Edit Profile (opens in new tab) Melrose, Richard Burt Co-Author Distance Author ID: melrose.richard-b Published as: Melrose, Richard B.; Melrose, Richard; Melrose, R. B.; Melrose, R. more...less External Links: MGP · Wikidata · GND · IdRef Videos: carmin.tv Documents Indexed: 122 Publications since 1975, including 4 Books and 12 Additional arXiv Preprints 3 Contributions as Editor · 2 Further Contributions Co-Authors: 37 Co-Authors with 83 Joint Publications 1,064 Co-Co-Authors all top 5 Co-Authors 43 single-authored 8 Albin, Pierre 7 Vasy, András 6 Mazzeo, Rafe R. 6 Sá Barreto, Antônio 5 Hassell, Andrew 5 Kottke, Chris 5 Mathai, Varghese 5 Rochon, Frédéric 4 Dimakis, Panagiotis 4 Nistor, Victor 4 Wunsch, Jared 4 Zworski, Maciej 3 Guillemin, Victor W. 3 Piazza, Paolo 3 Singer, Isadore Manuel 3 Sjöstrand, Johannes 3 Uhlmann, Gunther Alberto 2 Andersson, Karl Gustav 2 Burghelea, Dan 2 Epstein, Charles Lawrence 2 Lee, John M. 2 Marvizi, Shahla 2 Mendoza, Gerardo A. 2 Mishchenko, Aleksandr Sergeevich 2 Ritter, Niles 2 Taylor, Michael Eugene 2 Troitskiĭ, Evgeniĭ Vadimovich 2 Zhu, Xuwen 1 Beals, Michael 1 Bojarski, Bogdan 1 Dai, Xianzhe 1 Freed, Daniel Stuart 1 Friedlander, Frederick Gerard 1 Pemberton, Malcolm 1 Rauch, Jeffrey B. 1 Vogan, David Alexander jun. 1 Weber, Andrzej all top 5 Serials 7 Duke Mathematical Journal 6 Journal of Differential Geometry 6 Communications in Partial Differential Equations 5 Advances in Mathematics 5 Inventiones Mathematicae 4 Communications on Pure and Applied Mathematics 3 Acta Mathematica 3 Journal of Functional Analysis 3 IMRN. International Mathematics Research Notices 3 Séminaire Équations aux Dérivées Partielles 3 Mathematical Research Letters 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Geometric and Functional Analysis. GAFA 2 Astérisque 2 Trends in Mathematics 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Arkiv för Matematik 1 Annales de l’Institut Fourier 1 Hokkaido Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Topology 1 Transactions of the American Mathematical Society 1 \(K\)-Theory 1 Proceedings of the National Academy of Sciences of the United States of America 1 Communications in Analysis and Geometry 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Serdica Mathematical Journal 1 The Asian Journal of Mathematics 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 Algebraic & Geometric Topology 1 Bulletin of the American Mathematical Society 1 The IMA Volumes in Mathematics and its Applications 1 Research Notes in Mathematics 1 Analysis & PDE 1 Journal of Topology and Analysis all top 5 Fields 71 Global analysis, analysis on manifolds (58-XX) 69 Partial differential equations (35-XX) 14 Operator theory (47-XX) 13 Differential geometry (53-XX) 11 \(K\)-theory (19-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Manifolds and cell complexes (57-XX) 6 Functional analysis (46-XX) 5 Algebraic topology (55-XX) 5 Quantum theory (81-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 3,358 times in 1,876 Documents Cited by ▼ Year ▼ The Atiyah-Patodi-Singer index theorem. Zbl 0796.58050 Melrose, Richard B. 409 1993 Geometric scattering theory. Zbl 0849.58071 Melrose, Richard B. 224 1995 Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature. Zbl 0636.58034 Mazzeo, Rafe R.; Melrose, Richard B. 204 1987 Spectral and scattering theory for the Laplacian on asymptotically Euclidean spaces. Zbl 0837.35107 Melrose, Richard B. 156 1994 Singularities of boundary value problems. I. Zbl 0368.35020 Melrose, R. B.; Sjöstrand, J. 131 1978 Singularities of boundary value problems. II. Zbl 0546.35083 Melrose, R. B.; Sjöstrand, J. 92 1982 Calculus of conormal distributions on manifolds with corners. Zbl 0754.58035 Melrose, Richard B. 91 1992 Lagrangian intersection and the Cauchy problem. Zbl 0396.58006 Melrose, R. B.; Uhlmann, G. A. 87 1979 Pseudodifferential operators on manifolds with fibred boundaries. Zbl 1125.58304 Mazzeo, Rafe; Melrose, Richard B. 83 1998 