Edit Profile (opens in new tab) Perry, Peter A. Compute Distance To: Compute 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 all top 5 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. all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0477.35069Perry, P.; Sigal, I. M.; Simon, B. 131 1981 Multiple commutator estimates and resolvent smoothness in quantum scattering theory. Zbl 0561.47007Jensen, Arne; Mourre, Éric; Perry, Peter 60 1984 The divisor of Selberg’s zeta function for Kleinian groups. Appendix A by Charles Epstein. Zbl 1012.11083Patterson, S. J.; Perry, Peter A. 57 2001 Scattering theory by the Enss method. Ed. by B. Simon. Zbl 0529.35004Perry, Peter A. 33 1983 The spectrum of relativistic one-electron atoms according to Bethe and Salpeter. Zbl 0857.47041Evans, William Desmond; Perry, Peter; Siedentop, Heinz 23 1996 Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering. Zbl 1358.35173Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine 22 2016 The Laplace operator on a hyperbolic manifold. II: Eisenstein series and the scattering matrix. Zbl 0677.58044Perry, Peter A. 21 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 1382.35271Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine 20 2018 Isospectral sets of conformally equivalent metrics. Zbl 0667.53037Brooks, Robert; Perry, Peter; Yang, Paul 19 1989 Soliton resolution for the derivative nonlinear Schrödinger equation. Zbl 1408.35175Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine 18 2018 On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains. Zbl 0969.35105Brown, Russell M.; Perry, Peter A.; Shen, Zhongwei 18 2000 Global well-posedness and long-time asymptotics for the defocussing Davey-Stewartson II equation in \(H^{1,1}(\mathbb{C})\). Zbl 1354.37067Perry, Peter A. 18 2016 Scattering poles for asymptotically hyperbolic manifolds. Zbl 1009.58021Borthwick, David; Perry, Peter 16 2002 Propagation of states in dilation analytic potentials and asymptotic completeness. Zbl 0471.47007Perry, Peter A. 16 1981 Selberg’s zeta function and the spectral geometry of geometrically finite hyperbolic surfaces. Zbl 1079.58023Borthwick, David; Judge, Chris; Perry, Peter A. 16 2005 The Miura map on the line. Zbl 1089.35058Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter 16 2005 Mellin transforms and scattering theory I. Short range potentials. Zbl 0445.47009Perry, Peter A. 15 1980 The Laplace operator on a hyperbolic manifold. I: Spectral and scattering theory. Zbl 0631.58030Perry, Peter A. 14 1987 Commutator methods and Besov space estimates for Schrödinger operators. Zbl 0574.35022Jensen, Arne; Perry, Peter 13 1985 A spectral approach to consecutive pattern-avoiding permutations. Zbl 1247.05013Ehrenborg, Richard; Kitaev, Sergey; Perry, Peter 13 2011 Compactness and finiteness theorems for isospectral manifolds. Zbl 0737.53038Brooks, Robert; Perry, Peter; Petersen, Peter V 12 1992 CR-invariants and the scattering operator for complex manifolds with boundary. Zbl 1159.32023Hislop, Peter D.; Perry, Peter A.; Tang, Siu-Hung 12 2008 Isospectral and isoscattering manifolds: a survey of techniques and examples. Zbl 1087.58021Gordon, Carolyn; Perry, Peter; Schueth, Dorothee 11 2005 The Selberg zeta function and a local trace formula for Kleinian groups. Zbl 0697.10027Perry, Peter A. 10 1990 Exceptional circles of radial potentials. Zbl 1276.78001Music, M.; Perry, P.; Siltanen, S. 10 2013 Miura maps and inverse scattering for the Novikov-Veselov equation. Zbl 1405.37081Perry, Peter 9 2014 Isospectral sets for fourth-order