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Evans, William Desmond

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Author ID: evans.william-desmond Recent zbMATH articles by "Evans, William Desmond"
Published as: Evans, W. D.; Evans, W. Desmond; Evans, William Desmond; Evans, William D.; Evans, William; Evans, V. D.; Evans, Des
Homepage: https://www.cardiff.ac.uk/people/view/98573-evans-des
External Links: MGP · ResearchGate · Math-Net.Ru
Documents Indexed: 161 Publications since 1966, including 10 Books
Reviewing Activity: 211 Reviews
Biographic References: 3 Publications
Co-Authors: 55 Co-Authors with 124 Joint Publications
1,567 Co-Co-Authors
all top 5

Serials

12 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
10 Journal of the London Mathematical Society. Second Series
9 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
6 The Quarterly Journal of Mathematics. Oxford Second Series
5 Journal of Computational and Applied Mathematics
5 Mathematische Zeitschrift
5 Proceedings of the London Mathematical Society. Third Series
5 Journal of Inequalities and Applications
5 Revista Matemática Complutense
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Bulletin of the London Mathematical Society
4 Journal of Physics A: Mathematical and General
3 Archive for Rational Mechanics and Analysis
3 Journal of Functional Analysis
3 Mathematische Nachrichten
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Springer Monographs in Mathematics
2 Communications in Mathematical Physics
2 Journal d’Analyse Mathématique
2 Studia Mathematica
2 Integral Equations and Operator Theory
2 Journal of Differential Equations
2 Mathematische Annalen
2 Transactions of the American Mathematical Society
2 The Quarterly Journal of Mathematics
2 Oxford Mathematical Monographs
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Arkiv för Matematik
1 Canadian Journal of Mathematics
1 Functional Analysis and its Applications
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 SIAM Journal on Mathematical Analysis
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Philosophical Transactions of the Royal Society of London. Series A
1 Doklady Mathematics
1 Communications in Applied Analysis
1 Journal of Graph Algorithms and Applications
1 Mathematical Inequalities & Applications
1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
1 Journal of Mathematical Inequalities
1 Applied Mathematics & Information Sciences
1 Banach Journal of Mathematical Analysis
1 Operator Theory: Advances and Applications
1 Universitext

Publications by Year

Citations contained in zbMATH Open

127 Publications have been cited 1,633 times in 1,178 Documents Cited by Year
Spectral theory and differential operators. Zbl 0628.47017
Edmunds, D. E.; Evans, W. D.
393
1987
The analysis and geometry of Hardy’s inequality. Zbl 1332.26005
Balinsky, Alexander A.; Evans, W. Desmond; Lewis, Roger T.
95
2015
Hardy operators, function spaces and embeddings. Zbl 1099.46002
Edmunds, David E.; Evans, W. Desmond
84
2004
Real interpolation with logarithmic functors and reiteration. Zbl 0981.46058
Evans, W. D.; Opic, B.
61
2000
Spectral theory and differential operators. Paperback ed. Zbl 0664.47014
Edmunds, D. E.; Evans, W. D.
59
1989
Real interpolation with logarithmic functors. Zbl 1041.46011
Evans, W. D.; Opic, Bohumír; Pick, Luboš
44
2002
On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006
Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre
35
1995
Sobolev embeddings for generalized ridged domains. Zbl 0591.46027
Evans, W. D.; Harris, D. J.
33
1987
On the spectrum of second-order differential operators with complex coefficients. Zbl 0944.34018
Brown, B. M.; McCormack, D. K. R.; Evans, W. D.; Plum, M.
29
1999
Spectral theory and embeddings of Sobolev spaces. Zbl 0398.46031
Edmunds, D. E.; Evans, W. D.
26
1979
Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001
Edmunds, David E.; Evans, W. Desmond
25
2014
Interpolation of operators on scales of generalized Lorentz-Zygmund spaces. Zbl 0865.46016
Evans, W. D.; Opic, B.; Pick, L.
24
1996
Hardy and Rellich inequalities with remainders. Zbl 1220.47024
Evans, W. Desmond; Lewis, Roger T.
24
2007
Fractals, trees and the Neumann Laplacian. Zbl 0799.46041
Evans, W. D.; Harris, D. J.
23
1993
The spectrum of relativistic one-electron atoms according to Bethe and Salpeter. Zbl 0857.47041
Evans, William Desmond; Perry, Peter; Siedentop, Heinz
23
1996
The essential self-adjointness of Schrödinger-type operators. Zbl 0326.35018
Eastham, M. S. P.; Evans, W. D.; McLeod, J. B.
23
1976
Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022
Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E.
22
2011
A return to the Hardy-Littlewood integral inequality. Zbl 0487.26005
Evans, W. D.; Everitt, W. N.
22
1982
Spectral analysis of relativistic operators. Zbl 1215.81001
Balinsky, A. A.; Evans, W. D.
20
2011
The approximation numbers of Hardy-type operators on trees. Zbl 1027.47041
Evans, W. D.; Harris, D. J.; Lang, J.
17
2001
Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
17
1997
Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Zbl 1055.34048
Brown, B. M.; Evans, W. D.; Plum, M.
