Zbl 0506.35026
Hagedorn, George A.; Perry, Peter A.
1983
A trace-class rigidity theorem for Kleinian groups. Zbl 0861.57017
Perry, Peter A.
1995
Inverse scattering for Schrödinger operators with Miura potentials. II: Different Riccati representatives. Zbl 1232.34113
Hryniv, Rostyslav O.; Mykytyuk, Yaroslav V.; Perry, Peter A.
2011
Isophasal scattering manifolds in two dimensions. Zbl 1005.58011
Brooks, Robert; Perry, Peter A.
2001
Action of a scattering map on weighted Sobolev spaces in the plane. Zbl 1375.35287
Brown, R. M.; Ott, K. A.; Perry, P. A.
2016
Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities. Zbl 1451.35186
Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine
2020
The Selberg zeta function and scattering poles for Kleinian groups. Zbl 0723.11028
Perry, Peter A.
1991
Continuous families of isophasal scattering manifolds. Zbl 1139.58022
Gordon, Carolyn; Perry, Peter
2006
A remark on continuum eigenfunctions of N-body Schrödinger operators. Zbl 0576.35107
Perry, Peter A.
1984
Asymptotic completeness of certain four-body Schrödinger operators. Zbl 0589.35032
Hagedorn, George A.; Perry, Peter A.
1986
Sobolev mapping properties of the scattering transform for the Schrödinger equation. Zbl 1221.34230
Hryniv, Rostyslav O.; Mykytyuk, Yaroslav V.; Perry, Peter A.
2011
Resonances for manifolds hyperbolic near infinity: optimal lower bounds on order of growth. Zbl 1228.53045
Borthwick, D.; Christiansen, T. J.; Hislop, P. D.; Perry, P. A.
2011
The additive turbulent decomposition for the two-dimensional incompressible Navier-Stokes equations: Convergence theorems and error estimates. Zbl 0922.35123
Brown, Russell M.; Perry, Peter; Shen, Zhongwei
1999
Meromorphic continuation of the resolvent for Kleinian groups. Zbl 0942.58033
Perry, Peter
1999
The Selberg zeta function and scattering poles for Kleinian groups. Zbl 0824.11037
Perry, Peter A.
1995
Closed geodesics in homology classes for convex co-compact hyperbolic manifolds. Zbl 1122.11307
McGowan, Jeffrey; Perry, Peter
2002
Global solutions for the zero-energy Novikov-Veselov equation by inverse scattering. Zbl 1396.37074
Music, Michael; Perry, Peter
2018
Carnot geometry and the resolvent of the sub-Laplacian for the Heisenberg group. Zbl 1035.35027
Perry, Peter A.
2003
Harmonic representatives for cuspidal cohomology classes. Zbl 1250.30037
Dodziuk, Józef; McGowan, Jeffrey; Perry, Peter
2012
Spectral geometry. Based on the international conference, Dartmouth, NH, USA, July 19–23, 2010. Zbl 1253.58001
2012
CR-invariants and the scattering operator for complex manifolds with CR-boundary. Zbl 1096.58009
Hislop, Peter D.; Perry, Peter A.; Tang, Siu-Hung
2006
Nachman’s reconstruction method for the Calderón problem with discontinuous conductivities. Zbl 1437.35356
Lytle, George; Perry, Peter; Siltanen, Samuli
2020
The derivative nonlinear Schrödinger equation: global well-posedness and soliton resolution. Zbl 1434.35180
Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine
2020
Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities. Zbl 1451.35186
Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine
2020
Nachman’s reconstruction method for the Calderón problem with discontinuous conductivities. Zbl 1437.35356
Lytle, George; Perry, Peter; Siltanen, Samuli
2020
Long-time behavior of solutions to the derivative nonlinear Schrödinger equation for soliton-free initial data. (Comportement aux temps longs des solutions de l’équation de Schrödinger nonlinéraire avec dérivée en l’absence de solitons.) Zbl 1382.35271
Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine
2018
Soliton resolution for the derivative nonlinear Schrödinger equation. Zbl 1408.35175
Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine
2018
Global well-posedness for the derivative non-linear Schrödinger equation. Zbl 1412.35309
Jenkins, Robert; Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine
2018
Global solutions for the zero-energy Novikov-Veselov equation by inverse scattering. Zbl 1396.37074
Music, Michael; Perry, Peter
2018
Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering. Zbl 1358.35173
Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine
2016
Global well-posedness and long-time asymptotics for the defocussing Davey-Stewartson II equation in $$H^{1,1}(\mathbb{C})$$. Zbl 1354.37067
Perry, Peter A.