ordinary differential operators. Zbl 0912.34068Caudill, Lester F. jun.; Perry, Peter A.; Schueller, Albert W. 9 1998 Determinants of Laplacians and isopolar metrics on surfaces of infinite area. Zbl 1040.58013Borthwick, David; Judge, Chris; Perry, Peter A. 9 2003 A Poisson summation formula and lower bounds for resonances in hyperbolic manifolds. Zbl 1035.58020Perry, Peter A. 9 2003 A Mourre estimate and related bounds for hyperbolic manifolds with cusps of non-maximal rank. Zbl 0729.58051Froese, R.; Hislop, P.; Perry, P. 8 1991 Selberg zeta function and trace formula for the BTZ black hole. Zbl 1056.11030Perry, Peter A.; Williams, Floyd L. 8 2003 Inverse scattering for Schrödinger operators with Miura potentials. I: Unique Riccati representatives and ZS-AKNS systems. Zbl 1181.35330Frayer, C.; Hryniv, R. O.; Mykytyuk, Ya V.; Perry, P. A. 8 2009 Global well-posedness for the derivative non-linear Schrödinger equation. Zbl 1412.35309Jenkins, Robert; Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine 8 2018 Exponential bounds and semi-finiteness of point spectrum for N-body Schrödinger operators. Zbl 0546.35051Perry, Peter A. 7 1984 Isoscattering Schottky manifolds. Zbl 0966.58018Brooks, Robert; Gornet, Ruth; Perry, Peter 7 2000 Asymptotics of the length spectrum for hyperbolic manifolds of infinite volume. Zbl 0986.11059Perry, P. A. 7 2001 On Cheeger’s inequality. Zbl 0809.53049Brooks, Robert; Perry, Peter; Petersen, Peter V 7 1993 The Laplace operator on hyperbolic three manifolds with cusps of non- maximal rank. Zbl 0763.58028Froese, R.; Hislop, P.; Perry, P. 6 1991 The Novikov-Veselov equation: theory and computation. Zbl 1330.35375Croke, R.; Mueller, J. L.; Music, M.; Perry, P.; Siltanen, S.; Stahel, A. 6 2015 Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P. 6 2008 Local time decay of high energy scattering states for the Schrödinger equation. Zbl 0538.35026Cycon, Hans L.; Perry, Peter A. 5 1985 Inverse scattering results for manifolds hyperbolic near infinity. Zbl 1229.58024Borthwick, David; Perry, Peter A. 5 2011 The derivative nonlinear Schrödinger equation: global well-posedness and soliton resolution. Zbl 1434.35180Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine 5 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 4 2007 The spectral geometry of geometrically finite hyperbolic manifolds. Zbl 1138.58009Perry, Peter 4 2007 Asymptotic completeness for certain three-body Schrödinger operators. Zbl 0506.35026Hagedorn, George A.; Perry, Peter A. 3 1983 A trace-class rigidity theorem for Kleinian groups. Zbl 0861.57017Perry, Peter A. 3 1995 Inverse scattering for Schrödinger operators with Miura potentials. II: Different Riccati representatives. Zbl 1232.34113Hryniv, Rostyslav O.; Mykytyuk, Yaroslav V.; Perry, Peter A. 3 2011 Isophasal scattering manifolds in two dimensions. Zbl 1005.58011Brooks, Robert; Perry, Peter A. 3 2001 Action of a scattering map on weighted Sobolev spaces in the plane. Zbl 1375.35287Brown, R. M.; Ott, K. A.; Perry, P. A. 3 2016 Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities. Zbl 1451.35186Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine 3 2020 The Selberg zeta function and scattering poles for Kleinian groups. Zbl 0723.11028Perry, Peter A. 2 1991 Continuous families of isophasal scattering manifolds. Zbl 1139.58022Gordon, Carolyn; Perry, Peter 2 2006 A remark on continuum eigenfunctions of N-body Schrödinger operators. Zbl 0576.35107Perry, Peter A. 2 1984 Asymptotic completeness of certain four-body Schrödinger operators. Zbl 