17
2003
Elliptic and degenerate-elliptic operators in unbounded domains. Zbl 0298.35027
Edmunds, D. E.; Evans, W. D.
16
1974
On the unique self-adjoint extension of the Dirac operator and the existence of the Green matrix. Zbl 0189.41402
Evans, W. D.
16
1970
The Askey-Wilson polynomials and \(q\)-Sturm-Liouville problems. Zbl 0860.33012
Brown, B. Malcolm; Evans, W. Desmond; Ismail, Mourad E. H.
15
1996
Boundary conditions for general ordinary differential operators and their adjoints. Zbl 0704.34034
Evans, W. D.; Ibrahim, Sobhy E.
14
1990
Weighted Hardy and Poincaré inequalities on trees. Zbl 0835.26010
Evans, W. D.; Harris, D. J.; Pick, L.
13
1995
On the zero modes of Pauli operators. Zbl 1002.47054
Balinsky, A. A.; Evans, W. D.
13
2001
Approximation numbers of certain Volterra integral operators. Zbl 0658.47049
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
13
1988
The Rellich inequality. Zbl 1350.26026
Edmunds, D. E.; Evans, W. D.
12
2016
Two-sided estimates for the approximation numbers of Hardy-type operators in \(L^\infty\) and \(L^1\). Zbl 0912.47027
Evans, W. D.; Harris, D. J.; Lang, J.
12
1998
Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006
Edmunds, David; Evans, Des
12
2018
On the zero modes of Weyl-Dirac operators and their multiplicity. Zbl 1043.81018
Balinsky, A. A.; Evans, W. D.
11
2002
Regularly solvable extensions of non-self-adjoint ordinary differential operators. Zbl 0558.47027
Evans, W. D.
11
1984
Interval limit-point criteria for differential expressions and their powers. Zbl 0356.34023
Evans, W. D.; Zettl, A.
11
1977
On solutions of a differential equation which are not of integrable square. Zbl 0226.34026
Atkinson, Frederick V.; Evans, W. Desmond
11
1972
On the deficiency indices of powers of real 2nth-order symmetric differential expressions. Zbl 0335.34007
Evans, W. D.; Zettl, A.
10
1976
On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms. Zbl 0917.47057
Burenkov, V. I.; Evans, W. D.
10
1998
HELP inequalities for limit-circle and regular problems. Zbl 0724.34086
Evans, W. D.; Everitt, W. N.
10
1991
Lower bounds for the spectrum of ordinary differential operators. Zbl 0573.34020
Evans, W. D.; Kwong, M. K.; Zettl, A.
9
1983
On the essential self-adjointness of powers of Schrödinger-type operators. Zbl 0374.35014
Evans, W. D.
9
1977
On the Rellich inequality with magnetic potentials. Zbl 1090.35153
Evans, W. D.; Lewis, R. T.
9
2005
Smilansky’s model of irreversible quantum graphs. I: The absolutely continuous spectrum. Zbl 1064.81037
Evans, W. D.; Solomyak, M.
9
2005
Norm inequalities involving derivatives. Zbl 0409.26008
Evans, W. D.; Zettl, A.
9
1978
On the approximation numbers of Sobolev embeddings for irregular domains. Zbl 0681.46033
Evans, W. D.; Harris, D. J.
8
1989
On non-integrable square solutions of a fourth-order differential equation and the limit-2 classification. Zbl 0269.34014
Evans, W. D.
8
1973
Dirichlet and separation results for Schrödinger-type operators. Zbl 0397.47022
Evans, W. D.; Zettl, A.
8
1978
On the extension problem for accretive differential operators. Zbl 0578.47037
Evans, W. Desmond; Knowles, Ian
7
1985
On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues. Zbl 0917.47056
Balinsky, A. A.; Evans, W. D.
7
1998
Some recent results on Hardy-type inequalities. Zbl 1189.26038
Balinsky, A. A.; Evans, W. D.
7
2010
On the number of negative eigenvalues of Schrödinger operators with an Aharonov-Bohm magnetic field. Zbl 0990.81031
Balinsky, A. A.; Evans, W. D.; Lewis, R. T.
7
2001
On the Friedrichs extension of semi-bounded difference operators. Zbl 0813.47038
Benammar, M.; Evans, W. D.
6
1994
Selfadjoint and \(m\) sectorial extensions of Sturm-Liouville operators. Zbl 1394.47030
Brown, B. M.; Evans, W. D.
6
2016
Smilansky’s model of irreversible quantum graphs. II: The point spectrum. Zbl 1083.81519
Evans, W. D.; Solomyak, M.
6
2005
The reverse Hardy inequality with measures. Zbl 1136.26004
Evans, W. Desmond; Gogatishvili, Amiran; Opic, Bohumír
6
2008
Dirac-Sobolev inequalities and estimates for the zero modes of massless Dirac operators. Zbl 1152.81325
Balinsky, A.; Evans, W. D.; Saito, Y.
6
2008
On an extension of Copson’s inequality for infinite series. Zbl 0754.26010
Brown, B. M.; Evans, W. D.