Transformation of boundary problems. Zbl 0492.58023 Melrose, Richard B. 83 1981 Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle. Zbl 0591.58034 Melrose, Richard B.; Taylor, Michael E. 77 1985 Singularities and energy decay in acoustical scattering. Zbl 0415.35050 Melrose, R. B. 72 1979 Boundary behaviour of the complex Monge-Ampère equation. Zbl 0496.35042 Lee, John; Melrose, Richard 70 1982 Resolvent of the Laplacian on strictly pseudoconvex domains. Zbl 0758.32010 Epstein, C. L.; Melrose, R. B.; Mendoza, G. A. 66 1991 Equivalence of glancing hyper-surfaces. Zbl 0354.53033 Melrose, R. B. 63 1976 The propagation of singularities along gliding rays. Zbl 0373.35053 Andersson, K. G.; Melrose, R. B. 62 1977 Scattering metrics and geodesic flow at infinity. Zbl 0855.58058 Melrose, Richard; Zworski, Maciej 57 1996 Interaction of nonlinear progressing waves for semilinear wave equations. Zbl 0575.35063 Melrose, Richard; Ritter, Niles 57 1985 Microlocal parametrices for diffractive boundary value problems. Zbl 0368.35055 Melrose, Richard B. 48 1975 Families of Dirac operators, boundaries and the \(B\)-calculus. Zbl 0955.58020 Melrose, Richard B.; Piazza, Paolo 46 1997 The Poisson summation formula for manifolds with boundary. Zbl 0421.35082 Guillemin, Victor; Melrose, Richard 43 1979 Polynomial bound on the number of scattering poles. Zbl 0535.35067 Melrose, Richard 42 1983 Analytic \(K\)-theory on manifolds with corners. Zbl 0761.55002 Melrose, Richard B.; Piazza, Paolo 42 1992 Spectral invariants of convex planar regions. Zbl 0492.53033 Marvizi, Shahla; Melrose, Richard 39 1982 The adiabatic limit, Hodge cohomology and Leray’s spectral sequence for a fibration. Zbl 0702.58007 Mazzeo, Rafe R.; Melrose, Richard B. 35 1990 Weyl asymptotics for the phase in obstacle scattering. Zbl 0686.35089 Melrose, Richard B. 35 1988 Propagation of singularities for the wave equation on conic manifolds. Zbl 1088.58011 Melrose, Richard; Wunsch, Jared 33 2004 Pseudodifferential operators, corners and singular limits. Zbl 0743.58033 Melrose, Richard B. 32 1991 Analytic surgery and the accumulation of eigenvalues. Zbl 0854.58039 Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B. 30 1995 \(K\)-theory of \(C^*\)-algebras of b-pseudodifferential operators. Zbl 0898.46060 Melrose, R.; Nistor, V. 30 1998 Asymptotics of solutions of the wave equation on de Sitter-Schwarzschild space. Zbl 1286.35145 Melrose, Richard; Barreto, Antônio Sá; Vasy, András 29 2014 Weyl’s conjecture for manifolds with concave boundary. Zbl 0436.58024 Melrose, R. B. 29 1980 The eta invariant and families of pseudodifferential operators. Zbl 0934.58025 Melrose, Richard B. 28 1995 An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary. Zbl 0920.58053 Melrose, Richard B.; Piazza, Paolo 25 1997 Spectral and scattering theory for symbolic potentials of order zero. Zbl 1038.35085 Hassell, Andrew; Melrose, Richard; Vasy, András 25 2004 Microlocal structure of involutive conical refraction. Zbl 0422.58026 Melrose, R. B.; Uhlmann, G. A. 25 1979 Propagation for the wave group of a positive subelliptic second-order differential operator. Zbl 0696.35064 Melrose, Richard 24 1986 Scattering theory and the trace of the wave group. Zbl 0525.47007 Melrose, Richard 23 1982 Analytic surgery and the eta invariant. Zbl 0838.57022 Mazzeo, R. R.; Melrose, R. B. 23 1995 Index in \(K\)-theory for families of fibred cusp operators. Zbl 1126.58010 Melrose, Richard; Rochon, Frédéric 22 2006 Propagation of singularities for the wave equation on edge manifolds. Zbl 1147.58029 Melrose, Richard; Vasy, András; Wunsch, Jared 22 2008 Polynomial bound on the distribution of poles in scattering by an obstacle. Zbl 0621.35073 Melrose, Richard 21 1984 The index of projective families of elliptic operators. Zbl 1083.58021 Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 21 2005 Equivalence of glancing hypersurfaces. II. Zbl 0472.53045 Melrose, R. B. 20 1981 Interaction of progressing waves for semilinear