0589.35032Hagedorn, George A.; Perry, Peter A. 2 1986 Sobolev mapping properties of the scattering transform for the Schrödinger equation. Zbl 1221.34230Hryniv, Rostyslav O.; Mykytyuk, Yaroslav V.; Perry, Peter A. 2 2011 Resonances for manifolds hyperbolic near infinity: optimal lower bounds on order of growth. Zbl 1228.53045Borthwick, D.; Christiansen, T. J.; Hislop, P. D.; Perry, P. A. 2 2011 The additive turbulent decomposition for the two-dimensional incompressible Navier-Stokes equations: Convergence theorems and error estimates. Zbl 0922.35123Brown, Russell M.; Perry, Peter; Shen, Zhongwei 1 1999 Meromorphic continuation of the resolvent for Kleinian groups. Zbl 0942.58033Perry, Peter 1 1999 The Selberg zeta function and scattering poles for Kleinian groups. Zbl 0824.11037Perry, Peter A. 1 1995 Closed geodesics in homology classes for convex co-compact hyperbolic manifolds. Zbl 1122.11307McGowan, Jeffrey; Perry, Peter 1 2002 Global solutions for the zero-energy Novikov-Veselov equation by inverse scattering. Zbl 1396.37074Music, Michael; Perry, Peter 1 2018 Carnot geometry and the resolvent of the sub-Laplacian for the Heisenberg group. Zbl 1035.35027Perry, Peter A. 1 2003 Harmonic representatives for cuspidal cohomology classes. Zbl 1250.30037Dodziuk, Józef; McGowan, Jeffrey; Perry, Peter 1 2012 Spectral geometry. Based on the international conference, Dartmouth, NH, USA, July 19–23, 2010. Zbl 1253.58001 1 2012 CR-invariants and the scattering operator for complex manifolds with CR-boundary. Zbl 1096.58009Hislop, Peter D.; Perry, Peter A.; Tang, Siu-Hung 1 2006 Nachman’s reconstruction method for the Calderón problem with discontinuous conductivities. Zbl 1437.35356Lytle, George; Perry, Peter; Siltanen, Samuli 1 2020 The derivative nonlinear Schrödinger equation: global well-posedness and soliton resolution. Zbl 1434.35180Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine 5 2020 Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities. Zbl 1451.35186Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine 3 2020 Nachman’s reconstruction method for the Calderón problem with discontinuous conductivities. Zbl 1437.35356Lytle, George; Perry, Peter; Siltanen, Samuli 1 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 1382.35271Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine 20 2018 Soliton resolution for the derivative nonlinear Schrödinger equation. Zbl 1408.35175Jenkins, Robert; Liu, Jiaqi; Perry, Peter; Sulem, Catherine 18 2018 Global well-posedness for the derivative non-linear Schrödinger equation. Zbl 1412.35309Jenkins, Robert; Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine 8 2018 Global solutions for the zero-energy Novikov-Veselov equation by inverse scattering. Zbl 1396.37074Music, Michael; Perry, Peter 1 2018 Global existence for the derivative nonlinear Schrödinger equation by the method of inverse scattering. Zbl 1358.35173Liu, Jiaqi; Perry, Peter A.; Sulem, Catherine 22 2016 Global well-posedness and long-time asymptotics for the defocussing Davey-Stewartson II equation in \(H^{1,1}(\mathbb{C})\). Zbl 1354.37067Perry, Peter A. 18 2016 Action of a scattering map on weighted Sobolev spaces in the plane. Zbl 1375.35287Brown, R. M.; Ott, K. A.; Perry, P. A. 3 2016 The Novikov-Veselov equation: theory and computation. Zbl 1330.35375Croke, R.; Mueller, J. L.; Music, M.; Perry, P.; Siltanen, S.; Stahel, A. 6 2015 Miura maps and inverse scattering for the Novikov-Veselov equation. Zbl 1405.37081Perry, Peter 9 2014 Exceptional circles of radial potentials. Zbl 