5
1992
Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semiclassical limit. Zbl 0862.35097
Evans, William Desmond; Lewis, Roger T.; Siedentop, Heinz; Solovej, Jan Philip
5
1996
On the extension problem for singular accretive differential operators. Zbl 0593.47038
Evans, W. Desmond; Knowles, Ian
5
1986
Safe numerical bounds for the Titchmarsh-Weyl \(m(\lambda)\)-function. Zbl 0837.65089
Brown, B. M.; Kirby, V. G.; Evans, W. D.; Plum, M.
5
1993
On the spectra of Schrödinger operators with a complex potential. Zbl 0438.35025
Evans, W. D.
5
1981
On the decomposition method and the spectrum of the Dirac operator. Zbl 0205.43201
Evans, W. D.
5
1970
Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
5
2008
On the approximation numbers of Sobolev embeddings on singular domains and trees. Zbl 1079.46020
Evans, W. D.; Harris, D. J.; Saitō, Y.
4
2004
Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018
Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E.
4
2006
Repeated diagonalization and the numerical computation of the Titchmarsh- Weyl \(m(\lambda)\)-function. Zbl 0807.65089
Brown, B. M.; Eastham, M. S. P.; Evans, W. D.; Kirby, V. G.
4
1994
On a class of integral inequalities of Hardy-Littlewood type. Zbl 0611.26010
Evans, W. D.; Everitt, W. N.; Hayman, W. K.; Ruscheweyh, S.
4
1986
Boundary behavior of Dirichlet eigenfunction of second order elliptic operators. Zbl 0676.47030
Evans, W. D.; Harris, D. J.; Kauffman, Robert M.
4
1990
On the limit-point and strong limit-point classification of \(2n\)-th order differential expressions with wildly oscillating coefficients. Zbl 0259.34035
Brown, B. Malcolm; Evans, W. Desmond
4
1974
Orlicz and Sobolev spaces on unbounded domains. Zbl 0298.35028
Edmunds, D. E.; Evans, W. D.
4
1975
Sobolev, Hardy and CLR inequalities associated with Pauli operators in \({\mathbb R}^3\). Zbl 1002.81051
Balinsky, A. A.; Evans, W. D.; Lewis, Roger T.
4
2001
Neumann Laplacians on domains and operators on associated trees. Zbl 1158.35349
Evans, W. D.; Saitō, Yoshimi
4
2000
A non-self-adjoint differential operator in \(L^ 2_ \sigma[\alpha,b]\). Zbl 0198.12201
Evans, W. D.
4
1970
On the limit-point, limit-circle classification of a second-order differential equation with a complex coefficient. Zbl 0229.34023
Evans, W. D.
4
1971
Hardy’s inequality and curvature. Zbl 1258.46013
Balinsky, A.; Evans, W. D.; Lewis, R. T.
4
2012
Stability of one-electron molecules in the Brown-Ravenhall model. Zbl 0940.81045
Balinsky, A. A.; Evans, W. D.
4
1999
Elliptic differential operators and spectral analysis. Zbl 1436.35003
Edmunds, David E.; Evans, W. Desmond
4
2018
Real orthogonalizing weights for Bessel polynomials. Zbl 0792.33009
Evans, W. D.; Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.
3
1993
Orthogonal polynomials and extensions of Copson’s inequality. Zbl 0814.26009
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
3
1993
Weighted Hardy-type inequalities for differences and the extension problem for spaces with generalized smoothness. Zbl 0922.46033
Burenkov, V. I.; Evans, W. D.
3
1998
On the distribution of eigenvalues of Schrödinger operators. Zbl 0571.35022
Edmunds, D. E.; Evans, W. D.
3
1985
Bar \(k\)-visibility graphs: Bounds on the number of edges, chromatic number, and thickness. Zbl 1171.68601
Dean, Alice M.; Evans, William; Gethner, Ellen; Laison, Joshua D.; Safari, Mohammad Ali; Trotter, William T.
3
2006
The computation of the Titchmarsh-Weyl \(m\)-function. Zbl 0879.34034
Brown, B. M.; Evans, W. D.
3
1997
A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
3
2010
On limit-point and Dirichlet-type results for second-order differential expressions. Zbl 0388.34013
Evans, W. D.
3
1976
N-body Schrödinger operators with finitely many body states. Zbl 0732.35062
Evans, W. D.; Lewis, Roger T.
3
1990
On inequalities of Hardy-Sobolev type. Zbl 1158.46022
Balinsky, A.; Evans, W. D.; Hundertmark, D; Lewis, R. T.
3
2008
Sharp estimates of the embedding constants for Besov spaces \(b^s_{p,q}\), \(0<p<1\). Zbl 1137.46019
Edmunds, David E.; Evans, W. Desmond; Karadzhov, Gyorgi E.
3
2007
Weighted inequalities involving \(\rho\)-quasiconcave operators. Zbl 1410.26008
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
3
2018
Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. Zbl 0761.39007
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
2
1992
The Agmon spectral function for molecular Hamiltonians with symmetry restrictions. Zbl 0804.35028
Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi
2
1993
HELP integral and series inequalities. Zbl 0764.26010
Brown, B. M.; Evans, W. D.; Everitt, W. N.
