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Evans, William Desmond

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: 168 Publications since 1966, including 11 Books and 2 Additional arXiv Preprints
Reviewing Activity: 211 Reviews
Biographic References: 3 Publications
Co-Authors: 55 Co-Authors with 128 Joint Publications
1,679 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 Computational Geometry
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 Cambridge Tracts in Mathematics
1 Journal of Mathematical Inequalities
1 Applied Mathematics & Information Sciences
1 Banach Journal of Mathematical Analysis
1 Pure and Applied Functional Analysis
1 Operator Theory: Advances and Applications
1 Universitext

Publications by Year

Citations contained in zbMATH Open

132 Publications have been cited 2,020 times in 1,471 Documents Cited by Year
Spectral theory and differential operators. Zbl 0628.47017
Edmunds, D. E.; Evans, W. D.
487
1987
The analysis and geometry of Hardy’s inequality. Zbl 1332.26005
Balinsky, Alexander A.; Evans, W. Desmond; Lewis, Roger T.
160
2015
Hardy operators, function spaces and embeddings. Zbl 1099.46002
Edmunds, David E.; Evans, W. Desmond
122
2004
Real interpolation with logarithmic functors and reiteration. Zbl 0981.46058
Evans, W. D.; Opic, B.
78
2000
Spectral theory and differential operators. Paperback ed. Zbl 0664.47014
Edmunds, D. E.; Evans, W. D.
74
1989
Real interpolation with logarithmic functors. Zbl 1041.46011
Evans, W. D.; Opic, Bohumír; Pick, Luboš
57
2002
Sobolev embeddings for generalized ridged domains. Zbl 0591.46027
Evans, W. D.; Harris, D. J.
38
1987
On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006
Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre
38
1995
Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006
Edmunds, David; Evans, Des
35
2018
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.
35
1999
Interpolation of operators on scales of generalized Lorentz-Zygmund spaces. Zbl 0865.46016
Evans, W. D.; Opic, B.; Pick, L.
30
1996
Spectral analysis of relativistic operators. Zbl 1215.81001
Balinsky, A. A.; Evans, W. D.
29
2011
Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022
Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E.
27
2011
Spectral theory and embeddings of Sobolev spaces. Zbl 0398.46031
Edmunds, D. E.; Evans, W. D.
26
1979
The spectrum of relativistic one-electron atoms according to Bethe and Salpeter. Zbl 0857.47041
Evans, William Desmond; Perry, Peter; Siedentop, Heinz
26
1996
Hardy and Rellich inequalities with remainders. Zbl 1220.47024
Evans, W. Desmond; Lewis, Roger T.
26
2007
Fractals, trees and the Neumann Laplacian. Zbl 0799.46041
Evans, W. D.; Harris, D. J.
25
1993
Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001
Edmunds, David E.; Evans, W. Desmond
24
2014
The essential self-adjointness of Schrödinger-type operators. Zbl 0326.35018
Eastham, M. S. P.; Evans, W. D.; McLeod, J. B.
23
1976
A return to the Hardy-Littlewood integral inequality. Zbl 0487.26005
Evans, W. D.; Everitt, W. N.
22
1982
Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Zbl 1055.34048
Brown, B. M.; Evans, W. D.; Plum, M.
19
2003
Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
19
1997
The approximation numbers of Hardy-type operators on trees. Zbl 1027.47041
Evans, W. D.; Harris, D. J.; Lang, J.
18
2001
On the unique self-adjoint extension of the Dirac operator and the existence of the Green matrix. Zbl 0189.41402
Evans, W. D.
17
1970
Weighted Hardy and Poincaré inequalities on trees. Zbl 0835.26010
Evans, W. D.; Harris, D. J.; Pick, L.
17
1995
Elliptic and degenerate-elliptic operators in unbounded domains. Zbl 0298.35027
Edmunds, D. E.; Evans, W. D.
16
1974
The Askey-Wilson polynomials and \(q\)-Sturm-Liouville problems. Zbl 0860.33012
Brown, B. Malcolm; Evans, W. Desmond; Ismail, Mourad E. H.
16
1996
Approximation numbers of certain Volterra integral operators. Zbl 0658.47049
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
15
1988
On the Rellich inequality with magnetic potentials. Zbl 1090.35153
Evans, W. D.; Lewis, R. T.