wave equations. II. Zbl 0653.35058 Melrose, Richard B.; Ritter, Niles 19 1987 Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces. Zbl 1323.58020 Melrose, Richard; Barreto, Antônio Sá; Vasy, András 19 2014 The Cauchy problem for effectively hyperbolic operators. Zbl 0544.35094 Melrose, Richard 18 1983 A mod \(k\) index theorem. Zbl 0760.58039 Freed, Daniel S.; Melrose, Richard B. 18 1992 Microlocal propagation near radial points and scattering for symbolic potentials of order zero. Zbl 1152.35454 Hassell, Andrew; Melrose, Richard; Vasy, András 17 2008 The radiation pattern of a diffracted wave near the shadow boundary. Zbl 0632.35056 Melrose, Richard B.; Taylor, Michael E. 17 1986 Forward scattering by a convex obstacle. Zbl 0435.35066 Melrose, R. B. 16 1980 Contact degree and the index of Fourier integral operators. Zbl 0929.58012 Epstein, Charles; Melrose, Richard 16 1998 Generalized blow-up of corners and fiber products. Zbl 1372.57042 Kottke, Chris; Melrose, Richard B. 15 2015 The wave equation for a hypoelliptic operator with symplectic characteristics of codimension two. Zbl 0599.35139 Melrose, Richard B. 15 1985 Local Fourier-Airy integral operators. Zbl 0368.35054 Melrose, Richard B. 14 1975 A cohomological invariant of discrete dynamical systems. Zbl 0482.58032 Guillemin, Victor; Melrose, Richard 13 1981 Fractional analytic index. Zbl 1115.58021 Mathai, V.; Melrose, R. B.; Singer, I. M. 13 2006 The trace of the wave group. Zbl 0547.35095 Melrose, Richard 12 1984 A signature formula for manifolds with corners of codimension two. Zbl 0883.58038 Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B. 12 1997 Adiabatic limit, heat kernel and analytic torsion. Zbl 1318.58019 Dai, Xianzhe; Melrose, Richard B. 10 2012 An inverse spectral result for elliptical regions of \(\mathbb{R}^2\). Zbl 0415.35062 Guillemin, Victor; Melrose, Richard 10 1979 Diffraction of singularities for the wave equation on manifolds with corners. Zbl 1277.35004 Melrose, Richard; Vasy, András; Wunsch, Jared 10 2013 Semi-linear diffraction of conormal waves. Zbl 0902.35004 Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej 9 1996 The wave front set of the solution of a simple initial-boundary value problem with glancing rays. II. Zbl 0356.35056 Friedlander, F. G.; Melrose, R. B. 9 1977 Resolution of smooth group actions. Zbl 1218.58009 Albin, Pierre; Melrose, Richard 9 2011 Airy operators. Zbl 0384.35052 Melrose, R. B. 9 1978 The Cauchy problem and propagation of singularities. Zbl 0599.35095 Melrose, Richard 9 1984 Families index for pseudodifferential operators on manifolds with boundary. Zbl 1086.58011 Melrose, Richard; Rochon, Frédéric 8 2004 Boundary behaviour of Weil-Petersson and fibre metrics for Riemann moduli spaces. Zbl 1457.32038 Melrose, Richard; Zhu, Xuwen 8 2019 Fredholm realizations of elliptic symbols on manifolds with boundary. Zbl 1161.58011 Albin, Pierre; Melrose, Richard 7 2009 Generalized backscattering and the Lax-Phillips transform. Zbl 1199.35270 Melrose, R.; Uhlmann, G. 7 2008 The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006 Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 7 2009 Fibrations, compactifications and algebras of pseudodifferential operators. Zbl 0853.35142 Melrose, Richard B. 6 1996 Normal self-intersections of the characteristic variety. Zbl 0336.35017 Melrose, Richard B. 6 1975 Interaction of progressing waves through a nonlinear potential. Zbl 0554.35085 Melrose, R. B. 5 1984 Star products and local line bundles. Zbl 1061.47064 Melrose, Richard 5 2004 Geometry of pseudodifferential algebra bundles and Fourier integral operators. Zbl 1397.58015 Mathai, Varghese; Melrose, Richard B. 5 2017 Geometric optics and the bottom of the spectrum. Zbl 0889.35129 Melrose, Richard B. 4 1997 Nonlinear interaction of a cusp and a plane. Zbl 0847.35086 Melrose, Richard B.; Sá Barreto, Antônio 4 1995 Relative Chern character, boundaries and index formulas. Zbl 1207.58020 Albin, Pierre; Melrose, Richard 