1276.78001Music, M.; Perry, P.; Siltanen, S. 10 2013 Harmonic representatives for cuspidal cohomology classes. Zbl 1250.30037Dodziuk, Józef; McGowan, Jeffrey; Perry, Peter 1 2012 Spectral geometry. Based on the international conference, Dartmouth, NH, USA, July 19–23, 2010. Zbl 1253.58001 1 2012 A spectral approach to consecutive pattern-avoiding permutations. Zbl 1247.05013Ehrenborg, Richard; Kitaev, Sergey; Perry, Peter 13 2011 Inverse scattering results for manifolds hyperbolic near infinity. Zbl 1229.58024Borthwick, David; Perry, Peter A. 5 2011 Inverse scattering for Schrödinger operators with Miura potentials. II: Different Riccati representatives. Zbl 1232.34113Hryniv, Rostyslav O.; Mykytyuk, Yaroslav V.; Perry, Peter A. 3 2011 Sobolev mapping properties of the scattering transform for the Schrödinger equation. Zbl 1221.34230Hryniv, Rostyslav O.; Mykytyuk, Yaroslav V.; Perry, Peter A. 2 2011 Resonances for manifolds hyperbolic near infinity: optimal lower bounds on order of growth. Zbl 1228.53045Borthwick, D.; Christiansen, T. J.; Hislop, P. D.; Perry, P. A. 2 2011 Inverse scattering for Schrödinger operators with Miura potentials. I: Unique Riccati representatives and ZS-AKNS systems. Zbl 1181.35330Frayer, C.; Hryniv, R. O.; Mykytyuk, Ya V.; Perry, P. A. 8 2009 CR-invariants and the scattering operator for complex manifolds with boundary. Zbl 1159.32023Hislop, Peter D.; Perry, Peter A.; Tang, Siu-Hung 12 2008 Solutions of mKdV in classes of functions unbounded at infinity. Zbl 1155.35087Kappeler, T.; Perry, P.; Shubin, M.; Topalov, P. 6 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 4 2007 The spectral geometry of geometrically finite hyperbolic manifolds. Zbl 1138.58009Perry, Peter 4 2007 Continuous families of isophasal scattering manifolds. Zbl 1139.58022Gordon, Carolyn; Perry, Peter 2 2006 CR-invariants and the scattering operator for complex manifolds with CR-boundary. Zbl 1096.58009Hislop, Peter D.; Perry, Peter A.; Tang, Siu-Hung 1 2006 Selberg’s zeta function and the spectral geometry of geometrically finite hyperbolic surfaces. Zbl 1079.58023Borthwick, David; Judge, Chris; Perry, Peter A. 16 2005 The Miura map on the line. Zbl 1089.35058Kappeler, Thomas; Perry, Peter; Shubin, Mikhail; Topalov, Peter 16 2005 Isospectral and isoscattering manifolds: a survey of techniques and examples. Zbl 1087.58021Gordon, Carolyn; Perry, Peter; Schueth, Dorothee 11 2005 Determinants of Laplacians and isopolar metrics on surfaces of infinite area. Zbl 1040.58013Borthwick, David; Judge, Chris; Perry, Peter A. 9 2003 A Poisson summation formula and lower bounds for resonances in hyperbolic manifolds. Zbl 1035.58020Perry, Peter A. 9 2003 Selberg zeta function and trace formula for the BTZ black hole. Zbl 1056.11030Perry, Peter A.; Williams, Floyd L. 8 2003 Carnot geometry and the resolvent of the sub-Laplacian for the Heisenberg group. Zbl 1035.35027Perry, Peter A. 1 2003 Scattering poles for asymptotically hyperbolic manifolds. Zbl 1009.58021Borthwick, David; Perry, Peter 16 2002 Closed geodesics in homology classes for convex co-compact hyperbolic manifolds. Zbl 1122.11307McGowan, Jeffrey; Perry, Peter 1 2002 The divisor of Selberg’s zeta function for Kleinian groups. Appendix A by Charles Epstein. Zbl 1012.11083Patterson, S. J.; Perry, Peter A. 57 2001 Asymptotics of the length spectrum for hyperbolic manifolds of infinite volume. Zbl 0986.11059Perry, P. A. 7 2001 Isophasal scattering manifolds in two dimensions. Zbl 1005.58011Brooks, Robert; Perry, Peter A. 3 2001 On the dimension of the attractor for the non-homogeneous