14
2005
Boundary conditions for general ordinary differential operators and their adjoints. Zbl 0704.34034
Evans, W. D.; Ibrahim, Sobhy E.
14
1990
Dirichlet and separation results for Schrödinger-type operators. Zbl 0397.47022
Evans, W. D.; Zettl, A.
14
1978
On the zero modes of Pauli operators. Zbl 1002.47054
Balinsky, A. A.; Evans, W. D.
14
2001
The Rellich inequality. Zbl 1350.26026
Edmunds, D. E.; Evans, W. D.
13
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.
13
1998
Smilansky’s model of irreversible quantum graphs. I: The absolutely continuous spectrum. Zbl 1064.81037
Evans, W. D.; Solomyak, M.
12
2005
On the zero modes of Weyl-Dirac operators and their multiplicity. Zbl 1043.81018
Balinsky, A. A.; Evans, W. D.
12
2002
On solutions of a differential equation which are not of integrable square. Zbl 0226.34026
Atkinson, Frederick V.; Evans, W. Desmond
11
1972
HELP inequalities for limit-circle and regular problems. Zbl 0724.34086
Evans, W. D.; Everitt, W. N.
11
1991
Interval limit-point criteria for differential expressions and their powers. Zbl 0356.34023
Evans, W. D.; Zettl, A.
11
1977
Regularly solvable extensions of non-self-adjoint ordinary differential operators. Zbl 0558.47027
Evans, W. D.
11
1984
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.
10
2001
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 deficiency indices of powers of real 2nth-order symmetric differential expressions. Zbl 0335.34007
Evans, W. D.; Zettl, A.
10
1976
Norm inequalities involving derivatives. Zbl 0409.26008
Evans, W. D.; Zettl, A.
9
1978
Lower bounds for the spectrum of ordinary differential operators. Zbl 0573.34020
Evans, W. D.; Kwong, M. K.; Zettl, A.
9
1983
On the approximation numbers of Sobolev embeddings for irregular domains. Zbl 0681.46033
Evans, W. D.; Harris, D. J.
9
1989
Some recent results on Hardy-type inequalities. Zbl 1189.26038
Balinsky, A. A.; Evans, W. D.
9
2010
On the essential self-adjointness of powers of Schrödinger-type operators. Zbl 0374.35014
Evans, W. D.
9
1977
On non-integrable square solutions of a fourth-order differential equation and the limit-2 classification. Zbl 0269.34014
Evans, W. D.
8
1973
On the extension problem for accretive differential operators. Zbl 0578.47037
Evans, W. Desmond; Knowles, Ian
8
1985
Smilansky’s model of irreversible quantum graphs. II: The point spectrum. Zbl 1083.81519
Evans, W. D.; Solomyak, M.
7
2005
On the Friedrichs extension of semi-bounded difference operators. Zbl 0813.47038
Benammar, M.; Evans, W. D.
7
1994
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
The reverse Hardy inequality with measures. Zbl 1136.26004
Evans, W. Desmond; Gogatishvili, Amiran; Opic, Bohumír
7
2008
Fractional Sobolev spaces and inequalities. Zbl 1505.46003
Edmunds, D. E.; Evans, W. D.
7
2023
Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
7
2008
Elliptic differential operators and spectral analysis. Zbl 1436.35003
Edmunds, David E.; Evans, W. Desmond
6
2018
Selfadjoint and \(m\) sectorial extensions of Sturm-Liouville operators. Zbl 1394.47030
Brown, B. M.; Evans, W. D.
6
2016
On the approximation numbers of Sobolev embeddings on singular domains and trees. Zbl 1079.46020
Evans, W. D.; Harris, D. J.; Saitō, Y.
6
2004
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
Weighted inequalities involving \(\rho\)-quasiconcave operators. Zbl 1410.26008
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
6
2018
On the decomposition method and the spectrum of the Dirac operator. Zbl 0205.43201
Evans, W. D.
5
1970
A non-self-adjoint differential operator in \(L^ 2_ \sigma[\alpha,b]\). Zbl 0198.12201
Evans, W. D.
5
1970
A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
5
2010
Non-self-adjoint operators and their essential spectra. Zbl 0529.47020
Evans, W. D.; Lewis, R. T.; Zettl, A.
5
1983
On the spectra of Schrödinger operators with a complex potential. Zbl 0438.35025
Evans, W. D.