4 2009 Differential boundary value problems of principal type. Zbl 0447.35053 Melrose, R. B. 4 1979 Hypoelliptic operators with characteristic variety of codimension two and the wave equation. Zbl 0468.35032 Melrose, R. B. 4 1980 Singularities of solutions to boundary value problems. Zbl 0452.35120 Melrose, Richard B. 4 1980 The Cauchy problem with polynomial growth conditions for partial differential operators with constant coefficients. Zbl 0337.35012 Melrose, R. B. 4 1975 Propagation of singularities along gliding rays. Zbl 0358.35048 Andersson, K. G.; Melrose, R. 4 1977 Resolution of the canonical fiber metrics for a Lefschetz fibration. Zbl 1404.30047 Melrose, Richard; Zhu, Xuwen 4 2018 Semilinear waves with cusp singularities. Zbl 0656.35098 Melrose, Richard B. 3 1987 Singularities and the wave equation on conic spaces. Zbl 1122.58302 Melrose, Richard B.; Wunsch, Jared 3 2001 Periodicity and the determinant bundle. Zbl 1130.58013 Melrose, Richard; Rochon, Frédéric 3 2007 Eta forms and the odd pseudodifferential families index. Zbl 1239.58019 Melrose, Richard; Rochon, Frédéric 3 2011 Loop-fusion cohomology and transgression. Zbl 1331.55002 Kottke, Chris; Melrose, Richard B. 3 2015 Elliptic boundary problems on spaces with conic points. Zbl 0481.35004 Melrose, Richard B.; Mendoza, Gerardo A. 2 1981 Transformation methods for boundary value problems. Zbl 0477.35087 Melrose, Richard B. 2 1981 Conormality, cusps and nonlinear interaction. Zbl 0794.35005 Melrose, Richard B. 2 1991 Boundaries, eta invariant and the determinant bundle. Zbl 1196.58015 Melrose, Richard; Rochon, Frédéric 2 2008 Fredholm realizations of elliptic symbols on manifolds with boundary. II: Fibered boundary. Zbl 1217.58014 Albin, Pierre; Melrose, Richard 2 2010 Homology and the Heisenberg algebra. Joint work with C. Epstein and G. Mendoza. Zbl 1054.58013 Melrose, Richard 2 1997 Scattering theory for strictly pseudoconvex domains. Zbl 0927.37034 Melrose, Richard 2 1999 Periodic solutions of certain nonlinear autonomous wave equations. Zbl 0315.35007 Melrose, Richard B.; Pemberton, Malcolm 2 1975 Generalized blow-up of corners and fiber products. Zbl 1271.58006 Kottke, Chris; Melrose, Richard 2 2013 Equivariant \(K\)-theory and resolution. I: Abelian actions. Zbl 1511.19006 Dimakis, Panagiotis; Melrose, Richard 1 2020 Boundary behaviour of Weil-Petersson and fibre metrics for Riemann moduli spaces. Zbl 1457.32038 Melrose, Richard; Zhu, Xuwen 8 2019 Resolution of the canonical fiber metrics for a Lefschetz fibration. Zbl 1404.30047 Melrose, Richard; Zhu, Xuwen 4 2018 Geometry of pseudodifferential algebra bundles and Fourier integral operators. Zbl 1397.58015 Mathai, Varghese; Melrose, Richard B. 5 2017 Generalized blow-up of corners and fiber products. Zbl 1372.57042 Kottke, Chris; Melrose, Richard B. 15 2015 Loop-fusion cohomology and transgression. Zbl 1331.55002 Kottke, Chris; Melrose, Richard B. 3 2015 Asymptotics of solutions of the wave equation on de Sitter-Schwarzschild space. Zbl 1286.35145 Melrose, Richard; Barreto, Antônio Sá; Vasy, András 29 2014 Analytic continuation and semiclassical resolvent estimates on asymptotically hyperbolic spaces. Zbl 1323.58020 Melrose, Richard; Barreto, Antônio Sá; Vasy, András 19 2014 Diffraction of singularities for the wave equation on manifolds with corners. Zbl 1277.35004 Melrose, Richard; Vasy, András; Wunsch, Jared 10 2013 Generalized blow-up of corners and fiber products. Zbl 1271.58006 Kottke, Chris; Melrose, Richard 2 2013 Adiabatic limit, heat kernel and analytic torsion. Zbl 1318.58019 Dai, Xianzhe; Melrose, Richard B. 10 2012 Resolution of smooth group actions. Zbl 1218.58009 Albin, Pierre; Melrose, Richard 9 2011 Eta forms and the odd pseudodifferential families index. Zbl 1239.58019 Melrose, Richard; Rochon, Frédéric 3 2011 Fredholm realizations of elliptic symbols on manifolds with boundary. II: Fibered boundary. Zbl 1217.58014 Albin, Pierre; Melrose, Richard 2 2010 Fredholm