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Phillips, Ralph Saul

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Author ID: phillips.ralph-saul Recent zbMATH articles by "Phillips, Ralph Saul"
Published as: Phillips, R. S.; Phillips, Ralph S.; Phillips, R.; Phillips, Ralph
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 127 Publications since 1940, including 6 Books
1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 22 Co-Authors with 82 Joint Publications
671 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

108 Publications have been cited 4,696 times in 3,988 Documents Cited by Year
Functional analysis and semigroups. Rev. ed. Zbl 0078.10004
Hille, Einar; Phillips, Ralph S.
1957
Ramanujan graphs. Zbl 0661.05035
Lubotzky, A.; Phillips, R.; Sarnak, P.
380
1988
Scattering theory for transport phenomena. Zbl 0214.12002
Lax, P. D.; Phillips, R. S.
211
1967
Extremals of determinants of Laplacians. Zbl 0653.53022
Osgood, B.; Phillips, R.; Sarnak, P.
184
1988
Local boundary conditions for dissipative symmetric linear differential operators. Zbl 0094.07502
Lax, Peter; Phillips, R. S.
176
1960
Dissipative operators in a Banach space. Zbl 0101.09503
Lumer, G.; Phillips, R. S.
148
1961
Dissipative operators and hyperbolic systems of partial differential equation. Zbl 0093.10001
Phillips, R. S.
114
1959
Scattering theory. Zbl 0186.16301
Lax, Peter D.; Phillips, Ralph S.
108
1967
Scattering theory for automorphic functions. Zbl 0362.10022
Lax, Peter D.; Phillips, Ralph S.
102
1976
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036
Lax, Peter D.; Phillips, Ralph S.
92
1982
On linear transformations. Zbl 0025.34202
Phillips, R. S.
76
1940
On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\). Zbl 0558.10017
Phillips, R. S.; Sarnak, P.
71
1985
Scattering theory. Rev. ed. Zbl 0697.35004
Lax, Peter D.; Phillips, Ralph S.
71
1989
An inversion formula for Laplace transforms and semi-groups of linear operators. Zbl 0059.10704
Phillips, R. S.
69
1954
Functional analysis and semi-groups. 3rd printing of rev. ed. of 1957. Zbl 0392.46001
Hille, Einar; Phillips, Ralph S.
66
1974
Perturbation theory for semi-groups of linear operators. Zbl 0053.08704
Phillips, R. S.
62
1953
Compact isospectral sets of surfaces. Zbl 0653.53021
Osgood, B.; Phillips, R.; Sarnak, P.
56
1988
Scattering theory. Zbl 0117.09104
Lax, P. D.; Phillips, R. S.
56
1964
On the generation of semigroups of linear operators. Zbl 0047.11004
Phillips, R. S.
53
1952
On weakly compact subsets of a Banach space. Zbl 0063.06212
Phillips, R. S.
53
1943
Hecke operators and distributing points on the sphere. I. Zbl 0619.10052
Lubotzky, A.; Phillips, R.; Sarnak, P.
51
1986
Exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle. Zbl 0161.08001
Lax, Peter D.; Morawetz, C. S.; Phillips, R. S.
49
1963
Absolutely convergent Fourier expansions for non-commutative normed rings. Zbl 0060.27204
Bochner, Salomon; Phillips, R. S.
42
1942
Hecke operators and distributing points on \(S^2\). II. Zbl 0648.10034
Lubotzky, A.; Phillips, R.; Sarnak, P.
41
1987
The adjoint semi-group. Zbl 0064.11202
Phillips, R. S.
39
1955
On matrices whose real linear combinations are nonsingular. Zbl 0168.02404
Adams, J. F.; Lax, P. D.; Phillips, R. S.
39
1966
Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036
Lax, P. D.; Phillips, R. S.
38
1972
Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069
Lax, P. D.; Phillips, R. S.
38
1973
Geodesics in homology classes. Zbl 0642.53050
Phillips, Ralph; Sarnak, Peter
34
1987
Decaying modes for the wave equation in the exterior of an obstacle. Zbl 0181.38201
Lax, Peter D.; Phillips, R. S.
33
1969
Integration in a convex linear topological space. Zbl 0022.31902
Phillips, R. S.
26
1940
Elliptic-parabolic equations of the second order. Zbl 0163.34402
Phillips, R. S.; Sarason, L.
23
1968
Hodge theory on hyperbolic manifolds. Zbl 0712.58006
Mazzeo, Rafe; Phillips, Ralph S.