2
1992
On an inequality of Hardy-Littlewood type. I. Zbl 0587.26012
Evans, W. D.; Everitt, W. N.
2
1985
On the essential spectrum of second order degenerate elliptic operators. Zbl 0288.35047
Evans, W. D.
2
1974
Zero modes of Pauli and Weyl-Dirac operators. Zbl 1044.35066
Balinsky, A. A.; Evans, W. D.
2
2003
Inequalities associated with magnetic fields. Zbl 1067.26011
Bennewitz, C.; Evans, W. D.
2
2004
On weighted Hardy and Poincaré-type inequalities for differences. Zbl 0886.26013
Burenkov, V. I.; Evans, W. D.; Goldman, M. L.
2
1997
Two integral inequalities. Zbl 0882.26009
Brown, B. M.; Evans, W. D.; Everitt, W. N.; Kirby, V. G.
2
1994
A catalogue of HELP and HELP-type integral and series inequalities. Zbl 0898.26005
Benammar, M.; Bennewitz, C.; Beynon, M. J.; Brown, B. M.; Dias, N. G. J.; Evans, W. D.; Everitt, W. N.; Kirby, V. G.; Littlejohn, L. L.
2
1998
On the spectra of non-self-adjoint realisations of second-order elliptic operators. Zbl 0484.35060
Evans, W. D.
2
1981
Positive self-adjoint operator extensions with applications to differential operators. Zbl 07123542
Brown, B. M.; Evans, W. D.; Wood, I. G.
1
2019
Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006
Edmunds, David; Evans, Des
12
2018
Elliptic differential operators and spectral analysis. Zbl 1436.35003
Edmunds, David E.; Evans, W. Desmond
4
2018
Weighted inequalities involving \(\rho\)-quasiconcave operators. Zbl 1410.26008
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
3
2018
The Rellich inequality. Zbl 1350.26026
Edmunds, D. E.; Evans, W. D.
12
2016
Selfadjoint and \(m\) sectorial extensions of Sturm-Liouville operators. Zbl 1394.47030
Brown, B. M.; Evans, W. D.
6
2016
The analysis and geometry of Hardy’s inequality. Zbl 1332.26005
Balinsky, Alexander A.; Evans, W. Desmond; Lewis, Roger T.
95
2015
Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001
Edmunds, David E.; Evans, W. Desmond
25
2014
The structure of compact linear operators in Banach spaces. Zbl 1334.47026
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
1
2013
Representations of linear operators between Banach spaces. Zbl 1283.47002
Edmunds, David E.; Evans, William Desmond
1
2013
Hardy’s inequality and curvature. Zbl 1258.46013
Balinsky, A.; Evans, W. D.; Lewis, R. T.
4
2012
Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022
Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E.
22
2011
Spectral analysis of relativistic operators. Zbl 1215.81001
Balinsky, A. A.; Evans, W. D.
20
2011
The Dirac-Hardy and Dirac-Sobolev inequalities in \(L^1\). Zbl 1227.35248
Balinsky, Alexander; Evans, W. Desmond; Umeda, Tomio
1
2011
Some recent results on Hardy-type inequalities. Zbl 1189.26038
Balinsky, A. A.; Evans, W. D.
7
2010
A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
3
2010
The \(\rho\)-quasiconcave functions and weighted inequalities. Zbl 1266.26037
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
2
2009
Recent results on Hardy and Rellich inequalities. Zbl 1200.26024
Evans, W. D.
1
2009
The reverse Hardy inequality with measures. Zbl 1136.26004
Evans, W. Desmond; Gogatishvili, Amiran; Opic, Bohumír
6
2008
Dirac-Sobolev inequalities and estimates for the zero modes of massless Dirac operators. Zbl 1152.81325
Balinsky, A.; Evans, W. D.; Saito, Y.
6
2008
Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
5
2008
On inequalities of Hardy-Sobolev type. Zbl 1158.46022
Balinsky, A.; Evans, W. D.; Hundertmark, D; Lewis, R. T.
3
2008
Hardy and Rellich inequalities with remainders. Zbl 1220.47024
Evans, W. Desmond; Lewis, Roger T.
24
2007
Sharp estimates of the embedding constants for Besov spaces \(b^s_{p,q}\), \(0<p<1\). Zbl 1137.46019
Edmunds, David E.; Evans, W. Desmond; Karadzhov, Gyorgi E.
3
2007
Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018
Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E.
4
2006
Bar \(k\)-visibility graphs: Bounds on the number of edges, chromatic number, and thickness. Zbl 1171.68601
Dean, Alice M.; Evans, William; Gethner, Ellen; Laison, Joshua D.; Safari, Mohammad Ali; Trotter, William T.
3
2006
Spectral problems on arbitrary open subsets of \(\mathbb R^n\) involving the distance to the boundary. Zbl 1110.46022
Edmunds, D. E.; Evans, W. D.
1
2006
On the Rellich inequality with magnetic potentials. Zbl 1090.35153
Evans, W. D.; Lewis, R. T.