realizations of elliptic symbols on manifolds with boundary. Zbl 1161.58011 Albin, Pierre; Melrose, Richard 7 2009 The index of projective families of elliptic operators: the decomposable case. Zbl 1207.19006 Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 7 2009 Relative Chern character, boundaries and index formulas. Zbl 1207.58020 Albin, Pierre; Melrose, Richard 4 2009 Propagation of singularities for the wave equation on edge manifolds. Zbl 1147.58029 Melrose, Richard; Vasy, András; Wunsch, Jared 22 2008 Microlocal propagation near radial points and scattering for symbolic potentials of order zero. Zbl 1152.35454 Hassell, Andrew; Melrose, Richard; Vasy, András 17 2008 Generalized backscattering and the Lax-Phillips transform. Zbl 1199.35270 Melrose, R.; Uhlmann, G. 7 2008 Boundaries, eta invariant and the determinant bundle. Zbl 1196.58015 Melrose, Richard; Rochon, Frédéric 2 2008 Periodicity and the determinant bundle. Zbl 1130.58013 Melrose, Richard; Rochon, Frédéric 3 2007 Index in \(K\)-theory for families of fibred cusp operators. Zbl 1126.58010 Melrose, Richard; Rochon, Frédéric 22 2006 Fractional analytic index. Zbl 1115.58021 Mathai, V.; Melrose, R. B.; Singer, I. M. 13 2006 The index of projective families of elliptic operators. Zbl 1083.58021 Mathai, Varghese; Melrose, Richard B.; Singer, Isadore M. 21 2005 Propagation of singularities for the wave equation on conic manifolds. Zbl 1088.58011 Melrose, Richard; Wunsch, Jared 33 2004 Spectral and scattering theory for symbolic potentials of order zero. Zbl 1038.35085 Hassell, Andrew; Melrose, Richard; Vasy, András 25 2004 Families index for pseudodifferential operators on manifolds with boundary. Zbl 1086.58011 Melrose, Richard; Rochon, Frédéric 8 2004 Star products and local line bundles. Zbl 1061.47064 Melrose, Richard 5 2004 Singularities and the wave equation on conic spaces. Zbl 1122.58302 Melrose, Richard B.; Wunsch, Jared 3 2001 Scattering theory for strictly pseudoconvex domains. Zbl 0927.37034 Melrose, Richard 2 1999 Pseudodifferential operators on manifolds with fibred boundaries. Zbl 1125.58304 Mazzeo, Rafe; Melrose, Richard B. 83 1998 \(K\)-theory of \(C^*\)-algebras of b-pseudodifferential operators. Zbl 0898.46060 Melrose, R.; Nistor, V. 30 1998 Contact degree and the index of Fourier integral operators. Zbl 0929.58012 Epstein, Charles; Melrose, Richard 16 1998 Families of Dirac operators, boundaries and the \(B\)-calculus. Zbl 0955.58020 Melrose, Richard B.; Piazza, Paolo 46 1997 An index theorem for families of Dirac operators on odd-dimensional manifolds with boundary. Zbl 0920.58053 Melrose, Richard B.; Piazza, Paolo 25 1997 A signature formula for manifolds with corners of codimension two. Zbl 0883.58038 Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B. 12 1997 Geometric optics and the bottom of the spectrum. Zbl 0889.35129 Melrose, Richard B. 4 1997 Homology and the Heisenberg algebra. Joint work with C. Epstein and G. Mendoza. Zbl 1054.58013 Melrose, Richard 2 1997 Scattering metrics and geodesic flow at infinity. Zbl 0855.58058 Melrose, Richard; Zworski, Maciej 57 1996 Semi-linear diffraction of conormal waves. Zbl 0902.35004 Melrose, Richard B.; Sá Barreto, Antônio; Zworski, Maciej 9 1996 Fibrations, compactifications and algebras of pseudodifferential operators. Zbl 0853.35142 Melrose, Richard B. 6 1996 Geometric scattering theory. Zbl 0849.58071 Melrose, Richard B. 224 1995 Analytic surgery and the accumulation of eigenvalues. Zbl 0854.58039 Hassell, Andrew; Mazzeo, Rafe; Melrose, Richard B. 30 1995 The eta invariant and families of pseudodifferential operators. Zbl 0934.58025 Melrose, Richard B. 28 1995 Analytic surgery and the eta invariant. Zbl 0838.57022 Mazzeo, R. R.; Melrose, R. B. 23 1995 Nonlinear interaction of a cusp and a plane. Zbl 0847.35086 Melrose, Richard B.; Sá Barreto, Antônio 4 1995 Spectral and scattering theory for the Laplacian on asymptotically Euclidean spaces. Zbl 0837.35107 Melrose, Richard B. 156 1994 