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Melrose, Richard Burt

Author ID: melrose.richard-b Recent zbMATH articles by "Melrose, Richard Burt"
Published as: Melrose, Richard B.; Melrose, Richard; Melrose, R. B.; Melrose, R.
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Publications by Year

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
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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
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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. Neuvième Série
18 Analysis & PDE
18 Journal of Spectral Theory
17 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
17 SIAM Journal on Mathematical Analysis
16 Journal für die Reine und Angewandte Mathematik
16 Geometric and Functional Analysis. GAFA
15 Journal of Pseudo-Differential Operators and Applications
14 Annals of Mathematics. Second Series
13 Annales de l’Institut Henri Poincaré. Physique Théorique
13 Calculus of Variations and Partial Differential Equations
13 Geometry & Topology
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Pure and Applied Analysis
12 Journal of the American Mathematical Society
12 Journal of the European Mathematical Society (JEMS)
11 Communications on Pure and Applied Mathematics
11 Inverse Problems
11 Acta Mathematica
11 The Journal of Fourier Analysis and Applications
10 Letters in Mathematical Physics
10 Numerische Mathematik
10 Journal of Noncommutative Geometry
9 Israel Journal of Mathematics
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Bulletin de la Société Mathématique de France
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Bulletin of the American Mathematical Society. New Series
8 Integral Equations and Operator Theory
8 Memoirs of the American Mathematical Society
8 Proceedings of the Japan Academy. 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
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6 Journal of Mathematical Sciences (New York)
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6 Communications in Contemporary Mathematics
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5 Reviews in Mathematical Physics
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5 Proceedings of the London Mathematical Society. Third Series
5 Ergodic Theory and Dynamical Systems
5 Acta Applicandae Mathematicae
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5 Discrete and Continuous Dynamical Systems
5 Journal of High Energy Physics
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5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
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4 Journal of the London Mathematical Society. Second Series
4 Journal of Soviet Mathematics
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Siberian Mathematical Journal
4 SIAM Journal on Applied Mathematics
4 Mémoires de la Société Mathématique de France. Nouvelle Série
4 Acta Mathematica Sinica. New Series
4 Russian Journal of Mathematical Physics
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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)
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8 Integral equations (45-XX)
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8 Geophysics (86-XX)
7 General and overarching topics; collections (00-XX)
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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)

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