9
2005
Smilansky’s model of irreversible quantum graphs. I: The absolutely continuous spectrum. Zbl 1064.81037
Evans, W. D.; Solomyak, M.
9
2005
Smilansky’s model of irreversible quantum graphs. II: The point spectrum. Zbl 1083.81519
Evans, W. D.; Solomyak, M.
6
2005
Hardy operators, function spaces and embeddings. Zbl 1099.46002
Edmunds, David E.; Evans, W. Desmond
84
2004
On the approximation numbers of Sobolev embeddings on singular domains and trees. Zbl 1079.46020
Evans, W. D.; Harris, D. J.; Saitō, Y.
4
2004
Inequalities associated with magnetic fields. Zbl 1067.26011
Bennewitz, C.; Evans, W. D.
2
2004
Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Zbl 1055.34048
Brown, B. M.; Evans, W. D.; Plum, M.
17
2003
Zero modes of Pauli and Weyl-Dirac operators. Zbl 1044.35066
Balinsky, A. A.; Evans, W. D.
2
2003
Real interpolation with logarithmic functors. Zbl 1041.46011
Evans, W. D.; Opic, Bohumír; Pick, Luboš
44
2002
On the zero modes of Weyl-Dirac operators and their multiplicity. Zbl 1043.81018
Balinsky, A. A.; Evans, W. D.
11
2002
On the spectral properties of the Brown-Ravenhall operator. Zbl 1029.47053
Balinsky, A. A.; Evans, W. D.
1
2002
The approximation numbers of Hardy-type operators on trees. Zbl 1027.47041
Evans, W. D.; Harris, D. J.; Lang, J.
17
2001
On the zero modes of Pauli operators. Zbl 1002.47054
Balinsky, A. A.; Evans, W. D.
13
2001
On the number of negative eigenvalues of Schrödinger operators with an Aharonov-Bohm magnetic field. Zbl 0990.81031
Balinsky, A. A.; Evans, W. D.; Lewis, R. T.
7
2001
Sobolev, Hardy and CLR inequalities associated with Pauli operators in \({\mathbb R}^3\). Zbl 1002.81051
Balinsky, A. A.; Evans, W. D.; Lewis, Roger T.
4
2001
Real interpolation with logarithmic functors and reiteration. Zbl 0981.46058
Evans, W. D.; Opic, B.
61
2000
Neumann Laplacians on domains and operators on associated trees. Zbl 1158.35349
Evans, W. D.; Saitō, Yoshimi
4
2000
On the spectrum of second-order differential operators with complex coefficients. Zbl 0944.34018
Brown, B. M.; McCormack, D. K. R.; Evans, W. D.; Plum, M.
29
1999
Stability of one-electron molecules in the Brown-Ravenhall model. Zbl 0940.81045
Balinsky, A. A.; Evans, W. D.
4
1999
On an inequality of Kolmogorov type for a second-order difference expression. Zbl 0939.47029
Delil, A.; Evans, W. D.
1
1999
Eigenvalue estimates in the semi-classical limit for Pauli and Dirac operators with a magnetic field. Zbl 0934.35141
Evans, W. D.; Lewis, Roger T.
1
1999
The HELP inequality for Hamiltonian systems. Zbl 1088.34538
Brown, B. M.; Evans, W. D.; Marletta, M.
1
1999
Two-sided estimates for the approximation numbers of Hardy-type operators in \(L^\infty\) and \(L^1\). Zbl 0912.47027
Evans, W. D.; Harris, D. J.; Lang, J.
12
1998
On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms. Zbl 0917.47057
Burenkov, V. I.; Evans, W. D.
10
1998
On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues. Zbl 0917.47056
Balinsky, A. A.; Evans, W. D.
7
1998
Weighted Hardy-type inequalities for differences and the extension problem for spaces with generalized smoothness. Zbl 0922.46033
Burenkov, V. I.; Evans, W. D.
3
1998
A catalogue of HELP and HELP-type integral and series inequalities. Zbl 0898.26005
Benammar, M.; Bennewitz, C.; Beynon, M. J.; Brown, B. M.; Dias, N. G. J.; Evans, W. D.; Everitt, W. N.; Kirby, V. G.; Littlejohn, L. L.
2
1998
Five integral inequalities; an inheritance from Hardy and Littlewood. Zbl 0909.26007
Evans, W. D.; Everitt, W. N.; Hayman, W. K.; Jones, D. S.
1
1998
Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
17
1997
The computation of the Titchmarsh-Weyl \(m\)-function. Zbl 0879.34034
Brown, B. M.; Evans, W. D.
3
1997
On weighted Hardy and Poincaré-type inequalities for differences. Zbl 0886.26013
Burenkov, V. I.; Evans, W. D.; Goldman, M. L.
2
1997
Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix. Zbl 0883.34026
Brown, B. M.; Eastham, M. S. P.; McCormack, D. K. R.; Evans, W. D.
1
1997
The weight Hardy inequality for differences and the complete continuity of the embedding of Sobolev spaces for domains with arbitrary strong degeneracy. Zbl 0978.46015
Burenkov, V. I.; Evans, V. D.