The Atiyah-Patodi-Singer index theorem. Zbl 0796.58050 Melrose, Richard B. 409 1993 Calculus of conormal distributions on manifolds with corners. Zbl 0754.58035 Melrose, Richard B. 91 1992 Analytic \(K\)-theory on manifolds with corners. Zbl 0761.55002 Melrose, Richard B.; Piazza, Paolo 42 1992 A mod \(k\) index theorem. Zbl 0760.58039 Freed, Daniel S.; Melrose, Richard B. 18 1992 Resolvent of the Laplacian on strictly pseudoconvex domains. Zbl 0758.32010 Epstein, C. L.; Melrose, R. B.; Mendoza, G. A. 66 1991 Pseudodifferential operators, corners and singular limits. Zbl 0743.58033 Melrose, Richard B. 32 1991 Conormality, cusps and nonlinear interaction. Zbl 0794.35005 Melrose, Richard B. 2 1991 The adiabatic limit, Hodge cohomology and Leray’s spectral sequence for a fibration. Zbl 0702.58007 Mazzeo, Rafe R.; Melrose, Richard B. 35 1990 Weyl asymptotics for the phase in obstacle scattering. Zbl 0686.35089 Melrose, Richard B. 35 1988 Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature. Zbl 0636.58034 Mazzeo, Rafe R.; Melrose, Richard B. 204 1987 Interaction of progressing waves for semilinear wave equations. II. Zbl 0653.35058 Melrose, Richard B.; Ritter, Niles 19 1987 Semilinear waves with cusp singularities. Zbl 0656.35098 Melrose, Richard B. 3 1987 Propagation for the wave group of a positive subelliptic second-order differential operator. Zbl 0696.35064 Melrose, Richard 24 1986 The radiation pattern of a diffracted wave near the shadow boundary. Zbl 0632.35056 Melrose, Richard B.; Taylor, Michael E. 17 1986 Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle. Zbl 0591.58034 Melrose, Richard B.; Taylor, Michael E. 77 1985 Interaction of nonlinear progressing waves for semilinear wave equations. Zbl 0575.35063 Melrose, Richard; Ritter, Niles 57 1985 The wave equation for a hypoelliptic operator with symplectic characteristics of codimension two. Zbl 0599.35139 Melrose, Richard B. 15 1985 Polynomial bound on the distribution of poles in scattering by an obstacle. Zbl 0621.35073 Melrose, Richard 21 1984 The trace of the wave group. Zbl 0547.35095 Melrose, Richard 12 1984 The Cauchy problem and propagation of singularities. Zbl 0599.35095 Melrose, Richard 9 1984 Interaction of progressing waves through a nonlinear potential. Zbl 0554.35085 Melrose, R. B. 5 1984 Polynomial bound on the number of scattering poles. Zbl 0535.35067 Melrose, Richard 42 1983 The Cauchy problem for effectively hyperbolic operators. Zbl 0544.35094 Melrose, Richard 18 1983 Singularities of boundary value problems. II. Zbl 0546.35083 Melrose, R. B.; Sjöstrand, J. 92 1982 Boundary behaviour of the complex Monge-Ampère equation. Zbl 0496.35042 Lee, John; Melrose, Richard 70 1982 Spectral invariants of convex planar regions. Zbl 0492.53033 Marvizi, Shahla; Melrose, Richard 39 1982 Scattering theory and the trace of the wave group. Zbl 0525.47007 Melrose, Richard 23 1982 Some spectrally isolated convex planar regions. Zbl 0504.53040 Marvizi, Shahla; Melrose, Richard B. 1 1982 Transformation of boundary problems. Zbl 0492.58023 Melrose, Richard B. 83 1981 Equivalence of glancing hypersurfaces. II. Zbl 0472.53045 Melrose, R. B. 20 1981 A cohomological invariant of discrete dynamical systems. Zbl 0482.58032 Guillemin, Victor; Melrose, Richard 13 1981 Elliptic boundary problems on spaces with conic points. Zbl 0481.35004 Melrose, Richard B.; Mendoza, Gerardo A. 2 1981 Transformation methods for boundary value problems. Zbl 0477.35087 Melrose, Richard B. 2 1981 Weyl’s conjecture for manifolds with concave boundary. Zbl 0436.58024 Melrose, R. B. 29 1980 Forward scattering by a convex obstacle. Zbl 0435.35066 Melrose, R. B. 16 1980 Hypoelliptic operators with characteristic variety of codimension two and the wave equation. Zbl 0468.35032 Melrose, R. B. 4 1980 Singularities of solutions to boundary value problems. Zbl 0452.35120 Melrose, Richard B. 4 1980 Lagrangian intersection and the Cauchy problem. Zbl 0396.58006 Melrose, R. B.; Uhlmann, G. A. 87 