Navier-Stokes equations in non-smooth domains. Zbl 0969.35105Brown, Russell M.; Perry, Peter A.; Shen, Zhongwei 18 2000 Isoscattering Schottky manifolds. Zbl 0966.58018Brooks, Robert; Gornet, Ruth; Perry, Peter 7 2000 The additive turbulent decomposition for the two-dimensional incompressible Navier-Stokes equations: Convergence theorems and error estimates. Zbl 0922.35123Brown, Russell M.; Perry, Peter; Shen, Zhongwei 1 1999 Meromorphic continuation of the resolvent for Kleinian groups. Zbl 0942.58033Perry, Peter 1 1999 Isospectral sets for fourth-order ordinary differential operators. Zbl 0912.34068Caudill, Lester F. jun.; Perry, Peter A.; Schueller, Albert W. 9 1998 The spectrum of relativistic one-electron atoms according to Bethe and Salpeter. Zbl 0857.47041Evans, William Desmond; Perry, Peter; Siedentop, Heinz 23 1996 A trace-class rigidity theorem for Kleinian groups. Zbl 0861.57017Perry, Peter A. 3 1995 The Selberg zeta function and scattering poles for Kleinian groups. Zbl 0824.11037Perry, Peter A. 1 1995 On Cheeger’s inequality. Zbl 0809.53049Brooks, Robert; Perry, Peter; Petersen, Peter V 7 1993 Compactness and finiteness theorems for isospectral manifolds. Zbl 0737.53038Brooks, Robert; Perry, Peter; Petersen, Peter V 12 1992 A Mourre estimate and related bounds for hyperbolic manifolds with cusps of non-maximal rank. Zbl 0729.58051Froese, R.; Hislop, P.; Perry, P. 8 1991 The Laplace operator on hyperbolic three manifolds with cusps of non- maximal rank. Zbl 0763.58028Froese, R.; Hislop, P.; Perry, P. 6 1991 The Selberg zeta function and scattering poles for Kleinian groups. Zbl 0723.11028Perry, Peter A. 2 1991 The Selberg zeta function and a local trace formula for Kleinian groups. Zbl 0697.10027Perry, Peter A. 10 1990 The Laplace operator on a hyperbolic manifold. II: Eisenstein series and the scattering matrix. Zbl 0677.58044Perry, Peter A. 21 1989 Isospectral sets of conformally equivalent metrics. Zbl 0667.53037Brooks, Robert; Perry, Peter; Yang, Paul 19 1989 The Laplace operator on a hyperbolic manifold. I: Spectral and scattering theory. Zbl 0631.58030Perry, Peter A. 14 1987 Asymptotic completeness of certain four-body Schrödinger operators. Zbl 0589.35032Hagedorn, George A.; Perry, Peter A. 2 1986 Commutator methods and Besov space estimates for Schrödinger operators. Zbl 0574.35022Jensen, Arne; Perry, Peter 13 1985 Local time decay of high energy scattering states for the Schrödinger equation. Zbl 0538.35026Cycon, Hans L.; Perry, Peter A. 5 1985 Multiple commutator estimates and resolvent smoothness in quantum scattering theory. Zbl 0561.47007Jensen, Arne; Mourre, Éric; Perry, Peter 60 1984 Exponential bounds and semi-finiteness of point spectrum for N-body Schrödinger operators. Zbl 0546.35051Perry, Peter A. 7 1984 A remark on continuum eigenfunctions of N-body Schrödinger operators. Zbl 0576.35107Perry, Peter A. 2 1984 Scattering theory by the Enss method. Ed. by B. Simon. Zbl 0529.35004Perry, Peter A. 33 1983 Asymptotic completeness for certain three-body Schrödinger operators. Zbl 0506.35026Hagedorn, George A.; Perry, Peter A. 3 1983 Spectral analysis of N-body Schrödinger operators. Zbl 0477.35069Perry, P.; Sigal, I. M.; Simon, B. 131 1981 Propagation of states in dilation analytic potentials and asymptotic completeness. Zbl 0471.47007Perry, Peter A. 16 1981 Mellin transforms and scattering theory I. Short range potentials. Zbl 0445.47009Perry, Peter A. 15 1980 all cited Publications top 5 cited Publications 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) Citations by Year