1
1997
Interpolation of operators on scales of generalized Lorentz-Zygmund spaces. Zbl 0865.46016
Evans, W. D.; Opic, B.; Pick, L.
24
1996
The spectrum of relativistic one-electron atoms according to Bethe and Salpeter. Zbl 0857.47041
Evans, William Desmond; Perry, Peter; Siedentop, Heinz
23
1996
The Askey-Wilson polynomials and \(q\)-Sturm-Liouville problems. Zbl 0860.33012
Brown, B. Malcolm; Evans, W. Desmond; Ismail, Mourad E. H.
15
1996
Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semiclassical limit. Zbl 0862.35097
Evans, William Desmond; Lewis, Roger T.; Siedentop, Heinz; Solovej, Jan Philip
5
1996
Computation of the \(M\) matrix for fourth-order problems. Zbl 0869.34012
Bennewitz, C.; Brown, B. M.; Evans, W. D.; McCormack, D. K. R. M.; Marletta, Marco
1
1996
On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006
Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre
35
1995
Weighted Hardy and Poincaré inequalities on trees. Zbl 0835.26010
Evans, W. D.; Harris, D. J.; Pick, L.
13
1995
On the Friedrichs extension of semi-bounded difference operators. Zbl 0813.47038
Benammar, M.; Evans, W. D.
6
1994
Repeated diagonalization and the numerical computation of the Titchmarsh- Weyl \(m(\lambda)\)-function. Zbl 0807.65089
Brown, B. M.; Eastham, M. S. P.; Evans, W. D.; Kirby, V. G.
4
1994
Two integral inequalities. Zbl 0882.26009
Brown, B. M.; Evans, W. D.; Everitt, W. N.; Kirby, V. G.
2
1994
Fractals, trees and the Neumann Laplacian. Zbl 0799.46041
Evans, W. D.; Harris, D. J.
23
1993
Safe numerical bounds for the Titchmarsh-Weyl \(m(\lambda)\)-function. Zbl 0837.65089
Brown, B. M.; Kirby, V. G.; Evans, W. D.; Plum, M.
5
1993
Real orthogonalizing weights for Bessel polynomials. Zbl 0792.33009
Evans, W. D.; Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.
3
1993
Orthogonal polynomials and extensions of Copson’s inequality. Zbl 0814.26009
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
3
1993
The Agmon spectral function for molecular Hamiltonians with symmetry restrictions. Zbl 0804.35028
Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi
2
1993
On an extension of Copson’s inequality for infinite series. Zbl 0754.26010
Brown, B. M.; Evans, W. D.
5
1992
Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. Zbl 0761.39007
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
2
1992
HELP integral and series inequalities. Zbl 0764.26010
Brown, B. M.; Evans, W. D.; Everitt, W. N.
2
1992
Zhislin’s theorem revisited. Zbl 0808.35097
Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi
1
1992
A solution to the general Bessel moment problem. Zbl 0858.33004
Evans, W. D.; Everitt, W. N.; Krall, A. M.; Kwon, K. H.; Littlejohn, L. L.
1
1992
HELP inequalities for limit-circle and regular problems. Zbl 0724.34086
Evans, W. D.; Everitt, W. N.
10
1991
Anisotropic Sobolev spaces and a quasidistance function. Zbl 0736.46020
Evans, W. D.; Rákosník, Jiří
1
1991
Some geometric spectral properties of N-body Schrödinger operators. Zbl 0727.35101
Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi
1
1991
Boundary conditions for general ordinary differential operators and their adjoints. Zbl 0704.34034
Evans, W. D.; Ibrahim, Sobhy E.
14
1990
Boundary behavior of Dirichlet eigenfunction of second order elliptic operators. Zbl 0676.47030
Evans, W. D.; Harris, D. J.; Kauffman, Robert M.
4
1990
N-body Schrödinger operators with finitely many body states. Zbl 0732.35062
Evans, W. D.; Lewis, Roger T.
3
1990
Spectral theory and differential operators. Paperback ed. Zbl 0664.47014
Edmunds, D. E.; Evans, W. D.
59
1989
On the approximation numbers of Sobolev embeddings for irregular domains. Zbl 0681.46033
Evans, W. D.; Harris, D. J.
8
1989
Approximation numbers of certain Volterra integral operators. Zbl 0658.47049
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
13
1988
Spectral theory and differential operators. Zbl 0628.47017
Edmunds, D. E.; Evans, W. D.
393
1987
Sobolev embeddings for generalized ridged domains. Zbl 0591.46027
Evans, W. D.; Harris, D. J.
33
1987
On the extension problem for singular accretive differential operators. Zbl 0593.47038
Evans, W. Desmond; Knowles, Ian
5
1986
On a class of integral inequalities of Hardy-Littlewood type. Zbl 0611.26010
Evans, W. D.; Everitt, W. N.; Hayman, W. K.; Ruscheweyh, S.
4
1986
On the extension problem for accretive differential operators. Zbl 0578.47037
Evans, W. Desmond; Knowles, Ian
7
1985
On the distribution of eigenvalues of Schrödinger operators. Zbl 0571.35022
Edmunds, D. E.; Evans, W. D.