1979 Singularities and energy decay in acoustical scattering. Zbl 0415.35050 Melrose, R. B. 72 1979 The Poisson summation formula for manifolds with boundary. Zbl 0421.35082 Guillemin, Victor; Melrose, Richard 43 1979 Microlocal structure of involutive conical refraction. Zbl 0422.58026 Melrose, R. B.; Uhlmann, G. A. 25 1979 An inverse spectral result for elliptical regions of \(\mathbb{R}^2\). Zbl 0415.35062 Guillemin, Victor; Melrose, Richard 10 1979 Differential boundary value problems of principal type. Zbl 0447.35053 Melrose, R. B. 4 1979 Singularities of boundary value problems. I. Zbl 0368.35020 Melrose, R. B.; Sjöstrand, J. 131 1978 Airy operators. Zbl 0384.35052 Melrose, R. B. 9 1978 Propagation de singularites pour des problèmes aux limites d’ordre 2. Zbl 0383.35043 Melrose, R. B.; Sjöstrand, J. 1 1978 The propagation of singularities along gliding rays. Zbl 0373.35053 Andersson, K. G.; Melrose, R. B. 62 1977 The wave front set of the solution of a simple initial-boundary value problem with glancing rays. II. Zbl 0356.35056 Friedlander, F. G.; Melrose, R. B. 9 1977 Propagation of singularities along gliding rays. Zbl 0358.35048 Andersson, K. G.; Melrose, R. 4 1977 Equivalence of glancing hyper-surfaces. Zbl 0354.53033 Melrose, R. B. 63 1976 Microlocal parametrices for diffractive boundary value problems. Zbl 0368.35055 Melrose, Richard B. 48 1975 Local Fourier-Airy integral operators. Zbl 0368.35054 Melrose, Richard B. 14 1975 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,390 Authors 50 Vasy, András 35 Melrose, Richard Burt 33 Uhlmann, Gunther Alberto 31 Zworski, Maciej 28 Guillarmou, Colin 25 Hassell, Andrew 25 Nistor, Victor 24 Mazzeo, Rafe R. 24 Rochon, Frédéric 24 Sá Barreto, Antônio 22 Petkov, Vesselin M. 22 Wunsch, Jared 21 Spence, Euan A. 21 Vertman, Boris 19 Wang, Yiran 18 Coriasco, Sandro 18 Miranda, Eva 17 Hintz, Peter 17 Moroianu, Sergiu 17 Stoyanov, Luchezar N. 16 Albin, Pierre 16 Burq, Nicolas 15 Galkowski, Jeffrey 15 Lassas, Matti J. 15 Loya, Paul A. 15 Park, Jinsung 15 Piazza, Paolo 15 Schrohe, Elmar 14 Christiansen, Tanya J. 14 Schulze, Bert-Wolfgang 13 Greenleaf, Allan 13 Sjöstrand, Johannes 12 Kaloshin, Vadim Yu. 12 Leichtnam, Eric 12 Savin, Anton Yur’evich 12 Zelditch, Steven Morris 11 Baskin, Dean 11 Colin de Verdière, Yves 11 Dyatlov, Semyon 11 Krainer, Thomas 11 Mendoza, Gerardo A. 11 Perry, Peter A. 11 Stefanov, Plamen D. 10 Borthwick, David 10 Felea, Raluca 10 Gell-Redman, Jesse 10 Lauter, Robert 10 Vodev, Georgi 9 Ascanelli, Alessia 9 Kottke, Chris 9 Lebeau, Gilles 9 Lescure, Jean-Marie 9 Novikov, Roman G. 9 Sogge, Christopher D. 9 Taylor, Michael Eugene 9 Zhang, Junyong 8 Chen, Hua 8 Chen, Xi 8 Gover, Ashwin Rod 8 Grieser, Daniel 8 Hillairet, Luc 8 Martini, Alessio 8 Naud, Frédéric 8 Ponge, Raphaël S. 8 Rowlett, Julie 8 Salo, Mikko 8 Skibsted, Erik 8 Strohmaier, Alexander 8 Tabachnikov, Serge L. 7 Aloui, Lassaad 7 Bahuaud, Eric 7 Cappiello, Marco 7 Dai, Xianzhe 7 de Hoop, Maarten V. 7 Debord, Claire 7 Epstein, Charles Lawrence 7 Gannot, Oran 7 Guillemin, Victor W. 7 Hezari, Hamid 7 Joshi, Mark S. 7 Lafontaine, David 7 Nishitani, Tatsuo 7 Popov, Georgi St. 7 Ruzhansky, Michael V. 7 Seiler, Jörg 7 Sher, David A. 7 Smyshlyaev, Valery P. 7 Sternin, Boris Yur’evich 7 Vasilyev, Vladimir Borisovich 7 Williams, Mark 6 Ammann, Bernd Eberhard 6 Barbagallo, Annamaria 6 Bunke, Ulrich 6 Cakoni, Fioralba 6 Carrillo-Rouse, Paulo 6 Campos de Carvalho, Catarina 6 Chang, Sun-Yung Alice 6 Datchev, Kiril R. 6 Ebenfelt, Peter 6 Ecevit, Fatih ...and 1,290 more Authors all top 5 Cited in 265 Serials 120 Communications in Partial Differential Equations 112 Journal of Functional Analysis 89 Communications in Mathematical Physics 64 Advances in Mathematics 61 Duke Mathematical Journal 56 Annales de l’Institut Fourier 52 Transactions of the American Mathematical Society 52 The Journal of Geometric Analysis 34 Journal of Geometry and Physics 34 Mathematische Annalen 33 Journal of Differential Equations 31 Annales Henri Poincaré 26 Journal of Mathematical Analysis and Applications 25 Mathematische Zeitschrift 24 Journal d’Analyse Mathématique 23 Mathematische Nachrichten 22 Inventiones Mathematicae 21 Journal of Mathematical Physics 21 Annals of Global Analysis and Geometry 19 Proceedings of the American Mathematical Society 18 Journal de Mathématiques Pures et Appliquées. 