5
1981
On an extension of Copson’s inequality for infinite series. Zbl 0754.26010
Brown, B. M.; Evans, W. D.
5
1992
On the extension problem for singular accretive differential operators. Zbl 0593.47038
Evans, W. Desmond; Knowles, Ian
5
1986
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
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
Stability of one-electron molecules in the Brown-Ravenhall model. Zbl 0940.81045
Balinsky, A. A.; Evans, W. D.
5
1999
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
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.
4
2006
Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018
Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E.
4
2006
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
Bounds for the point spectra of separated Dirac operators. Zbl 0447.34022
Evans, W. D.; Harris, B. J.
4
1981
Hardy’s inequality and curvature. Zbl 1258.46013
Balinsky, A.; Evans, W. D.; Lewis, R. T.
4
2012
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
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 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
Neumann Laplacians on domains and operators on associated trees. Zbl 1158.35349
Evans, W. D.; Saitō, Yoshimi
4
2000
Real orthogonalizing weights for Bessel polynomials. Zbl 0792.33009
Evans, W. D.; Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.
4
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.
4
1998
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
The structure of compact linear operators in Banach spaces. Zbl 1334.47026
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
3
2013
The \(\rho\)-quasiconcave functions and weighted inequalities. Zbl 1266.26037
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
3
2009
On the distribution of eigenvalues of Schrödinger operators. Zbl 0571.35022
Edmunds, D. E.; Evans, W. D.
3
1985
On limit-point and Dirichlet-type results for second-order differential expressions. Zbl 0388.34013
Evans, W. D.
3
1976
Orthogonal polynomials and extensions of Copson’s inequality. Zbl 0814.26009
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
3
1993
The computation of the Titchmarsh-Weyl \(m\)-function. Zbl 0879.34034
Brown, B. M.; Evans, W. D.
3
1997
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
Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. Zbl 0761.39007
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
3
1992
N-body Schrödinger operators with finitely many body states. Zbl 0732.35062
Evans, W. D.; Lewis, Roger T.
3
1990
Representations of linear operators between Banach spaces. Zbl 1283.47002
Edmunds, David E.; Evans, William Desmond
3
2013
Positive self-adjoint operator extensions with applications to differential operators. Zbl 07123542
Brown, B. M.; Evans, W. D.; Wood, I. G.
2
2019
Eigenfunction expansions associated with the Dirac relativistic equations. Zbl 0144.23601
Evans, W. D.
2
1966
On the J-self-adjointness of Schrödinger operators with a singular complex potential. Zbl 0413.35027
Evans, W. D.
2
1979
On the essential spectrum of second order degenerate elliptic operators. Zbl 0288.35047
Evans, W. D.
2
1974
Fractional Sobolev spaces and inequalities. Zbl 1505.46003
Edmunds, D. E.; Evans, W. D.
7
2023
Fractional inequalities of Rellich type. Zbl 1490.26018
Edmunds, David E.; Evans, W. D.; Lewis, R. T.
1
2022
Positive self-adjoint operator extensions with applications to differential operators. Zbl 07123542
Brown, B. M.; Evans, W. D.; Wood, I. G.
2
2019
Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006
Edmunds, David; Evans, Des
35
2018
Elliptic differential operators and spectral analysis. Zbl 1436.35003
Edmunds, David E.; Evans, W. Desmond
6
2018
Weighted inequalities involving \(\rho\)-quasiconcave operators. Zbl 1410.26008
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
6
2018
The Rellich inequality. Zbl 1350.26026
Edmunds, D. E.; Evans, W. D.
13
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.
160
2015
Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001
Edmunds, David E.; Evans, W. Desmond
24
2014
The structure of compact linear operators in Banach spaces. Zbl 1334.47026
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
3
2013
Representations of linear operators between Banach spaces. Zbl 1283.47002
Edmunds, David E.; Evans, William Desmond
3
2013
Some spectral properties of Rooms and Passages domains and their skeletons. Zbl 1405.47001
Brown, B. M.; Evans, W. D.; Wood, I. G.
1
2013
Hardy’s inequality and curvature. Zbl 1258.46013
Balinsky, A.; Evans, W. D.; Lewis, R. T.
4
2012
Spectral analysis of relativistic operators. Zbl 1215.81001
Balinsky, A. A.; Evans, W. D.
29
2011
Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022
Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E.
27
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.
9
2010
A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
5
2010
The \(\rho\)-quasiconcave functions and weighted inequalities. Zbl 1266.26037
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír
3
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
7
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.
7
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 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.
26
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
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.
4
2006
Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018
Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E.
4
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.
14
2005
Smilansky’s model of irreversible quantum graphs. I: The absolutely continuous spectrum. Zbl 1064.81037
Evans, W. D.; Solomyak, M.
12
2005
Smilansky’s model of irreversible quantum graphs. II: The point spectrum. Zbl 1083.81519
Evans, W. D.; Solomyak, M.
7
2005
Counting eigenvalues of biharmonic operators with magnetic fields. Zbl 1093.47019
Evans, W. D.; Lewis, R. T.
1
2005
Hardy operators, function spaces and embeddings. Zbl 1099.46002
Edmunds, David E.; Evans, W. Desmond
122
2004
On the approximation numbers of Sobolev embeddings on singular domains and trees. Zbl 1079.46020
Evans, W. D.; Harris, D. J.; Saitō, Y.
6
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.
19
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
57
2002
On the zero modes of Weyl-Dirac operators and their multiplicity. Zbl 1043.81018
Balinsky, A. A.; Evans, W. D.
12
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.
18
2001
On the zero modes of Pauli operators. Zbl 1002.47054
Balinsky, A. A.; Evans, W. D.
14
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.
10
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.
78
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.
35
1999
Stability of one-electron molecules in the Brown-Ravenhall model. Zbl 0940.81045
Balinsky, A. A.; Evans, W. D.
5
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
On an inequality of Kolmogorov type for a second-order difference expression. Zbl 0939.47029
Delil, A.; Evans, W. D.
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.
13
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.
4
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.
19
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
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
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
Interpolation of operators on scales of generalized Lorentz-Zygmund spaces. Zbl 0865.46016
Evans, W. D.; Opic, B.; Pick, L.
30
1996
The spectrum of relativistic one-electron atoms according to Bethe and Salpeter. Zbl 0857.47041
Evans, William Desmond; Perry, Peter; Siedentop, Heinz
26
1996
The Askey-Wilson polynomials and \(q\)-Sturm-Liouville problems. Zbl 0860.33012
Brown, B. Malcolm; Evans, W. Desmond; Ismail, Mourad E. H.
16
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
38
1995
Weighted Hardy and Poincaré inequalities on trees. Zbl 0835.26010
Evans, W. D.; Harris, D. J.; Pick, L.
17
1995
On the Friedrichs extension of semi-bounded difference operators. Zbl 0813.47038
Benammar, M.; Evans, W. D.
7
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.
25
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.
4
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.
3
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
Geometric spectral properties of \(N\)-body Schrödinger operators. II. Zbl 0780.35070
Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi
1
1992
HELP inequalities for limit-circle and regular problems. Zbl 0724.34086
Evans, W. D.; Everitt, W. N.
11
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.
74
1989
On the approximation numbers of Sobolev embeddings for irregular domains. Zbl 0681.46033
Evans, W. D.; Harris, D. J.
9
1989
Approximation numbers of certain Volterra integral operators. Zbl 0658.47049
Edmunds, D. E.; Evans, W. D.; Harris, D. J.
15
1988
Spectral theory and differential operators. Zbl 0628.47017
Edmunds, D. E.; Evans, W. D.
487
1987
Sobolev embeddings for generalized ridged domains. Zbl 0591.46027
Evans, W. D.; Harris, D. J.
38
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
8
1985
On the distribution of eigenvalues of Schrödinger operators. Zbl 0571.35022
Edmunds, D. E.; Evans, W. D.
3
1985
...and 32 more Documents
all top 5

Cited by 1,390 Authors