2016
Action of a scattering map on weighted Sobolev spaces in the plane. Zbl 1375.35287
Brown, R. M.; Ott, K. A.; Perry, P. A.
2016
The Novikov-Veselov equation: theory and computation. Zbl 1330.35375
Croke, R.; Mueller, J. L.; Music, M.; Perry, P.; Siltanen, S.; Stahel, A.
2015
Miura maps and inverse scattering for the Novikov-Veselov equation. Zbl 1405.37081
Perry, Peter
2014
Exceptional circles of radial potentials. Zbl 1276.78001
Music, M.; Perry, P.; Siltanen, S.
2013
Harmonic representatives for cuspidal cohomology classes. Zbl 1250.30037
Dodziuk, Józef; McGowan, Jeffrey; Perry, Peter
2012
Spectral geometry. Based on the international conference, Dartmouth, NH, USA, July 19–23, 2010. Zbl 1253.58001
2012
A spectral approach to consecutive pattern-avoiding permutations. Zbl 1247.05013
Ehrenborg, Richard; Kitaev, Sergey; Perry, Peter
2011
Inverse scattering results for manifolds hyperbolic near infinity. Zbl 1229.58024
Borthwick, David; Perry, Peter A.
2011
Inverse scattering for Schrödinger operators with Miura potentials. II: Different Riccati representatives. Zbl 1232.34113
Hryniv, Rostyslav O.; Mykytyuk, Yaroslav V.; Perry, Peter A.
2011
Sobolev mapping properties of the scattering transform for the Schrödinger equation. Zbl 1221.34230
Hryniv, Rostyslav O.; Mykytyuk, Yaroslav V.; Perry, Peter A.
2011
Resonances for manifolds hyperbolic near infinity: optimal lower bounds on order of growth. Zbl 1228.53045
Borthwick, D.; Christiansen, T. J.; Hislop, P. D.; Perry, P. A.
2011
Inverse scattering for Schrödinger operators with Miura potentials. I: Unique Riccati representatives and ZS-AKNS systems. Zbl 1181.35330
Frayer, C.; Hryniv, R. O.; Mykytyuk, Ya V.; Perry, P. A.
2009
CR-invariants and the scattering operator for complex manifolds with boundary. Zbl 1159.32023
Hislop, Peter D.; Perry, Peter A.; Tang, Siu-Hung
2008
Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087
Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P.
2008
Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Zbl 1110.00015
2007
The spectral geometry of geometrically finite hyperbolic manifolds. Zbl 1138.58009
Perry, Peter
2007
Continuous families of isophasal scattering manifolds. Zbl 1139.58022
Gordon, Carolyn; Perry, Peter
2006
CR-invariants and the scattering operator for complex manifolds with CR-boundary. Zbl 1096.58009
Hislop, Peter D.; Perry, Peter A.; Tang, Siu-Hung
2006
Selberg’s zeta function and the spectral geometry of geometrically finite hyperbolic surfaces. Zbl 1079.58023
Borthwick, David; Judge, Chris; Perry, Peter A.
2005
The Miura map on the line. Zbl 1089.35058
Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter
2005
Isospectral and isoscattering manifolds: a survey of techniques and examples. Zbl 1087.58021
Gordon, Carolyn; Perry, Peter; Schueth, Dorothee
2005
Determinants of Laplacians and isopolar metrics on surfaces of infinite area. Zbl 1040.58013
Borthwick, David; Judge, Chris; Perry, Peter A.
2003
A Poisson summation formula and lower bounds for resonances in hyperbolic manifolds. Zbl 1035.58020
Perry, Peter A.
2003
Selberg zeta function and trace formula for the BTZ black hole. Zbl 1056.11030
Perry, Peter A.; Williams, Floyd L.