3
1985
On an inequality of Hardy-Littlewood type. I. Zbl 0587.26012
Evans, W. D.; Everitt, W. N.
2
1985
Regularly solvable extensions of non-self-adjoint ordinary differential operators. Zbl 0558.47027
Evans, W. D.
11
1984
Lower bounds for the spectrum of ordinary differential operators. Zbl 0573.34020
Evans, W. D.; Kwong, M. K.; Zettl, A.
9
1983
On the spectrum and the distribution of singular values of Schrödinger operators with a complex potential. Zbl 0523.35035
Edmunds, D. E.; Evans, W. D.; Fleckinger, Jacqueline
1
1983
Non-self-adjoint operators and their essential spectra. Zbl 0529.47020
Evans, W. D.; Lewis, R. T.; Zettl, A.
1
1983
...and 27 more Documents
all top 5

Cited by 1,099 Authors

45 Edmunds, David Eric
37 Evans, William Desmond
34 Cobos, Fernando
29 Gesztesy, Fritz
20 Opic, Bohumír
18 Gogatishvili, Amiran
18 Marcellán Español, Francisco
17 Zettl, Anton
16 Avkhadiev, Farit Gabidinovich
16 Brown, B. Malcolm
16 Fernández-Cabrera, Luz M.
16 Tang, Xianhua
15 Lang, Jan
15 Sun, Jiong
14 Haroske, Dorothee D.
14 Pick, Luboš
13 Krejčiřík, David
13 Tretter, Christiane
13 Vasil’eva, Anastasiya Andreevna
12 Dominguez, Oscar
12 Siegl, Petr
12 Sun, Huaqing
10 Lam, Nguyen
10 Martínez Martínez, Antón
10 Mitrea, Marius
10 Nguyen Tuan Duy
10 Skrzypczak, Leszek
9 Everitt, William Norrie
9 Ho, Kwok-Pun
9 Ibrahim, Sobhy El-Sayed
9 Qi, Jiangang
8 Ahmed, Irshaad
8 Cianchi, Andrea
8 Meskhi, Alexander
8 Nasibullin, Ramil Gaisa’evich
8 Siedentop, Heinz Karl Heinrich
8 Triebel, Hans
7 Besoy, Blanca F.
7 Chiappinelli, Raffaele
7 Fernández-Martínez, Pedro
7 Fiorenza, Alberto
7 Fleckinger, Jacqueline
7 Kühn, Thomas
7 Lewis, Roger T.
7 Littlejohn, Lance L.
7 Lotoreichik, Vladimir
7 Mihula, Zdeněk
7 Neves, Júlio Severino
7 Nichols, Roger
6 Harris, Bernard J.
6 Hinton, Don Barker
6 Ismail, Mourad El-Houssieny
6 Laptev, Ari
6 Latushkin, Yuri
6 Marletta, Marco
6 Mizuta, Yoshihiro
6 Mustafayev, Rza Ch.
6 Pinchover, Yehuda
6 Schmidt, Karl Michael
6 Shimomura, Tetsu
6 Signes, Teresa M.
6 Simon, Barry
6 Stepanov, Vladimir Dmitrievich
6 Stuart, Charles Alexander
5 Alziary, Bénédicte
5 Anoop, Thazhe Veetil
5 Behrndt, Jussi
5 Doktorski, Leo R. Ya.
5 Exner, Pavel
5 Fleige, Andreas
5 Frank, Rupert L.
5 Gurka, Petr
5 Hurri-Syrjānen, Ritva
5 Ibrogimov, Orif O.
5 Jeribi, Aref
5 Kovařík, Hynek
5 Lin, Xiaoyan
5 Maz’ya, Vladimir Gilelevich
5 Melgaard, Michael
5 Michael, Isaac B.
5 Pang, Michael M. H.
5 Qin, Dongdong
5 Robinson, Derek W.
5 Rohleder, Jonathan
5 Ruzhansky, Michael V.
5 Solomyak, Mikhaĭl Zakharovich
5 Umeda, Tomio
5 Ushakova, Elena Pavlovna
4
4 Bennewitz, Christer
4 Boulanouar, Mohamed
4 Brown, Richard Clark
4 Caso, Loredana
4 Cuenin, Jean-Claude
4 D’Ambrosio, Roberta
4 Davies, Edward Brian
4 Eastham, Michael S. P.
4 Enstedt, Mattias
4 Esteban, Maria J.
4 Fanelli, Luca
...and 999 more Authors
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Cited in 246 Serials

84 Journal of Mathematical Analysis and Applications
56 Journal of Functional Analysis
54 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
45 Journal of Differential Equations
41 Journal of Computational and Applied Mathematics
31 Journal of Approximation Theory
28 Journal of Mathematical Physics
23 Mathematische Nachrichten
22 Mathematische Zeitschrift
21 Proceedings of the American Mathematical Society
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Zeitschrift für Analysis und ihre Anwendungen
17 Transactions of the American Mathematical Society
16 Advances in Mathematics
16 Integral Equations and Operator Theory
13 Linear Algebra and its Applications
12 Applied Mathematics and Computation
12 Calculus of Variations and Partial Differential Equations
12 Revista Matemática Complutense
12 Acta Mathematica Sinica. English Series
11 Communications in Mathematical Physics
11 Journal d’Analyse Mathématique
11 Rocky Mountain Journal of Mathematics
11 Potential Analysis
10 Letters in Mathematical Physics
10 Reviews in Mathematical Physics
10 Results in Mathematics
9 Mathematische Annalen
9 The Journal of Fourier Analysis and Applications
8 Mathematical Inequalities & Applications
7 Archive for Rational Mechanics and Analysis
7 Czechoslovak Mathematical Journal
7 Functional Analysis and its Applications
7 Russian Journal of Mathematical Physics
7 Journal of Difference Equations and Applications