23
1990
The Weyl theorem and the deformation of discrete groups. Zbl 0614.10027
Phillips, R. S.; Sarnak, P.
22
1985
Perturbation theory for the Laplacian on automorphic functions. Zbl 0743.30039
Phillips, R.; Sarnak, P.
22
1992
The Laplacian for domains in hyperbolic space and limit sets of Kleinian groups. Zbl 0611.30037
Phillips, R. S.; Sarnak, P.
21
1985
The circle problem in the hyperbolic plane. Zbl 0812.11035
Phillips, Ralph; Rudnick, Zeév
21
1994
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024
Lax, Peter D.; Phillips, Ralph S.
20
1984
Moduli space, heights and isospectral sets of plane domains. Zbl 0677.58045
Osgood, B.; Phillips, R.; Sarnak, P.
19
1989
Additive set functions and vector lattices. Zbl 0026.00105
Bochner, Salomon; Phillips, R. S.
19
1941
Semi-groups of positive contraction operators. Zbl 0113.09901
Phillips, R. S.
19
1962
Singular symmetric positive first order differential operators. Zbl 0141.28701
Phillips, R. S.; Sarason, L.
19
1966
The Paley-Wiener theorem for the Radon transform. Zbl 0189.14803
Lax, Peter D.; Phillips, R. S.
19
1970
Bessel function approximations. Zbl 0036.04001
Phillips, R. S.; Malin, Henry
18
1950
The scattering of sound waves by an obstacle. Zbl 0335.35075
Lax, Peter D.; Phillips, Ralph S.
17
1977
Maass cusp forms. Zbl 0566.10017
Deshouillers, J.-M.; Iwaniec, H.; Phillips, R. S.; Sarnak, P.
16
1985
Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065
Lax, Peter D.; Phillips, Ralph S.
16
1979
A note on the abstract Cauchy problem. Zbl 0058.10603
Phillips, R. S.
16
1954
Scattering theory for automorphic functions. Zbl 0442.10018
Lax, Peter D.; Phillips, Ralph S.
15
1980
On linear transformations. JFM 66.0554.01
Phillips, R. S.
15
1940
Dissipative hyperbolic systems. Zbl 0081.31102
Phillips, R. S.
15
1957
On symplectic mappings of contraction operators. Zbl 0167.13501
Phillips, R. S.
15
1968
A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002
Lax, P. D.; Phillips, R. S.
15
1971
On one-parameter semi-groups of linear transformations. Zbl 0043.11404
Phillips, R. S.
14
1951
Spectral theory for semi-groups of linear operators. Zbl 0045.21502
Phillips, R. S.
14
1951
The wave equation in exterior domains. Zbl 0103.06401
Lax, Peter D.; Phillips, Ralph S.
14
1962
On the extension problem for dissipative operators. Zbl 0167.13404
Crandall, M. G.; Phillips, R. S.
14
1968
The spectrum of Fermat curves. Zbl 0751.11030
Phillips, R.; Sarnak, P.
13
1991
A scattering theory for automorphic functions. Zbl 0297.35061
Lax, P. D.; Phillips, R. S.
12
1974
The exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle. Zbl 0108.28301
Lax, P. D.; Morawetz, C. S.; Phillips, R. S.
12
1962
On dissipative operators. Zbl 0181.15301
Phillips, R. S.
12
1969
The acoustic equation with an indefinite energy form and the Schrödinger equation. Zbl 0186.16401
Lax, P. D.; Phillips, R. S.
12
1967
Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802
Lax, P. D.; Phillips, R. S.
12
1971
Scattering theory. Zbl 0225.35081
Lax, Peter D.; Phillips, Ralph S.
11
1971
Scattering theory for the wave equation with a short range perturbation. Zbl 0465.35073
Phillips, Ralph S.
10
1982
The extension of dual subspaces invariant under an algebra. Zbl 0115.33003
Phillips, R. S.
10
1961
An example of Huygens’ principle. Zbl 0362.35052
Lax, Peter D.; Phillips, Ralph S.
9
1978
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033
Lax, Peter D.; Phillips, Ralph S.
9
1985
Dissipative operators and parabolic partial differential equation. Zbl 0093.10002
Phillips, R. S.
9
1959
A minimax characterization for the eigenvalues of a positive symmetric operator in a space with an indefinite metric. Zbl 0203.13703
Phillips, R. S.