2003
Carnot geometry and the resolvent of the sub-Laplacian for the Heisenberg group. Zbl 1035.35027
Perry, Peter A.
2003
Scattering poles for asymptotically hyperbolic manifolds. Zbl 1009.58021
Borthwick, David; Perry, Peter
2002
Closed geodesics in homology classes for convex co-compact hyperbolic manifolds. Zbl 1122.11307
McGowan, Jeffrey; Perry, Peter
2002
The divisor of Selberg’s zeta function for Kleinian groups. Appendix A by Charles Epstein. Zbl 1012.11083
Patterson, S. J.; Perry, Peter A.
2001
Asymptotics of the length spectrum for hyperbolic manifolds of infinite volume. Zbl 0986.11059
Perry, P. A.
2001
Isophasal scattering manifolds in two dimensions. Zbl 1005.58011
Brooks, Robert; Perry, Peter A.
2001
On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains. Zbl 0969.35105
Brown, Russell M.; Perry, Peter A.; Shen, Zhongwei
2000
Isoscattering Schottky manifolds. Zbl 0966.58018
Brooks, Robert; Gornet, Ruth; Perry, Peter
2000
The additive turbulent decomposition for the two-dimensional incompressible Navier-Stokes equations: Convergence theorems and error estimates. Zbl 0922.35123
Brown, Russell M.; Perry, Peter; Shen, Zhongwei
1999
Meromorphic continuation of the resolvent for Kleinian groups. Zbl 0942.58033
Perry, Peter
1999
Isospectral sets for fourth-order ordinary differential operators. Zbl 0912.34068
Caudill, Lester F. jun.; Perry, Peter A.; Schueller, Albert W.
1998
The spectrum of relativistic one-electron atoms according to Bethe and Salpeter. Zbl 0857.47041
Evans, William Desmond; Perry, Peter; Siedentop, Heinz
1996
A trace-class rigidity theorem for Kleinian groups. Zbl 0861.57017
Perry, Peter A.
1995
The Selberg zeta function and scattering poles for Kleinian groups. Zbl 0824.11037
Perry, Peter A.
1995
On Cheeger’s inequality. Zbl 0809.53049
Brooks, Robert; Perry, Peter; Petersen, Peter V
1993
Compactness and finiteness theorems for isospectral manifolds. Zbl 0737.53038
Brooks, Robert; Perry, Peter; Petersen, Peter V
1992
A Mourre estimate and related bounds for hyperbolic manifolds with cusps of non-maximal rank. Zbl 0729.58051
Froese, R.; Hislop, P.; Perry, P.
1991
The Laplace operator on hyperbolic three manifolds with cusps of non- maximal rank. Zbl 0763.58028
Froese, R.; Hislop, P.; Perry, P.
1991
The Selberg zeta function and scattering poles for Kleinian groups. Zbl 0723.11028
Perry, Peter A.
1991
The Selberg zeta function and a local trace formula for Kleinian groups. Zbl 0697.10027
Perry, Peter A.
1990
The Laplace operator on a hyperbolic manifold. II: Eisenstein series and the scattering matrix. Zbl 0677.58044
Perry, Peter A.
1989
Isospectral sets of conformally equivalent metrics. Zbl 0667.53037
Brooks, Robert; Perry, Peter; Yang, Paul
1989
The Laplace operator on a hyperbolic manifold. I: Spectral and scattering theory. Zbl 0631.58030
Perry, Peter A.
1987
Asymptotic completeness of certain four-body Schrödinger operators. Zbl 0589.35032
Hagedorn, George A.; Perry, Peter A.
1986
Commutator methods and Besov space estimates for Schrödinger operators. Zbl 0574.35022
Jensen, Arne; Perry, Peter
1985
Local time decay of high energy scattering states for the Schrödinger equation. Zbl 0538.35026
Cycon, Hans L.; Perry, Peter A.
1985
Multiple commutator estimates and resolvent smoothness in quantum scattering theory. Zbl 0561.47007
Jensen, Arne; Mourre, Éric; Perry, Peter
1984
Exponential bounds and semi-finiteness of point spectrum for N-body Schrödinger operators. Zbl 0546.35051
Perry, Peter A.