7 Abstract and Applied Analysis
7 Communications on Pure and Applied Analysis
7 Complex Analysis and Operator Theory
7 Ufimskiĭ Matematicheskiĭ Zhurnal
6 Israel Journal of Mathematics
6 Publications of the Research Institute for Mathematical Sciences, Kyoto University
6 Quaestiones Mathematicae
6 Siberian Mathematical Journal
6 The Journal of Geometric Analysis
6 SIAM Journal on Mathematical Analysis
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Lobachevskii Journal of Mathematics
6 Annales Henri Poincaré
6 Mediterranean Journal of Mathematics
6 Boundary Value Problems
6 Proceedings of the Steklov Institute of Mathematics
6 Journal of Function Spaces
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Arkiv för Matematik
5 Annali di Matematica Pura ed Applicata. Serie Quarta
5 Illinois Journal of Mathematics
5 Communications in Partial Differential Equations
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Positivity
5 Journal of Spectral Theory
4 Computers & Mathematics with Applications
4 Mathematical Methods in the Applied Sciences
4 Mathematical Notes
4 Mathematika
4 Acta Mathematica Hungarica
4 Acta Applicandae Mathematicae
4 Applied Numerical Mathematics
4 Indagationes Mathematicae. New Series
4 Russian Mathematics
4 Journal of Mathematical Sciences (New York)
4 St. Petersburg Mathematical Journal
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Journal of Inequalities and Applications
4 Communications in Contemporary Mathematics
4 Journal of Evolution Equations
4 Journal of the Australian Mathematical Society
4 Advances in Difference Equations
4 Science China. Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications
3 Analysis Mathematica
3 Journal of Statistical Physics
3 Studia Mathematica
3 Archiv der Mathematik
3 International Journal of Mathematics and Mathematical Sciences
3 Monatshefte für Mathematik
3 Semigroup Forum
3 Advances in Applied Mathematics
3 Revista Matemática Iberoamericana
3 Sugaku Expositions
3 Numerical Algorithms
3 Experimental Mathematics
3 Integral Transforms and Special Functions
3 Discrete and Continuous Dynamical Systems
3 Operators and Matrices
3 Eurasian Mathematical Journal
3 Analysis and Mathematical Physics
3 Bulletin of Mathematical Sciences
2 Applicable Analysis
2 Bulletin of the Australian Mathematical Society
2 Communications on Pure and Applied Mathematics
...and 146 more Serials
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Cited in 49 Fields

443 Operator theory (47-XX)
411 Partial differential equations (35-XX)
309 Functional analysis (46-XX)
195 Ordinary differential equations (34-XX)
159 Real functions (26-XX)
140 Quantum theory (81-XX)
99 Harmonic analysis on Euclidean spaces (42-XX)
52 Global analysis, analysis on manifolds (58-XX)
47 Special functions (33-XX)
40 Numerical analysis (65-XX)
37 Dynamical systems and ergodic theory (37-XX)
37 Difference and functional equations (39-XX)
37 Approximations and expansions (41-XX)
26 Potential theory (31-XX)
26 Probability theory and stochastic processes (60-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
20 Fluid mechanics (76-XX)
19 Statistical mechanics, structure of matter (82-XX)
15 Optics, electromagnetic theory (78-XX)
15 Biology and other natural sciences (92-XX)
14 Functions of a complex variable (30-XX)
13 Integral equations (45-XX)
11 Differential geometry (53-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Measure and integration (28-XX)
9 Mechanics of particles and systems (70-XX)
8 Abstract harmonic analysis (43-XX)
8 Computer science (68-XX)
8 Mechanics of deformable solids (74-XX)
6 Combinatorics (05-XX)
6 Topological groups, Lie groups (22-XX)
5 Number theory (11-XX)
5 Algebraic geometry (14-XX)
5 Integral transforms, operational calculus (44-XX)
5 Relativity and gravitational theory (83-XX)
5 Information and communication theory, circuits (94-XX)
4 Statistics (62-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Operations research, mathematical programming (90-XX)
3 History and biography (01-XX)
3 Several complex variables and analytic spaces (32-XX)
2 Group theory and generalizations (20-XX)
2 Convex and discrete geometry (52-XX)
2 Geophysics (86-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)

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