9
1970
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. II. Zbl 0549.10019
Lax, Peter D.; Phillips, Ralph S.
8
1984
Cusp forms for character varieties. Zbl 0804.11038
Phillips, R.; Sarnak, P.
7
1994
The time delay operator and a related trace formula. Zbl 0463.47006
Lax, Peter D.; Phillips, Ralph S.
7
1978
Automorphic spectrum and Fermi’s golden rule. Zbl 0809.30035
Phillips, R.; Sarnak, P.
6
1992
Compact isospectral of plane domains. Zbl 0674.30021
Osgood, B.; Phillips, R.; Sarnak, P.
6
1988
A characterization of euclidean spaces. Zbl 0024.41402
Phillips, R. S.
6
1940
On Fourier-Stieltjes integrals. Zbl 0039.33101
Phillips, R. S.
6
1950
Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002
Hille, Einar
5
1975
Scattering theory for the wave equation with a short range perturbation. II. Zbl 0526.35066
Phillips, Ralph S.
5
1984
Integration in a convex linear topological space. JFM 66.0226.01
Phillips, R. S.
5
1940
On the scattering frequencies of the Laplace operator for exterior domains. Zbl 0226.35077
Lax, Peter D.; Phillips, Ralph S.
5
1972
On the spectrum of the Hecke groups. Zbl 0564.30030
Phillips, R. S.; Sarnak, P.
4
1985
Translation representations for the solution of the non-euclidean wave equation. II. Zbl 0446.35004
Lax, Peter D.; Phillips, Ralph S.
4
1981
On the integration of the diffusion equation with boundary conditions. Zbl 0103.31501
Phillips, R. S.
4
1961
A remark on the preceding paper of D. Ludwig and C.S. Morawetz. Zbl 0167.10103
Phillips, R. S.
4
1969
Analytic properties of the Schrödinger scattering matrix. Zbl 0193.38302
Lax, P.; Phillips, R. S.
4
1966
On the exterior problem for the reduced wave equation. Zbl 0261.35022
Phillips, Ralph S.
3
1973
Translation representation for automorphic solutions of the wave equation in non-Euclidean spaces. IV. Zbl 0796.35093
Lax, Peter D.; Phillips, Ralph S.
3
1992
Scattering theory for symmetric spaces of noncompact type. Zbl 0799.58081
Phillips, Ralph S.; Shahshahani, Mehrdad M.
3
1993
Scattering theory for the wave equation on a hyperbolic manifold. Zbl 0657.35105
Phillips, Ralph; Wiskott, Bettina; Woo, Alex
3
1987
Additive set functions and vector lattices. JFM 67.0162.02
Bochner, S.; Phillips, R. S.
3
1941
A note on ergodic theory. Zbl 0043.33202
Phillips, R. S.
3
1951
Semi-groups of operators. Zbl 0064.11201
Phillips, R. S.
3
1955
Semi-groups of contraction operators. Zbl 0206.44402
Phillips, R. S.
3
1963
A local Paley-Wiener theorem for the Radon transform of \(L_ 2\) functions in a non-Euclidean setting. Zbl 0511.58037
Lax, Peter D.; Phillips, Ralph S.
2
1982
The translation representation theorem. Zbl 0481.47027
Lax, Peter D.; Phillips, Ralph S.
2
1981
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.52007
Lax, Peter D.; Phillips, Ralph S.
2
1982
Groups of positive operators. Zbl 0072.32601
Dye, H. A.; Phillips, R. S.
2
1956
Energy decay for the neutrino equation in the exterior of a torus. Zbl 0225.35085
Phillips, Ralph; Sarason, Leonard
2
1971
The spectrum of the Laplacian for domains in hyperbolic space and limit sets of Kleinian groups. Zbl 0559.10017
Phillips, Ralph
1
1984
Perturbation theory for twisted automorphic functions. Zbl 0871.11039
Phillips, R.
1
1997
Dissolving a cusp form in the presence of multiplicities. Zbl 0924.11040
Judge, C. M.; Phillips, R. S.
1
1997
The circle problem in the hyperbolic plane. Zbl 0812.11035
Phillips, Ralph; Rudnick, Zeév
21
1994
Cusp forms for character varieties. Zbl 0804.11038
Phillips, R.; Sarnak, P.
7
1994
Scattering theory for symmetric spaces of noncompact type. Zbl 0799.58081
Phillips, Ralph S.; Shahshahani, Mehrdad M.