1984
A remark on continuum eigenfunctions of N-body Schrödinger operators. Zbl 0576.35107
Perry, Peter A.
1984
Scattering theory by the Enss method. Ed. by B. Simon. Zbl 0529.35004
Perry, Peter A.
1983
Asymptotic completeness for certain three-body Schrödinger operators. Zbl 0506.35026
Hagedorn, George A.; Perry, Peter A.
1983
Spectral analysis of N-body Schrödinger operators. Zbl 0477.35069
Perry, P.; Sigal, I. M.; Simon, B.
1981
Propagation of states in dilation analytic potentials and asymptotic completeness. Zbl 0471.47007
Perry, Peter A.
1981
Mellin transforms and scattering theory I. Short range potentials. Zbl 0445.47009
Perry, Peter A.
1980
all top 5

### Cited by 576 Authors

 28 Perry, Peter A. 15 Sigal, Israel Michael 15 Skibsted, Erik 14 Herbst, Ira W. 11 Tamura, Hideo 10 Guillarmou, Colin 10 Wang, Xueping 9 Borthwick, David 9 Simon, Barry 9 Yafaev, Dimitri R. 8 Ehrenborg, Richard 8 Froese, Richard 8 Gérard, Christian 8 Jensen, Arne 8 Siedentop, Heinz Karl Heinrich 8 Vasy, András 7 Fan, Engui 7 Hryniv, Rostyslav O. 7 Naud, Frédéric 7 Ozawa, Tohru 7 Sá Barreto, Antônio 7 Siltanen, Samuli 7 Soffer, Avraham 6 Adachi, Tadayoshi 6 Albin, Pierre 6 Bytsenko, Andrei A. 6 Gordon, Carolyn S. 6 Liu, Jiaqi 6 Sulem, Catherine 5 Bouclet, Jean-Marc 5 Boutet de Monvel, Anne Marie 5 Brooks, Robert Wolfe 5 Dereziński, Jan 5 Golénia, Sylvain 5 Hislop, Peter D. 5 Isozaki, Hiroshi 5 Klein, Christian 5 Korotyaev, Evgeny L. 5 Liu, Nan 5 Melgaard, Michael 5 Møller, Jacob Schach 5 Topalov, Peter J. 5 Zhong, Chengkui 5 Zworski, Maciej 4 Christiansen, Tanya J. 4 Georgescu, Vladimir 4 Guo, Boling 4 Hassell, Andrew 4 Lassas, Matti J. 4 Matte, Oliver 4 McLaughlin, Kenneth D. T.-R. 4 Muthuramalingam, Pl. 4 Mykytyuk, Yaroslav V. 4 Pohl, Anke D. 4 Rochon, Frédéric 4 Royer, Julien 4 Webb, David L. 4 Weich, Tobias 3 Agmon, Shmuel 3 Bach, Volker 3 Ben-Artzi, Matania 3 Bony, Jean-François 3 Branson, Thomas Patrick 3 Budylin, A. M. 3 Cheng, Qiaoyuan 3 Dyatlov, Semyon 3 Faupin, Jérémy 3 Fröhlich, Jürg Martin 3 Gilkey, Peter B. 3 Guillopé, Laurent 3 Häfner, Dietrich 3 Ito, Hiroshi T. 3 Ito, Kenichi 3 Jakobson, Dmitry 3 Kappeler, Thomas 3 Kazeykina, Anna 3 Koch, Herbert 3 Kovařík, Hynek 3 Łaba, Izabella 3 Lanphier, Dominic 3 Levin, S. B. 3 Lieb, Elliott H. 3 Makover, Eran 3 Manda, Dragos 3 Mandich, Marc-Adrien 3 Marugame, Taiji 3 Matsumoto, Yoshihiko 3 Mazzeo, Rafe R. 3 McOwen, Robert C. 3 Mueller, Jennifer L. 3 Nakamura, Shu 3 Nicoleau, François 3 Robert, Didier 3 Rybkin, Alexei 3 Schlenker, Jean-Marc 3 Sinha, Kalyan B. 3 Soares, Louis 3 Solovej, Jan Philip 3 Stockmeyer, Edgardo 3 Xu, Xingwang ...and 476 more Authors
all top 5

### Cited in 147 Serials

 49 Journal of Functional Analysis 44 Communications in Mathematical Physics 25 Duke Mathematical Journal 23 Journal of Mathematical Physics 23 Communications in Partial Differential Equations 21 Journal of Differential Equations 15 Letters in Mathematical Physics 15 Annales de l’Institut Henri Poincaré. Physique Théorique 14 Journal of Mathematical Analysis and Applications 14 Advances in Mathematics 11 Annales Henri Poincaré 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 10 The Journal of Geometric Analysis 9 Journal d’Analyse Mathématique 9 Annales de l’Institut Fourier 9 Transactions of the American Mathematical Society 8 Reviews in Mathematical Physics 8 Bulletin of the American Mathematical Society. New Series 7 Inventiones Mathematicae 7 Proceedings of the American Mathematical Society 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Mathematische