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Series A 8 Revista Matemática Iberoamericana 8 Journal of the Institute of Mathematics of Jussieu 8 Inverse Problems and Imaging 8 Journal of \(K\)-Theory 7 Journal of Computational Physics 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Arkiv för Matematik 7 Pacific Journal of Mathematics 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Archive for Rational Mechanics and Analysis 6 Mathematical Methods in the Applied Sciences 6 Nonlinearity 6 Journal of the Mathematical Society of Japan 6 Monatshefte für Mathematik 6 Differential Geometry and its Applications 6 Journal of Mathematical Sciences (New York) 6 Regular and Chaotic Dynamics 6 Communications in Contemporary Mathematics 6 Oberwolfach Reports 6 Annals of PDE 6 Séminaire Laurent Schwartz. EDP et Applications 5 Reviews in Mathematical Physics 5 Compositio Mathematica 5 Functional Analysis and its Applications 5 Proceedings of the London Mathematical Society. Third Series 5 Ergodic Theory and Dynamical Systems 5 Acta Applicandae Mathematicae 5 \(K\)-Theory 5 Discrete and Continuous Dynamical Systems 5 Journal of High Energy Physics 5 Journal of Hyperbolic Differential Equations 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Science China. Mathematics 5 Bulletin of Mathematical Sciences 5 Nonlinear Analysis. Theory, Methods & Applications 5 Journal de l’École Polytechnique – Mathématiques 4 Applicable Analysis 4 Mathematical Notes 4 Wave Motion 4 Journal of Computational and Applied Mathematics 4 Journal of the London Mathematical Society. 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New Series 4 Russian Journal of Mathematical Physics ...and 165 more Serials all top 5 Cited in 54 Fields 1,076 Partial differential equations (35-XX) 822 Global analysis, analysis on manifolds (58-XX) 386 Differential geometry (53-XX) 247 Operator theory (47-XX) 194 Quantum theory (81-XX) 125 Dynamical systems and ergodic theory (37-XX) 120 Several complex variables and analytic spaces (32-XX) 86 Functional analysis (46-XX) 83 \(K\)-theory (19-XX) 77 Relativity and gravitational theory (83-XX) 62 Optics, electromagnetic theory (78-XX) 54 Numerical analysis (65-XX) 53 Manifolds and cell complexes (57-XX) 49 Topological groups, Lie groups (22-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 41 Number theory (11-XX) 37 Algebraic topology (55-XX) 32 Algebraic geometry (14-XX) 32 Ordinary differential equations (34-XX) 31 Mechanics of deformable solids (74-XX) 31 Systems theory; control (93-XX) 27 Functions of a complex variable (30-XX) 27 Abstract harmonic analysis (43-XX) 26 Integral transforms, operational calculus (44-XX) 23 Fluid mechanics (76-XX) 19 Mechanics of particles and systems (70-XX) 17 Probability theory and stochastic processes (60-XX) 16 Potential theory (31-XX) 10 Special functions (33-XX) 8 Integral equations (45-XX) 8 Geometry (51-XX) 8 Geophysics (86-XX) 7 General and overarching topics; collections (00-XX) 7 Group theory and generalizations (20-XX) 7 Convex and discrete geometry (52-XX) 7 Biology and other natural sciences (92-XX) 6 Real functions (26-XX) 6 Measure and integration (28-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 General topology (54-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Nonassociative rings and algebras (17-XX) 4 Category theory; homological algebra (18-XX) 4 Astronomy and astrophysics (85-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Approximations and expansions (41-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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