3
1993
Perturbation theory for the Laplacian on automorphic functions. Zbl 0743.30039
Phillips, R.; Sarnak, P.
22
1992
Automorphic spectrum and Fermi’s golden rule. Zbl 0809.30035
Phillips, R.; Sarnak, P.
6
1992
Translation representation for automorphic solutions of the wave equation in non-Euclidean spaces. IV. Zbl 0796.35093
Lax, Peter D.; Phillips, Ralph S.
3
1992
The spectrum of Fermat curves. Zbl 0751.11030
Phillips, R.; Sarnak, P.
13
1991
Hodge theory on hyperbolic manifolds. Zbl 0712.58006
Mazzeo, Rafe; Phillips, Ralph S.
23
1990
Scattering theory. Rev. ed. Zbl 0697.35004
Lax, Peter D.; Phillips, Ralph S.
71
1989
Moduli space, heights and isospectral sets of plane domains. Zbl 0677.58045
Osgood, B.; Phillips, R.; Sarnak, P.
19
1989
Ramanujan graphs. Zbl 0661.05035
Lubotzky, A.; Phillips, R.; Sarnak, P.
380
1988
Extremals of determinants of Laplacians. Zbl 0653.53022
Osgood, B.; Phillips, R.; Sarnak, P.
184
1988
Compact isospectral sets of surfaces. Zbl 0653.53021
Osgood, B.; Phillips, R.; Sarnak, P.
56
1988
Compact isospectral of plane domains. Zbl 0674.30021
Osgood, B.; Phillips, R.; Sarnak, P.
6
1988
Hecke operators and distributing points on \(S^2\). II. Zbl 0648.10034
Lubotzky, A.; Phillips, R.; Sarnak, P.
41
1987
Geodesics in homology classes. Zbl 0642.53050
Phillips, Ralph; Sarnak, Peter
34
1987
Scattering theory for the wave equation on a hyperbolic manifold. Zbl 0657.35105
Phillips, Ralph; Wiskott, Bettina; Woo, Alex
3
1987
Hecke operators and distributing points on the sphere. I. Zbl 0619.10052
Lubotzky, A.; Phillips, R.; Sarnak, P.
51
1986
On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\). Zbl 0558.10017
Phillips, R. S.; Sarnak, P.
71
1985
The Weyl theorem and the deformation of discrete groups. Zbl 0614.10027
Phillips, R. S.; Sarnak, P.
22
1985
The Laplacian for domains in hyperbolic space and limit sets of Kleinian groups. Zbl 0611.30037
Phillips, R. S.; Sarnak, P.
21
1985
Maass cusp forms. Zbl 0566.10017
Deshouillers, J.-M.; Iwaniec, H.; Phillips, R. S.; Sarnak, P.
16
1985
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033
Lax, Peter D.; Phillips, Ralph S.
9
1985
On the spectrum of the Hecke groups. Zbl 0564.30030
Phillips, R. S.; Sarnak, P.
4
1985
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces; the case of finite volume. Zbl 0576.30037
Lax, Peter D.; Phillips, Ralph S.
1
1985
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. I. Zbl 0544.10024
Lax, Peter D.; Phillips, Ralph S.
20
1984
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. II. Zbl 0549.10019
Lax, Peter D.; Phillips, Ralph S.
8
1984
Scattering theory for the wave equation with a short range perturbation. II. Zbl 0526.35066
Phillips, Ralph S.
5
1984
The spectrum of the Laplacian for domains in hyperbolic space and limit sets of Kleinian groups. Zbl 0559.10017
Phillips, Ralph
1
1984
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036
Lax, Peter D.; Phillips, Ralph S.
92
1982
Scattering theory for the wave equation with a short range perturbation. Zbl 0465.35073
Phillips, Ralph S.
10
1982
A local Paley-Wiener theorem for the Radon transform of \(L_ 2\) functions in a non-Euclidean setting. Zbl 0511.58037
Lax, Peter D.; Phillips, Ralph S.
2
1982
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.52007
Lax, Peter D.; Phillips, Ralph S.
2
1982
Translation representations for the solution of the non-euclidean wave equation. II. Zbl 0446.35004
Lax, Peter D.; Phillips, Ralph S.
4
1981
The translation representation theorem. Zbl 0481.47027
Lax, Peter D.; Phillips, Ralph S.
2
1981
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0467.10037
Lax, Peter D.; Phillips, Ralph S.
1
1981
Scattering theory for automorphic functions. Zbl 0442.10018
Lax, Peter D.; Phillips, Ralph S.
15
1980
Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065
Lax, Peter D.; Phillips, Ralph S.
16
1979
An example of Huygens’ principle. Zbl 0362.35052
Lax, Peter D.; Phillips, Ralph S.
9
1978
The time delay operator and a related trace formula. Zbl 0463.47006
Lax, Peter D.; Phillips, Ralph S.
7
1978
The scattering of sound waves by an obstacle. Zbl 0335.35075
Lax, Peter D.; Phillips, Ralph S.
17
1977
Scattering theory for automorphic functions. Zbl 0362.10022
Lax, Peter D.; Phillips, Ralph S.
102
1976
Classical analysis and functional analysis: selected papers. Ed. by Robert R. Kallman. Zbl 0558.46002
Hille, Einar
5
1975
Functional analysis and semi-groups. 3rd printing of rev. ed. of 1957. Zbl 0392.46001
Hille, Einar; Phillips, Ralph S.
66
1974
A scattering theory for automorphic functions. Zbl 0297.35061
Lax, P. D.; Phillips, R. S.
12
1974
Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069
Lax, P. D.; Phillips, R. S.
38
1973
On the exterior problem for the reduced wave equation. Zbl 0261.35022
Phillips, Ralph S.
3
1973
Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036
Lax, P. D.; Phillips, R. S.
38
1972
On the scattering frequencies of the Laplace operator for exterior domains. Zbl 0226.35077
Lax, Peter D.; Phillips, Ralph S.
5
1972
A logarithmic bound on the location of the poles of the scattering matrix. Zbl 0216.13002
Lax, P. D.; Phillips, R. S.
15
1971
Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802
Lax, P. D.; Phillips, R. S.
12
1971
Scattering theory. Zbl 0225.35081
Lax, Peter D.; Phillips, Ralph S.
11
1971
Energy decay for the neutrino equation in the exterior of a torus. Zbl 0225.35085
Phillips, Ralph; Sarason, Leonard
2
1971
The Paley-Wiener theorem for the Radon transform. Zbl 0189.14803
Lax, Peter D.; Phillips, R. S.
19
1970
A minimax characterization for the eigenvalues of a positive symmetric operator in a space with an indefinite metric. Zbl 0203.13703
Phillips, R. S.
9
1970
Decaying modes for the wave equation in the exterior of an obstacle. Zbl 0181.38201
Lax, Peter D.; Phillips, R. S.
33
1969
On dissipative operators. Zbl 0181.15301
Phillips, R. S.
12
1969
A remark on the preceding paper of D. Ludwig and C.S. Morawetz. Zbl 0167.10103
Phillips, R. S.
4
1969
Elliptic-parabolic equations of the second order. Zbl 0163.34402
Phillips, R. S.; Sarason, L.
23
1968
On symplectic mappings of contraction operators. Zbl 0167.13501
Phillips, R. S.
15
1968
On the extension problem for dissipative operators. Zbl 0167.13404
Crandall, M. G.; Phillips, R. S.
14
1968
Scattering theory for transport phenomena. Zbl 0214.12002
Lax, P. D.; Phillips, R. S.
211
1967
Scattering theory. Zbl 0186.16301
Lax, Peter D.; Phillips, Ralph S.
108
1967
The acoustic equation with an indefinite energy form and the Schrödinger equation. Zbl 0186.16401
Lax, P. D.; Phillips, R. S.
12
1967
On matrices whose real linear combinations are nonsingular. Zbl 0168.02404
Adams, J. F.; Lax, P. D.; Phillips, R. S.
39
1966
Singular symmetric positive first order differential operators. Zbl 0141.28701
Phillips, R. S.; Sarason, L.
19
1966
Analytic properties of the Schrödinger scattering matrix. Zbl 0193.38302
Lax, P.; Phillips, R. S.
4
1966
The translation representation of the solution of the wave equation in free spaces. Zbl 0184.13202
Lax, P. D.; Phillips, R. S.
1
1966
Dissipative ordinary differential operators. Zbl 0135.14602
Olubummo, A.; Phillips, R. S.
1
1965
Scattering theory. Zbl 0117.09104
Lax, P. D.; Phillips, R. S.
56
1964
Exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle. Zbl 0161.08001
Lax, Peter D.; Morawetz, C. S.; Phillips, R. S.
49
1963
Semi-groups of contraction operators. Zbl 0206.44402
Phillips, R. S.
3
1963
Semi-groups of positive contraction operators. Zbl 0113.09901
Phillips, R. S.
19
1962
The wave equation in exterior domains. Zbl 0103.06401
Lax, Peter D.; Phillips, Ralph S.
14
1962
The exponential decay of solutions of the wave equation in the exterior of a star-shaped obstacle. Zbl 0108.28301
Lax, P. D.; Morawetz, C. S.; Phillips, R. S.
12
1962
Dissipative operators in a Banach space. Zbl 0101.09503
Lumer, G.; Phillips, R. S.
148
1961
The extension of dual subspaces invariant under an algebra. Zbl 0115.33003
Phillips, R. S.
10
1961
On the integration of the diffusion equation with boundary conditions. Zbl 0103.31501
Phillips, R. S.
4
1961
Local boundary conditions for dissipative symmetric linear differential operators. Zbl 0094.07502
Lax, Peter; Phillips, R. S.
176
1960
Dissipative operators and hyperbolic systems of partial differential equation. Zbl 0093.10001
Phillips, R. S.
114
1959
Dissipative operators and parabolic partial differential equation. Zbl 0093.10002
Phillips, R. S.
9
1959
On a theorem due to Sz.-Nagy. Zbl 0085.32703
Phillips, R. S.
1
1959
Functional analysis and semigroups. Rev. ed. Zbl 0078.10004
Hille, Einar; Phillips, Ralph S.
1957
Dissipative hyperbolic systems. Zbl 0081.31102
Phillips, R. S.
15
1957
Groups of positive operators. Zbl 0072.32601
Dye, H. A.; Phillips, R. S.
2
1956
The adjoint semi-group. Zbl 0064.11202
Phillips, R. S.
39
1955
Semi-groups of operators. Zbl 0064.11201
Phillips, R. S.
3
1955
An inversion formula for Laplace transforms and semi-groups of linear operators. Zbl 0059.10704
Phillips, R. S.
69
1954
A note on the abstract Cauchy problem. Zbl 0058.10603
Phillips, R. S.
16
1954
Perturbation theory for semi-groups of linear operators. Zbl 0053.08704
Phillips, R. S.
62
1953
On the generation of semigroups of linear operators. Zbl 0047.11004
Phillips, R. S.
53
1952
On one-parameter semi-groups of linear transformations. Zbl 0043.11404
Phillips, R. S.
14
1951
Spectral theory for semi-groups of linear operators. Zbl 0045.21502
Phillips, R. S.
14
1951
A note on ergodic theory. Zbl 0043.33202
Phillips, R. S.
3
1951
Bessel function approximations. Zbl 0036.04001
Phillips, R. S.; Malin, Henry
18
1950
On Fourier-Stieltjes integrals. Zbl 0039.33101
Phillips, R. S.
6
1950
On weakly compact subsets of a Banach space. Zbl 0063.06212
Phillips, R. S.
53
1943
Absolutely convergent Fourier expansions for non-commutative normed rings. Zbl 0060.27204
Bochner, Salomon; Phillips, R. S.
42
1942
...and 8 more Documents
all top 5

Cited by 3,925 Authors

38 Phillips, Ralph Saul
32 Jørgensen, Palle E. T.
31 Sarnak, Peter Clive
21 Gupta, Vijay
21 Petkov, Vesselin M.
20 Goldstein, Jerome Arthur
18 Rauch, Jeffrey B.
17 Baskakov, Anatoliĭ Grigor’evich
17 Miyadera, Isao
15 Butzer, Paul Leo
14 Allahverdiev, Bilender Paşaoğlu
14 Alon, Noga M.
14 Lasiecka, Irena
14 Lax, Peter David
14 Sgibnev, Mikhaĭl Sergeevich
13 Da Prato, Giuseppe
12 Perla Menzala, Gustavo Alberto
12 Stoyanov, Luchezar N.
11 Branson, Thomas Patrick
11 Zworski, Maciej
10 Batty, Charles J. K.
10 Bourgain, Jean
10 Choi, Junesang
10 Jorgenson, Jay Alan
10 Kontorovich, Alex V.
10 Lubotzky, Alexander
10 Oh, Hee
10 Perry, Peter A.
10 Strauss, Walter Alexander
10 Wilcox, Calvin H.
9 Kantorovitz, Shmuel
9 Linial, Nathan
9 Petridis, Yiannis N.
9 Ricker, Werner Joseph
9 Risager, Morten S.
9 Sá Barreto, Antônio
9 Schulenberger, John R.
9 Triggiani, Roberto
9 van Neerven, Jan M. A. M.
8 Arendt, Wolfgang
8 Bardos, Claude Williams
8 Bäumer, Boris
8 Brooks, James K.
8 Gamburd, Alexander
8 Kato, Tosio
8 Korotkov, Vitalii Borisovich
8 Oharu, Shinnosuke
8 Sharp, Richard W.
8 Shaw, Sen-Yen
8 Taylor, Michael Eugene
8 Uhl, J. Jerry jun.
7 Alpay, Daniel Aron
7 Bakaev, Nikolai Yu.
7 Ball, Joseph Anthony
7 Bobrowski, Adam
7 Bratteli, Ola
7 Chang, Sun-Yung Alice
7 Gohberg, Israel
7 Gustafson, Karl Edwin
7 Judge, Christopher M.
7 Kaashoek, Marinus Adriaan
7 Meerschaert, Mark Marvin
7 Mirotin, Adol’f Rubimovich
7 Naud, Frédéric
7 Parzanchevski, Ori
7 Popivanov, Nedyu Iv.
7 Prüß, Jan Wilhelm
7 Soga, Hideo
7 Sogge, Christopher D.
7 Strichartz, Robert S.
7 Tachev, Gancho T.
7 Terras, Audrey Anne
7 Trakhinin, Yuri L.
7 Zaidman, Samuel D.
7 Zelditch, Steve
6 Anantharaman, Nalini
6 Antoniou, Ioannis E.
6 Awonusika, Richard Olu
6 Baricz, Árpád
6 Berens, Hubert Anton
6 Bétermin, Laurent
6 Browder, Felix Earl
6 Chernoff, Paul R.
6 Christiansen, Tanya J.
6 Cooper, Jeffery M.
6 Davies, Edward Brian
6 Dinculeanu, Nicolae
6 Dobrakov, Ivan
6 Epstein, Charles Lawrence
6 Fan, Ky
6 Fattorini, Hector O.
6 Garofalo, Nicola
6 Gomilko, Alexandre M.
6 Görlich, Ernst
6 Helton, John William
6 Lapidus, Michel L.
6 Lazebnik, Felix
6 Liu, Hongyu
6 Metcalfe, Jason L.
6 Mohar, Bojan
...and 3,825 more Authors
all top 5

Cited in 528 Serials

193 Transactions of the American Mathematical Society
190 Proceedings of the American Mathematical Society
189 Journal of Mathematical Analysis and Applications
169 Journal of Functional Analysis
99 Mathematische Annalen
93 Communications in Mathematical Physics
81 Journal of Differential Equations
69 Mathematische Zeitschrift
66 Archive for Rational Mechanics and Analysis
63 Duke Mathematical Journal
63 Bulletin of the American Mathematical Society
56 Siberian Mathematical Journal
54 Semigroup Forum
51 Integral Equations and Operator Theory
46 Advances in Mathematics
41 Israel Journal of Mathematics
41 Annales de l’Institut Fourier
40 Mathematical Notes
40 Ukrainian Mathematical Journal
40 Communications in Partial Differential Equations
37 Linear Algebra and its Applications
34 Archiv der Mathematik
34 Tohoku Mathematical Journal. Second Series
32 Journal of Mathematical Physics
31 Publications of the Research Institute for Mathematical Sciences, Kyoto University
30 Annali di Matematica Pura ed Applicata. Serie Quarta
29 Journal d’Analyse Mathématique
28 Functional Analysis and its Applications
28 Journal of Mathematical Sciences (New York)
27 Rendiconti del Seminario Matematico della Università di Padova
26 Proceedings of the Japan Academy
24 Inventiones Mathematicae
24 Bulletin of the American Mathematical Society. New Series
22 Acta Mathematica
22 Combinatorica
20 Results in Mathematics
20 Geometric and Functional Analysis. GAFA
19 Computers & Mathematics with Applications
19 Journal of Soviet Mathematics
19 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
19 Journal of Evolution Equations
19 Complex Analysis and Operator Theory
18 Applied Mathematics and Optimization
18 Journal of Combinatorial Theory. Series B
17 The Journal of Geometric Analysis
17 Nonlinear Analysis. Theory, Methods & Applications
16 Journal of Number Theory
15 Mathematical Methods in the Applied Sciences
15 Annales de l’Institut Henri Poincaré. Physique Théorique
15 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
14 Discrete Mathematics
14 Journal of Statistical Physics
14 Rocky Mountain Journal of Mathematics
14 Czechoslovak Mathematical Journal
14 Mathematische Nachrichten
14 Acta Applicandae Mathematicae
13 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
13 Applied Mathematics and Computation
13 Monatshefte für Mathematik
13 Proceedings of the Japan Academy. Series A
13 Theoretical Computer Science
13 European Journal of Combinatorics
13 Systems & Control Letters
12 Mathematics of Computation