50 Edmunds, David Eric
39 Evans, William Desmond
36 Cobos, Fernando
34 Gesztesy, Fritz
23 Avkhadiev, Farit Gabidinovich
23 Opic, Bohumír
22 Krejčiřík, David
21 Gogatishvili, Amiran
20 Lang, Jan
19 Fernández-Cabrera, Luz M.
19 Lam, Nguyen
19 Marcellán Español, Francisco
17 Brown, B. Malcolm
17 Ho, Kwok-Pun
17 Pick, Luboš
17 Tang, Xianhua
17 Zettl, Anton
16 Haroske, Dorothee D.
16 Tretter, Christiane
15 Siegl, Petr
15 Sun, Huaqing
15 Sun, Jiong
13 Dominguez, Oscar
13 Nguyen Tuan Duy
13 Vasil’eva, Anastasiya Andreevna
12 Martínez Martínez, Antón
11 Laptev, Ari
11 Mitrea, Marius
11 Qi, Jiangang
11 Skrzypczak, Leszek
10 Fernández-Martínez, Pedro
10 Lotoreichik, Vladimir
10 Marletta, Marco
10 Nasibullin, Ramil Gaisa’evich
9 Ahmed, Irshaad
9 Everitt, William Norrie
9 Ibrahim, Sobhy El-Sayed
9 Mihula, Zdeněk
9 Siedentop, Heinz Karl Heinrich
9 Signes, Teresa M.
9 Triebel, Hans
8 Behrndt, Jussi
8 Cianchi, Andrea
8 Doktorski, Leo R. Ya.
8 Fiorenza, Alberto
8 Hinton, Don Barker
8 Latushkin, Yuri
8 Lu, Guozhen
8 Meskhi, Alexander
8 Nichols, Roger
8 Pang, Michael M. H.
7 Besoy, Blanca F.
7 Chiappinelli, Raffaele
7 Exner, Pavel
7 Fleckinger, Jacqueline
7 Ismail, Mourad El-Houssieny
7 Jeribi, Aref
7 Kayar, Zeynep
7 Kaymakçalan, Billur
7 Kühn, Thomas
7 Lewis, Roger T.
7 Littlejohn, Lance L.
7 Mustafayev, Rza Ch.
7 Neves, Júlio Severino
7 Pinchover, Yehuda
7 Qin, Dongdong
7 Ruzhansky, Michael V.
7 Simon, Barry
7 Stuart, Charles Alexander
7 Wood, Ian Geoffrey
6 Anoop, Thazhe Veetil
6 Frank, Rupert L.
6 Gurka, Petr
6 Harris, Bernard J.
6 Ibrogimov, Orif O.
6 Kitover, Arkady K.
6 Kovařík, Hynek
6 Maz’ya, Vladimir Gilelevich
6 Melgaard, Michael
6 Michael, Isaac B.
6 Mizuta, Yoshihiro
6 Nekvinda, Aleš
6 Rohleder, Jonathan
6 Schmidt, Karl Michael
6 Shimomura, Tetsu
6 Stepanov, Vladimir Dmitrievich
5 Alziary, Bénédicte
5 Ammar, Aymen
5 Cazacu, Cristian M.
5 Cuenin, Jean-Claude
5 Fanelli, Luca
5 Faupin, Jérémy
5 Fleige, Andreas
5 Harris, Desmond John
5 Hurri-Syrjānen, Ritva
5 Lin, Xiaoyan
5 Lomakina, Elena N.
5 Plaza, Ramón G.
5 Plum, Michael
5 Robinson, Derek William
...and 1,290 more Authors
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Cited in 296 Serials

95 Journal of Mathematical Analysis and Applications
66 Journal of Functional Analysis
57 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
49 Journal of Differential Equations
41 Journal of Computational and Applied Mathematics
40 Mathematische Nachrichten
34 Journal of Approximation Theory
30 Journal of Mathematical Physics
26 Mathematische Zeitschrift
22 Integral Equations and Operator Theory
22 Proceedings of the American Mathematical Society
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
19 Zeitschrift für Analysis und ihre Anwendungen
18 Transactions of the American Mathematical Society
17 Advances in Mathematics
16 Calculus of Variations and Partial Differential Equations
14 Potential Analysis
13 Communications in Mathematical Physics
13 Linear Algebra and its Applications
13 The Journal of Fourier Analysis and Applications
13 Acta Mathematica Sinica. English Series
13 Annales Henri Poincaré
12 Journal d’Analyse Mathématique
12 Applied Mathematics and Computation
12 Mathematische Annalen
12 Revista Matemática Complutense
11 Letters in Mathematical Physics
11 Rocky Mountain Journal of Mathematics
11 Reviews in Mathematical Physics
11 Results in Mathematics
10 The Journal of Geometric Analysis
10 Mathematical Inequalities & Applications
9 Archive for Rational Mechanics and Analysis
9 SIAM Journal on Mathematical Analysis
9 Communications on Pure and Applied Analysis
9 Mediterranean Journal of Mathematics
9 Boundary Value Problems
9 Complex Analysis and Operator Theory
9 Ufimskiĭ Matematicheskiĭ Zhurnal
9 Journal of Spectral Theory
8 Siberian Mathematical Journal
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Positivity
7 Mathematical Methods in the Applied Sciences
7 Czechoslovak Mathematical Journal
7 Functional Analysis and its Applications
7 Publications of the Research Institute for Mathematical Sciences, Kyoto University
7 Russian Journal of Mathematical Physics
7 Journal of Difference Equations and Applications
7 Abstract and Applied Analysis
7 Lobachevskii Journal of Mathematics
6 Israel Journal of Mathematics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Quaestiones Mathematicae
6 Communications in Partial Differential Equations
6 Russian Mathematics
6 St. Petersburg Mathematical Journal
6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
6 Journal of Evolution Equations
6 Proceedings of the Steklov Institute of Mathematics
6 Journal of Physics A: Mathematical and Theoretical
6 Science China. Mathematics
6 Analysis and Mathematical Physics
6 Journal of Function Spaces
5 Mathematical Notes
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Arkiv för Matematik
5 Illinois Journal of Mathematics
5 Mathematika
5 Journal of Mathematical Sciences (New York)
5 Journal of Inequalities and Applications
5 Communications in Contemporary Mathematics
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Journal of Mathematical Inequalities
5 Nonlinear Analysis. Theory, Methods & Applications
4 Applicable Analysis
4 Computers & Mathematics with Applications
4 Journal of the London Mathematical Society. Second Series
4 Monatshefte für Mathematik
4 Acta Mathematica Hungarica
4 Acta Applicandae Mathematicae
4 Applied Numerical Mathematics
4 Numerical Algorithms
4 Indagationes Mathematicae. New Series
4 Bulletin des Sciences Mathématiques
4 Boletín de la Sociedad Matemática Mexicana. Third Series
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Journal of the Australian Mathematical Society
4 Advances in Difference Equations
4 Operators and Matrices
4 Journal of Pseudo-Differential Operators and Applications
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
4 Bulletin of Mathematical Sciences
3 Analysis Mathematica
3 Communications on Pure and Applied Mathematics
3 Journal of Statistical Physics
3 Nonlinearity
3 Physics Letters. A
3 Studia Mathematica
3 Ukrainian Mathematical Journal
...and 196 more Serials
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Cited in 51 Fields

555 Operator theory (47-XX)
540 Partial differential equations (35-XX)
385 Functional analysis (46-XX)
235 Ordinary differential equations (34-XX)
219 Real functions (26-XX)
175 Quantum theory (81-XX)
125 Harmonic analysis on Euclidean spaces (42-XX)
71 Global analysis, analysis on manifolds (58-XX)
54 Special functions (33-XX)
44 Difference and functional equations (39-XX)
44 Approximations and expansions (41-XX)
44 Numerical analysis (65-XX)
42 Dynamical systems and ergodic theory (37-XX)
41 Probability theory and stochastic processes (60-XX)
33 Potential theory (31-XX)
27 Calculus of variations and optimal control; optimization (49-XX)
27 Fluid mechanics (76-XX)
23 Optics, electromagnetic theory (78-XX)
22 Statistical mechanics, structure of matter (82-XX)
19 Functions of a complex variable (30-XX)
19 Differential geometry (53-XX)
18 Biology and other natural sciences (92-XX)
17 Integral equations (45-XX)
15 Measure and integration (28-XX)
13 Combinatorics (05-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
10 Mechanics of particles and systems (70-XX)
9 Computer science (68-XX)
8 Topological groups, Lie groups (22-XX)
8 Abstract harmonic analysis (43-XX)
8 Mechanics of deformable solids (74-XX)
8 Relativity and gravitational theory (83-XX)
6 Number theory (11-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Integral transforms, operational calculus (44-XX)
6 Statistics (62-XX)
5 Algebraic geometry (14-XX)
5 Information and communication theory, circuits (94-XX)
4 History and biography (01-XX)
4 Classical thermodynamics, heat transfer (80-XX)
4 Operations research, mathematical programming (90-XX)
3 Astronomy and astrophysics (85-XX)
3 Geophysics (86-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Group theory and generalizations (20-XX)
2 Algebraic topology (55-XX)
1 Associative rings and algebras (16-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)

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