Zeitschrift 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Geometric and Functional Analysis. GAFA 5 Integral Equations and Operator Theory 5 Differential Geometry and its Applications 5 Discrete and Continuous Dynamical Systems 5 Journal of Spectral Theory 4 Archive for Rational Mechanics and Analysis 4 Inverse Problems 4 Nonlinearity 4 Nuclear Physics. B 4 Mathematische Annalen 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Advances in Applied Mathematics 4 Annals of Global Analysis and Geometry 4 Journal of Mathematical Sciences (New York) 4 Communications on Pure and Applied Analysis 3 Discrete Mathematics 3 Acta Mathematica 3 Journal für die Reine und Angewandte Mathematik 3 Nagoya Mathematical Journal 3 Ergodic Theory and Dynamical Systems 3 Physica D 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Nonlinear Science 3 Selecta Mathematica. New Series 3 Journal of High Energy Physics 3 Inverse Problems and Imaging 3 Bulletin of Mathematical Sciences 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 Russian Mathematical Surveys 2 Theoretical and Mathematical Physics 2 Journal of Combinatorial Theory. Series A 2 Journal of Computational and Applied Mathematics 2 Journal of the Mathematical Society of Japan 2 Journal of Soviet Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Experimental Mathematics 2 Mathematical Communications 2 Nonlinear Dynamics 2 Mathematical Physics, Analysis and Geometry 2 Physical Review Letters 2 Journal of Nonlinear Mathematical Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Central European Journal of Mathematics 2 Journal of the Institute of Mathematics of Jussieu 2 Boundary Value Problems 2 Advances in Mathematical Physics 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Computational Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Wave Motion 1 Journal of Geometry and Physics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Applied Mathematics and Optimization 1 Bulletin of the London Mathematical Society 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Publications Mathématiques 1 Journal of Approximation Theory 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Quarterly of Applied Mathematics 1 Real Analysis Exchange 1 Results in Mathematics 1 Siberian Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 European Journal of Combinatorics 1 Algorithmica ...and 47 more Serials
all top 5

### Cited in 45 Fields

 334 Partial differential equations (35-XX) 196 Quantum theory (81-XX) 151 Operator theory (47-XX) 133 Global analysis, analysis on manifolds (58-XX) 66 Dynamical systems and ergodic theory (37-XX) 50 Differential geometry (53-XX) 31 Ordinary differential equations (34-XX) 25 Number theory (11-XX) 20 Fluid mechanics (76-XX) 16 Combinatorics (05-XX) 16 Functions of a complex variable (30-XX) 16 Relativity and gravitational theory (83-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Numerical analysis (65-XX) 12 Functional analysis (46-XX) 12 Mechanics of particles and systems (70-XX) 12 Optics, electromagnetic theory (78-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Topological groups, Lie groups (22-XX) 7 Manifolds and cell complexes (57-XX) 6 Algebraic geometry (14-XX) 6 Measure and integration (28-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Probability theory and stochastic processes (60-XX) 4 Approximations and expansions (41-XX) 4 Geometry (51-XX) 4 Mechanics of deformable solids (74-XX) 4 Biology and other natural sciences (92-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX)