×

zbMATH — the first resource for mathematics

Phillips, Ralph Saul

Compute Distance To:
Author ID: phillips.ralph-saul Recent zbMATH articles by "Phillips, Ralph Saul"
Published as: Phillips, R.; Phillips, R. S.; Phillips, Ralph; Phillips, Ralph S.
External Links: MGP · Wikidata · GND
Documents Indexed: 124 Publications since 1940, including 6 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

104 Publications have been cited 4,920 times in 4,198 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.
344
1988
Scattering theory for transport phenomena. Zbl 0214.12002
Lax, P. D.; Phillips, R. S.
220
1967
Extremals of determinants of Laplacians. Zbl 0653.53022
Osgood, B.; Phillips, R.; Sarnak, P.
165
1988
Local boundary conditions for dissipative symmetric linear differential operators. Zbl 0094.07502
Lax, Peter; Phillips, R. S.
159
1960
Dissipative operators in a Banach space. Zbl 0101.09503
Lumer, G.; Phillips, R. S.
144
1961
Scattering theory. Zbl 0186.16301
Lax, Peter D.; Phillips, Ralph S.
115
1967
Scattering theory for automorphic functions. Zbl 0362.10022
Lax, Peter D.; Phillips, Ralph S.
109
1976
Dissipative operators and hyperbolic systems of partial differential equation. Zbl 0093.10001
Phillips, R. S.
109
1959
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0497.30036
Lax, Peter D.; Phillips, Ralph S.
89
1982
Functional analysis and semi-groups. 3rd printing of rev. ed. of 1957. Zbl 0392.46001
Hille, Einar; Phillips, Ralph S.
80
1974
Scattering theory. Rev. ed. Zbl 0697.35004
Lax, Peter D.; Phillips, Ralph S.
79
1989
On linear transformations. Zbl 0025.34202
Phillips, R. S.
78
1940
On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\). Zbl 0558.10017
Phillips, R. S.; Sarnak, P.
67
1985
An inversion formula for Laplace transforms and semi-groups of linear operators. Zbl 0059.10704
Phillips, R. S.
60
1954
Scattering theory. Zbl 0117.09104
Lax, P. D.; Phillips, R. S.
57
1964
Compact isospectral sets of surfaces. Zbl 0653.53021
Osgood, B.; Phillips, R.; Sarnak, P.
52
1988
On weakly compact subsets of a Banach space. Zbl 0063.06212
Phillips, R. S.
51
1943
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
On the generation of semigroups of linear operators. Zbl 0047.11004
Phillips, R. S.
49
1952
Hecke operators and distributing points on the sphere. I. Zbl 0619.10052
Lubotzky, A.; Phillips, R.; Sarnak, P.
46
1986
Absolutely convergent Fourier expansions for non-commutative normed rings. Zbl 0060.27204
Bochner, Salomon; Phillips, R. S.
41
1942
Scattering theory for the acoustic equation in an even number of space dimensions. Zbl 0236.35036
Lax, P. D.; Phillips, R. S.
38
1972
The adjoint semi-group. Zbl 0064.11202
Phillips, R. S.
38
1955
Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069
Lax, P. D.; Phillips, R. S.
37
1973
Hecke operators and distributing points on \(S^2\). II. Zbl 0648.10034
Lubotzky, A.; Phillips, R.; Sarnak, P.
36
1987
On matrices whose real linear combinations are nonsingular. Zbl 0168.02404
Adams, J. F.; Lax, P. D.; Phillips, R. S.
36
1966
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.
27
1940
Hodge theory on hyperbolic manifolds. Zbl 0712.58006
Mazzeo, Rafe; Phillips, Ralph S.
24
1990
Elliptic-parabolic equations of the second order. Zbl 0163.34402
Phillips, R. S.; Sarason, L.
23
1968
The Weyl theorem and the deformation of discrete groups. Zbl 0614.10027
Phillips, R. S.; Sarnak, P.
21
1985
The Laplacian for domains in hyperbolic space and limit sets of Kleinian groups. Zbl 0611.30037
Phillips, R. S.; Sarnak, P.
20
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
Additive set functions and vector lattices. Zbl 0026.00105
Bochner, Salomon; Phillips, R. S.
19
1941
The circle problem in the hyperbolic plane. Zbl 0812.11035
Phillips, Ralph; Rudnick, Zeév
18
1994
Perturbation theory for the Laplacian on automorphic functions. Zbl 0743.30039
Phillips, R.; Sarnak, P.