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Numerische Mathematik
11 Bulletin of the Australian Mathematical Society
11 Communications on Pure and Applied Mathematics
11 International Journal of Theoretical Physics
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Compositio Mathematica
11 Manuscripta Mathematica
11 Probability Theory and Related Fields
11 SIAM Journal on Mathematical Analysis
11 Indagationes Mathematicae. New Series
11 Potential Analysis
10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
10 Journal of Computational and Applied Mathematics
10 Mathematical Systems Theory
10 Journal of the American Mathematical Society
10 Aequationes Mathematicae
10 Russian Mathematics
10 Abstract and Applied Analysis
10 Differential Equations
10 Journal of Hyperbolic Differential Equations
10 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
9 Applicable Analysis
9 Letters in Mathematical Physics
9 Journal of Approximation Theory
9 Rendiconti del Circolo Matemàtico di Palermo. Serie II
9 Ergodic Theory and Dynamical Systems
9 Combinatorics, Probability and Computing
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
9 Mediterranean Journal of Mathematics
8 Discrete Applied Mathematics
8 Lithuanian Mathematical Journal
8 Reports on Mathematical Physics
8 Theoretical and Mathematical Physics
8 Arkiv för Matematik
8 Chaos, Solitons and Fractals
...and 428 more Serials
all top 5

Cited in 61 Fields

1,111 Operator theory (47-XX)
1,005 Partial differential equations (35-XX)
517 Functional analysis (46-XX)
353 Global analysis, analysis on manifolds (58-XX)
295 Ordinary differential equations (34-XX)
283 Combinatorics (05-XX)
281 Number theory (11-XX)
265 Probability theory and stochastic processes (60-XX)
216 Quantum theory (81-XX)
155 Differential geometry (53-XX)
141 Functions of a complex variable (30-XX)
132 Measure and integration (28-XX)
128 Numerical analysis (65-XX)
126 Dynamical systems and ergodic theory (37-XX)
124 Fluid mechanics (76-XX)
118 Topological groups, Lie groups (22-XX)
115 Systems theory; control (93-XX)
106 Computer science (68-XX)
97 Approximations and expansions (41-XX)
92 Integral equations (45-XX)
91 Abstract harmonic analysis (43-XX)
85 Real functions (26-XX)
83 Statistical mechanics, structure of matter (82-XX)
70 Group theory and generalizations (20-XX)
70 Harmonic analysis on Euclidean spaces (42-XX)
63 Several complex variables and analytic spaces (32-XX)
60 Mechanics of deformable solids (74-XX)
59 Linear and multilinear algebra; matrix theory (15-XX)
58 Special functions (33-XX)
52 Optics, electromagnetic theory (78-XX)
48 Calculus of variations and optimal control; optimization (49-XX)
42 Difference and functional equations (39-XX)
40 Information and communication theory, circuits (94-XX)
39 Relativity and gravitational theory (83-XX)
34 Potential theory (31-XX)
34 Integral transforms, operational calculus (44-XX)
33 Biology and other natural sciences (92-XX)
32 Manifolds and cell complexes (57-XX)
32 Operations research, mathematical programming (90-XX)
30 Algebraic geometry (14-XX)
30 Convex and discrete geometry (52-XX)
29 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
28 General topology (54-XX)
19 Mathematical logic and foundations (03-XX)
19 Statistics (62-XX)
14 Geometry (51-XX)
14 Mechanics of particles and systems (70-XX)
13 Sequences, series, summability (40-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
10 Algebraic topology (55-XX)
9 History and biography (01-XX)
8 Nonassociative rings and algebras (17-XX)
7 Associative rings and algebras (16-XX)
6 Geophysics (86-XX)
5 General and overarching topics; collections (00-XX)
4 Field theory and polynomials (12-XX)
4 Category theory; homological algebra (18-XX)
4 \(K\)-theory (19-XX)
4 Astronomy and astrophysics (85-XX)
1 Commutative algebra (13-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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