18
1992
The scattering of sound waves by an obstacle. Zbl 0335.35075
Lax, Peter D.; Phillips, Ralph S.
18
1977
Singular symmetric positive first order differential operators. Zbl 0141.28701
Phillips, R. S.; Sarason, L.
18
1966
Semi-groups of positive contraction operators. Zbl 0113.09901
Phillips, R. S.
18
1962
Moduli space, heights and isospectral sets of plane domains. Zbl 0677.58045
Osgood, B.; Phillips, R.; Sarnak, P.
17
1989
The Paley-Wiener theorem for the Radon transform. Zbl 0189.14803
Lax, Peter D.; Phillips, R. S.
17
1970
Translation representations for the solution of the non-Euclidean wave equation. Zbl 0425.35065
Lax, Peter D.; Phillips, Ralph S.
16
1979
Bessel function approximations. Zbl 0036.04001
Phillips, R. S.; Malin, Henry
16
1950
Maass cusp forms. Zbl 0566.10017
Deshouillers, J.-M.; Iwaniec, H.; Phillips, R. S.; Sarnak, P.
15
1985
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 symplectic mappings of contraction operators. Zbl 0167.13501
Phillips, R. S.
15
1968
The extension of dual subspaces invariant under an algebra. Zbl 0115.33003
Phillips, R. S.
15
1961
Scattering theory. Zbl 0225.35081
Lax, Peter D.; Phillips, Ralph S.
14
1971
The wave equation in exterior domains. Zbl 0103.06401
Lax, Peter D.; Phillips, Ralph S.
14
1962
A note on the abstract Cauchy problem. Zbl 0058.10603
Phillips, R. S.
14
1954
Spectral theory for semi-groups of linear operators. Zbl 0045.21502
Phillips, R. S.
14
1951
On one-parameter semi-groups of linear transformations. Zbl 0043.11404
Phillips, R. S.
14
1951
The spectrum of Fermat curves. Zbl 0751.11030
Phillips, R.; Sarnak, P.
13
1991
Scattering theory for automorphic functions. Zbl 0442.10018
Lax, Peter D.; Phillips, Ralph S.
13
1980
A scattering theory for automorphic functions. Zbl 0297.35061
Lax, P. D.; Phillips, R. S.
13
1974
On the extension problem for dissipative operators. Zbl 0167.13404
Crandall, M. G.; Phillips, R. S.
13
1968
Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802
Lax, P. D.; Phillips, R. S.
12
1971
The acoustic equation with an indefinite energy form and the Schrödinger equation. Zbl 0186.16401
Lax, P. D.; Phillips, R. S.
12
1967
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 linear transformations. JFM 66.0554.01
Phillips, R. S.
12
1940
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033
Lax, Peter D.; Phillips, Ralph S.
11
1985
An example of Huygens’ principle. Zbl 0362.35052
Lax, Peter D.; Phillips, Ralph S.
11
1978
On dissipative operators. Zbl 0181.15301
Phillips, R. S.
11
1969
Scattering theory for the wave equation with a short range perturbation. Zbl 0465.35073
Phillips, Ralph S.
10
1982
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
Dissipative operators and parabolic partial differential equation. Zbl 0093.10002
Phillips, R. S.
9
1959
On the scattering frequencies of the Laplace operator for exterior domains. Zbl 0226.35077
Lax, Peter D.; Phillips, Ralph S.
8
1972
Cusp forms for character varieties. Zbl 0804.11038
Phillips, R.; Sarnak, P.
7
1994
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. II. Zbl 0549.10019
Lax, Peter D.; Phillips, Ralph S.
7
1984
Automorphic spectrum and Fermi’s golden rule. Zbl 0809.30035
Phillips, R.; Sarnak, P.
6
1992
The time delay operator and a related trace formula. Zbl 0463.47006
Lax, Peter D.; Phillips, Ralph S.
6
1978
Analytic properties of the Schrödinger scattering matrix. Zbl 0193.38302
Lax, P.; Phillips, R. S.
6
1966
A characterization of euclidean spaces. Zbl 0024.41402
Phillips, R. S.
6
1940
Scattering theory for the wave equation with a short range perturbation. II. Zbl 0526.35066
Phillips, Ralph S.
5
1984
On Fourier-Stieltjes integrals. Zbl 0039.33101
Phillips, R. S.
5
1950
Integration in a convex linear topological space. JFM 66.0226.01
Phillips, R. S.
5
1940
Compact isospectral of plane domains. Zbl 0674.30021
Osgood, B.; Phillips, R.; Sarnak, P.
4
1988
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 exterior problem for the reduced wave equation. Zbl 0261.35022
Phillips, Ralph S.
4
1973
A remark on the preceding paper of D. Ludwig and C.S. Morawetz. Zbl 0167.10103
Phillips, R. S.
4
1969
On the integration of the diffusion equation with boundary conditions. Zbl 0103.31501
Phillips, R. S.
4
1961
Scattering theory for symmetric spaces of noncompact type. Zbl 0799.58081
Phillips, Ralph S.; Shahshahani, Mehrdad M.
3
1993
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 the wave equation on a hyperbolic manifold. Zbl 0657.35105
Phillips, Ralph; Wiskott, Bettina; Woo, Alex
3
1987
On the spectrum of the Hecke groups. Zbl 0564.30030
Phillips, R. S.; Sarnak, P.
3
1985
Semi-groups of contraction operators. Zbl 0206.44402
Phillips, R. S.
3
1963
Semi-groups of operators. Zbl 0064.11201
Phillips, R. S.
3
1955
A note on ergodic theory. Zbl 0043.33202
Phillips, R. S.
3
1951
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
Energy decay for the neutrino equation in the exterior of a torus. Zbl 0225.35085
Phillips, Ralph; Sarason, Leonard
2
1971
Groups of positive operators. Zbl 0072.32601
Dye, H. A.; Phillips, R. S.
2
1956
Dissolving a cusp form in the presence of multiplicities. Zbl 0924.11040
Judge, C. M.; Phillips, R. S.
1
1997
Perturbation theory for twisted automorphic functions. Zbl 0871.11039
Phillips, R.
1
1997
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
The spectrum of the Laplacian for domains in hyperbolic space and limit sets of Kleinian groups. Zbl 0559.10017
Phillips, Ralph
1
1984
The translation representation theorem. Zbl 0481.47027
Lax, Peter D.; Phillips, Ralph S.
1
1981
The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces. Zbl 0467.10037
Lax, Peter D.; Phillips, Ralph S.
1
1981
Dissolving a cusp form in the presence of multiplicities. Zbl 0924.11040
Judge, C. M.; Phillips, R. S.
1
1997
Perturbation theory for twisted automorphic functions. Zbl 0871.11039
Phillips, R.
1
1997
The circle problem in the hyperbolic plane. Zbl 0812.11035
Phillips, Ralph; Rudnick, Zeév
18
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.
18
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.
24
1990
Scattering theory. Rev. ed. Zbl 0697.35004
Lax, Peter D.; Phillips, Ralph S.
79
1989
Moduli space, heights and isospectral sets of plane domains. Zbl 0677.58045
Osgood, B.; Phillips, R.; Sarnak, P.
17
1989
Ramanujan graphs. Zbl 0661.05035
Lubotzky, A.; Phillips, R.; Sarnak, P.
344
1988
Extremals of determinants of Laplacians. Zbl 0653.53022
Osgood, B.; Phillips, R.; Sarnak, P.
165
1988
Compact isospectral sets of surfaces. Zbl 0653.53021
Osgood, B.; Phillips, R.; Sarnak, P.
52
1988
Compact isospectral of plane domains. Zbl 0674.30021
Osgood, B.; Phillips, R.; Sarnak, P.
4
1988
Hecke operators and distributing points on \(S^2\). II. Zbl 0648.10034
Lubotzky, A.; Phillips, R.; Sarnak, P.
36
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.
46
1986
On cusp forms for co-finite subgroups of PSL(2,\({\mathbb{R}})\). Zbl 0558.10017
Phillips, R. S.; Sarnak, P.
67
1985
The Weyl theorem and the deformation of discrete groups. Zbl 0614.10027
Phillips, R. S.; Sarnak, P.
21
1985
The Laplacian for domains in hyperbolic space and limit sets of Kleinian groups. Zbl 0611.30037
Phillips, R. S.; Sarnak, P.
20
1985
Maass cusp forms. Zbl 0566.10017
Deshouillers, J.-M.; Iwaniec, H.; Phillips, R. S.; Sarnak, P.
15
1985
Translation representations for automorphic solutions of the wave equation in non-Euclidean spaces. III. Zbl 0578.10033
Lax, Peter D.; Phillips, Ralph S.
11
1985
On the spectrum of the Hecke groups. Zbl 0564.30030
Phillips, R. S.; Sarnak, P.
3
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.
7
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.
89
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.
1
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.
13
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.
11
1978
The time delay operator and a related trace formula. Zbl 0463.47006
Lax, Peter D.; Phillips, Ralph S.
6
1978
The scattering of sound waves by an obstacle. Zbl 0335.35075
Lax, Peter D.; Phillips, Ralph S.
18
1977
Scattering theory for automorphic functions. Zbl 0362.10022
Lax, Peter D.; Phillips, Ralph S.
109
1976
Functional analysis and semi-groups. 3rd printing of rev. ed. of 1957. Zbl 0392.46001
Hille, Einar; Phillips, Ralph S.
80
1974
A scattering theory for automorphic functions. Zbl 0297.35061
Lax, P. D.; Phillips, R. S.
13
1974
Scattering theory for dissipative hyperbolic systems. Zbl 0295.35069
Lax, P. D.; Phillips, R. S.
37
1973
On the exterior problem for the reduced wave equation. Zbl 0261.35022
Phillips, Ralph S.
4
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.
8
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. Zbl 0225.35081
Lax, Peter D.; Phillips, Ralph S.
14
1971
Scattering theory. (Teoriya rasseyaniya). Zbl 0212.43802
Lax, P. D.; Phillips, R. S.
12
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.
17
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.
11
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.
13
1968
Scattering theory for transport phenomena. Zbl 0214.12002
Lax, P. D.; Phillips, R. S.
220
1967
Scattering theory. Zbl 0186.16301
Lax, Peter D.; Phillips, Ralph S.
115
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.
36
1966
Singular symmetric positive first order differential operators. Zbl 0141.28701
Phillips, R. S.; Sarason, L.
18
1966
Analytic properties of the Schrödinger scattering matrix. Zbl 0193.38302
Lax, P.; Phillips, R. S.
6
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.
57
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.
18
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.
144
1961
The extension of dual subspaces invariant under an algebra. Zbl 0115.33003
Phillips, R. S.
15
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.
159
1960
Dissipative operators and hyperbolic systems of partial differential equation. Zbl 0093.10001
Phillips, R. S.
109
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
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.
38
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.
60
1954
A note on the abstract Cauchy problem. Zbl 0058.10603
Phillips, R. S.
14
1954
On the generation of semigroups of linear operators. Zbl 0047.11004
Phillips, R. S.
49
1952
Spectral theory for semi-groups of linear operators. Zbl 0045.21502
Phillips, R. S.
14
1951
On one-parameter semi-groups of linear transformations. Zbl 0043.11404
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
16
1950
On Fourier-Stieltjes integrals. Zbl 0039.33101
Phillips, R. S.
5
1950
On weakly compact subsets of a Banach space. Zbl 0063.06212
Phillips, R. S.
51
1943
Absolutely convergent Fourier expansions for non-commutative normed rings. Zbl 0060.27204
Bochner, Salomon; Phillips, R. S.
41
1942
Additive set functions and vector lattices. Zbl 0026.00105
Bochner, Salomon; Phillips, R. S.
19
1941
On linear transformations. Zbl 0025.34202
Phillips, R. S.
78
1940
Integration in a convex linear topological space. Zbl 0022.31902
Phillips, R. S.
27
1940
...and 4 more Documents
all top 5

Cited by 4,085 Authors

37 Phillips, Ralph Saul
33 Jørgensen, Palle E. T.
31 Sarnak, Peter Clive
21 Gupta, Vijay
19 Goldstein, Jerome Arthur
18 Petkov, Vesselin M.
17 Baskakov, Anatoliĭ Grigor’evich
17 Butzer, Paul Leo
17 Rauch, Jeffrey B.
16 Lasiecka, Irena
15 Miyadera, Isao
14 Allahverdiev, Bilender Paşaoğlu
14 Lax, Peter David
13 Alon, Noga M.
13 Da Prato, Giuseppe
13 Sgibnev, Mikhaĭl Sergeevich
13 Triggiani, Roberto
12 Branson, Thomas Patrick
12 Kantorovitz, Shmuel
12 Perla Menzala, Gustavo Alberto
12 Stoyanov, Luchezar N.
12 Zworski, Maciej
11 Batty, Charles J. K.
11 Bobrowski, Adam
11 Shaw, Sen-Yen
11 van Neerven, Jan M. A. M.
10 Arendt, Wolfgang
10 Bourgain, Jean
10 Choi, Junesang
10 Kontorovich, Alex V.
10 Perry, Peter A.
10 Strauss, Walter Alexander
10 Wilcox, Calvin H.
9 Meerschaert, Mark M.
9 Oh, Hee
9 Ricker, Werner Joseph
9 Sá Barreto, Antônio
9 Salem, Hussein A. H.
9 Schulenberger, John R.
8 Alpay, Daniel Aron
8 Amann, Herbert
8 Bardos, Claude Williams
8 Bäumer, Boris
8 Brooks, James K.
8 Gamburd, Alexander
8 Harris, Lawrence A.
8 Jorgenson, Jay Alan
8 Kato, Tosio
8 Korotkov, Vitalii Borisovich
8 Linial, Nathan
8 Lubotzky, Alexander
8 Masani, Pesi Rustom
8 Reich, Simeon
8 Sharp, Richard W.
8 Sogge, Christopher D.
8 Stefanov, Plamen D.
8 Taylor, Michael Eugene
8 Tomilov, Yuri
8 Uhl, J. Jerry jun.
8 Webb, Glenn Francis
7 Bakaev, Nikolai Yu.
7 Ball, Joseph Anthony
7 Bratteli, Ola
7 Chang, Sun-Yung Alice
7 Chernoff, Paul R.
7 Christiansen, Tanya J.
7 Davies, Edward Brian
7 Gohberg, Israel
7 Gomilko, Alexandre M.
7 Jefferies, Brian R. F.
7 Judge, Christopher M.
7 Kaashoek, Marinus Adriaan
7 Metcalfe, Jason L.
7 Mirotin, Adol’f Rubimovich
7 Naud, Frédéric
7 Petridis, Yiannis N.
7 Prüß, Jan Wilhelm
7 Risager, Morten S.
7 Soga, Hideo
7 Strichartz, Robert S.
7 Tachev, Gancho T.
7 Terras, Audrey Anne
7 Zaidman, Samuel D.
7 Zelditch, Steve
6 Alzer, Horst
6 Antoniou, Ioannis E.
6 Awonusika, Richard Olu
6 Baricz, Árpád
6 Berens, Hubert Anton
6 Bingham, Nicholas Hugh
6 Brézis, Haïm
6 Browder, Felix Earl
6 Cooper, Jeffery M.
6 Curtain, Ruth Frances
6 Dinculeanu, Nicolae
6 Dobrakov, Ivan
6 ElMennaoui, Omar
6 Fan, Ky
6 Fattorini, Hector O.
6 Friedman, Avner
...and 3,985 more Authors
all top 5

Cited in 492 Serials

319 Journal of Mathematical Analysis and Applications
241 Journal of Functional Analysis
191 Transactions of the American Mathematical Society
187 Proceedings of the American Mathematical Society
117 Journal of Differential Equations
98 Mathematische Annalen
90 Communications in Mathematical Physics
67 Mathematische Zeitschrift
64 Archive for Rational Mechanics and Analysis
63 Bulletin of the American Mathematical Society
60 Duke Mathematical Journal
54 Siberian Mathematical Journal
53 Advances in Mathematics
51 Integral Equations and Operator Theory
51 Semigroup Forum
44 Linear Algebra and its Applications
43 Annali di Matematica Pura ed Applicata. Serie Quarta
40 Israel Journal of Mathematics
40 Communications in Partial Differential Equations
39 Mathematical Notes
39 Ukrainian Mathematical Journal
36 Annales de l’Institut Fourier
34 Nonlinear Analysis. Theory, Methods & Applications
33 Archiv der Mathematik
33 Tohoku Mathematical Journal. Second Series
32 Journal of Mathematical Physics
31 Publications of the Research Institute for Mathematical Sciences, Kyoto University
29 Computers & Mathematics with Applications
28 Functional Analysis and its Applications
27 Journal d’Analyse Mathématique
27 Rendiconti del Seminario Matematico della Università di Padova
26 Journal of Mathematical Sciences (New York)
26 Proceedings of the Japan Academy
24 Inventiones Mathematicae
24 Journal of Approximation Theory
24 Bulletin of the American Mathematical Society. New Series
22 Acta Mathematica
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
20 Journal of Computational and Applied Mathematics
19 Journal of Soviet Mathematics
19 Results in Mathematics
19 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
19 Geometric and Functional Analysis. GAFA
18 Combinatorica
18 Complex Analysis and Operator Theory
17 Applied Mathematics and Computation
17 Applied Mathematics and Optimization
17 Journal of Combinatorial Theory. Series B
17 Systems & Control Letters
16 Journal of Number Theory
15 Mathematical Methods in the Applied Sciences
15 Annales de l’Institut Henri Poincaré. Physique Théorique
14 Discrete Mathematics
14 Rocky Mountain Journal of Mathematics
14 Czechoslovak Mathematical Journal
14 Mathematische Nachrichten
14 Theoretical Computer Science
14 Indagationes Mathematicae. New Series
14 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
13 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
13 Journal of Multivariate Analysis
13 Monatshefte für Mathematik
13 European Journal of Combinatorics
13 Acta Applicandae Mathematicae
13 Stochastic Processes and their Applications
13 Abstract and Applied Analysis
12 Proceedings of the Japan Academy. Series A
12 Journal of Evolution Equations
11 Bulletin of the Australian Mathematical Society
11 Communications on Pure and Applied Mathematics
11 International Journal of Theoretical Physics
11 Journal of Statistical Physics
11 Mathematical Proceedings of the Cambridge Philosophical Society
11 Mathematics of Computation
11 Automatica
11 Compositio Mathematica
11 Manuscripta Mathematica
11 Numerische Mathematik
11 Probability Theory and Related Fields
11 Journal de Mathématiques Pures et Appliquées. Neuvième Série
11 Potential Analysis
10 Reports on Mathematical Physics
10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
10 Mathematical Systems Theory
10 Journal of the American Mathematical Society
10 The Journal of Geometric Analysis
10 Russian Mathematics
9 Applicable Analysis
9 Journal of Geometry and Physics
9 Aequationes Mathematicae
9 SIAM Journal on Mathematical Analysis
9 Combinatorics, Probability and Computing
9 Differential Equations
9 Journal of Hyperbolic Differential Equations
9 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
8 Discrete Applied Mathematics
8 Letters in Mathematical Physics
8 Theoretical and Mathematical Physics
8 Chaos, Solitons and Fractals
8 The Annals of Probability
...and 392 more Serials
all top 5

Cited in 61 Fields

1,233 Operator theory (47-XX)
1,000 Partial differential equations (35-XX)
568 Functional analysis (46-XX)
357 Global analysis, analysis on manifolds (58-XX)
350 Ordinary differential equations (34-XX)
300 Probability theory and stochastic processes (60-XX)
264 Number theory (11-XX)
252 Combinatorics (05-XX)
211 Quantum theory (81-XX)
151 Differential geometry (53-XX)
144 Functions of a complex variable (30-XX)
141 Measure and integration (28-XX)
141 Systems theory; control (93-XX)
134 Numerical analysis (65-XX)
129 Dynamical systems and ergodic theory (37-XX)
120 Fluid mechanics (76-XX)
115 Topological groups, Lie groups (22-XX)
106 Integral equations (45-XX)
98 Computer science (68-XX)
97 Abstract harmonic analysis (43-XX)
96 Approximations and expansions (41-XX)
87 Real functions (26-XX)
83 Statistical mechanics, structure of matter (82-XX)
71 Group theory and generalizations (20-XX)
69 Harmonic analysis on Euclidean spaces (42-XX)
66 Several complex variables and analytic spaces (32-XX)
62 Linear and multilinear algebra; matrix theory (15-XX)
60 Mechanics of deformable solids (74-XX)
54 Special functions (33-XX)
51 Optics, electromagnetic theory (78-XX)
50 Calculus of variations and optimal control; optimization (49-XX)
46 Difference and functional equations (39-XX)
42 Information and communication theory, circuits (94-XX)
38 Biology and other natural sciences (92-XX)
36 General topology (54-XX)
35 Integral transforms, operational calculus (44-XX)
35 Relativity and gravitational theory (83-XX)
32 Manifolds and cell complexes (57-XX)
31 Operations research, mathematical programming (90-XX)
28 Algebraic geometry (14-XX)
28 Convex and discrete geometry (52-XX)
28 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
27 Potential theory (31-XX)
20 Mathematical logic and foundations (03-XX)
20 Statistics (62-XX)
14 Mechanics of particles and systems (70-XX)
12 Sequences, series, summability (40-XX)
12 Geometry (51-XX)
11 Order, lattices, ordered algebraic structures (06-XX)
11 Algebraic topology (55-XX)
9 History and biography (01-XX)
8 Associative rings and algebras (16-XX)
7 Nonassociative rings and algebras (17-XX)
6 Geophysics (86-XX)
5 General and overarching topics; collections (00-XX)
5 Category theory; homological algebra (18-XX)
5 Astronomy and astrophysics (85-XX)
4 Field theory and polynomials (12-XX)
4 \(K\)-theory (19-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.