Edit Profile Evans, William Desmond Compute Distance To: Compute Author ID: evans.william-desmond Published as: Evans, D.; Evans, Des; Evans, V. D.; Evans, W. D.; Evans, W. Desmond; Evans, William; Evans, William D.; Evans, William Desmond Homepage: https://www.cardiff.ac.uk/people/view/98573-evans-des External Links: MGP · Math-Net.Ru · ResearchGate Documents Indexed: 158 Publications since 1966, including 10 Books Reviewing Activity: 211 Reviews Biographic References: 3 Publications all top 5 Co-Authors 33 single-authored 27 Edmunds, David Eric 23 Brown, B. Malcolm 20 Lewis, Roger T. 16 Harris, Desmond J. 12 Everitt, William Norrie 10 Saitō, Yoshimi 8 Zettl, Anton 6 Littlejohn, Lance L. 6 Opic, Bohumír 5 Burenkov, Viktor Ivanovich 5 Kirby, V. G. 3 Bennewitz, Christer 3 Eastham, Michael S. P. 3 Gogatishvili, Amiran 3 Karadzhov, Georgi Eremiev 3 Pick, Luboš 3 Plum, Michael 2 Atkinson, Frederick Valentine 2 Beynon, Malcolm James 2 Fleckinger, Jacqueline 2 Hayman, Walter Kurt 2 Knowles, Ian G. 2 Kwon, Kil Hyun 2 Lang, Jan 2 Marletta, Marco 2 McCormack, D. K. R. M. 2 Siedentop, Heinz Karl Heinrich 2 Solomyak, Mikhaĭl Zakharovich 2 Wood, Ian Geoffrey 1 Ahmed, Irshaad 1 Ben Ammar, Mabrouk 1 Benammar, Meryem 1 Dean, Alice M. 1 Delil, A. 1 Dias, N. G. J. 1 Gethner, Ellen 1 Gol’dman, Mikhail L’vovich 1 Harris, Bernard J. 1 Hundertmark, Dirk 1 Ibrahim, Sobhy El-Sayed 1 Ismail, Mourad El-Houssieny 1 Jones, Douglas Samuel 1 Kauffman, Robert M. 1 Krall, Allan M. 1 Kwong, Man Kam 1 Laison, Joshua Douglass 1 Marcellán Español, Francisco 1 Markett, Clemens 1 McCormack, Daniel K. R. 1 McLeod, John Bryce 1 Perry, Peter A. 1 Rákosník, Jiří 1 Ronveaux, André 1 Ruscheweyh, Stephan 1 Safari, MohammadAli 1 Schmidt, Karl Michael 1 Solovej, Jan Philip 1 Trotter, William T. jun. 1 Umeda, Tomio 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 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 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 all top 5 Fields 78 Operator theory (47-XX) 58 Partial differential equations (35-XX) 37 Real functions (26-XX) 37 Ordinary differential equations (34-XX) 31 Functional analysis (46-XX) 29 Quantum theory (81-XX) 6 Difference and functional equations (39-XX) 5 Special functions (33-XX) 5 Numerical analysis (65-XX) 4 Integral equations (45-XX) 2 Measure and integration (28-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 125 Publications have been cited 1,498 times in 1,059 Documents Cited by ▼ Year ▼ Spectral theory and differential operators. Zbl 0628.47017Edmunds, D. E.; Evans, W. D. 377 1987 Hardy operators, function spaces and embeddings. Zbl 1099.46002Edmunds, David E.; Evans, W. Desmond 89 2004 The analysis and geometry of Hardy’s inequality. Zbl 1332.26005Balinsky, Alexander A.; Evans, W. Desmond; Lewis, Roger T. 57 2015 Spectral theory and differential operators. Paperback ed. Zbl 0664.47014Edmunds, D. E.; Evans, W. D. 56 1989 Real interpolation with logarithmic functors and reiteration. Zbl 0981.46058Evans, W. D.; Opic, B. 54 2000 Real interpolation with logarithmic functors. Zbl 1041.46011Evans, W. D.; Opic, Bohumír; Pick, Luboš 37 2002 On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre 34 1995 Sobolev embeddings for generalized ridged domains. Zbl 0591.46027Evans, W. D.; Harris, D. J. 30 1987 On the spectrum of second-order differential operators with complex coefficients. Zbl 0944.34018Brown, B. M.; McCormack, D. K. R.; Evans, W. D.; Plum, M. 27 1999 Spectral theory and embeddings of Sobolev spaces. Zbl 0398.46031Edmunds, D. E.; Evans, W. D. 26 1979 Fractals, trees and the Neumann Laplacian. Zbl 0799.46041Evans, W. D.; Harris, D. J. 23 1993 Interpolation of operators on scales of generalized Lorentz-Zygmund spaces. Zbl 0865.46016Evans, W. D.; Opic, B.; Pick, L. 22 1996 The spectrum of relativistic one-electron atoms according to Bethe and Salpeter. Zbl 0857.47041Evans, William Desmond; Perry, Peter; Siedentop, Heinz 22 1996 The essential self-adjointness of Schrödinger-type operators. Zbl 0326.35018Eastham, M. S. P.; Evans, W. D.; McLeod, J. B. 22 1976 A return to the Hardy-Littlewood integral inequality. Zbl 0487.26005Evans, W. D.; Everitt, W. N. 21 1982 Hardy and Rellich inequalities with remainders. Zbl 1220.47024Evans, W. Desmond; Lewis, Roger T. 19 2007 Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001Edmunds, David E.; Evans, W. Desmond 18 2014 Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E. 17 2011 Spectral analysis of relativistic operators. Zbl 1215.81001Balinsky, A. A.; Evans, W. D. 17 2011 The approximation numbers of Hardy-type operators on trees. Zbl 1027.47041Evans, W. D.; Harris, D. J.; Lang, J. 17 2001 Two-sided estimates of the approximation numbers of certain Volterra integral operators. Zbl 0897.47043Edmunds, D. E.; Evans, W. D.; Harris, D. J. 16 1997 Elliptic and degenerate-elliptic operators in unbounded domains. Zbl 0298.35027Edmunds, 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 0189.41402Evans, W. D. 16 1970 Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Zbl 1055.34048Brown, B. M.; Evans, W. D.; Plum, M. 15 2003 The Askey-Wilson polynomials and \(q\)-Sturm-Liouville problems. Zbl 0860.33012Brown, B. Malcolm; Evans, W. Desmond; Ismail, Mourad E. H. 15 1996 Boundary conditions for general ordinary differential operators and their adjoints. Zbl 0704.34034Evans, W. D.; Ibrahim, Sobhy E. 14 1990 Weighted Hardy and Poincaré inequalities on trees. Zbl 0835.26010Evans, W. D.; Harris, D. J.; Pick, L. 13 1995 Two-sided estimates for the approximation numbers of Hardy-type operators in \(L^\infty\) and \(L^1\). Zbl 0912.47027Evans, W. D.; Harris, D. J.; Lang, J. 12 1998 Approximation numbers of certain Volterra integral operators. Zbl 0658.47049Edmunds, D. E.; Evans, W. D.; Harris, D. J. 12 1988 On the zero modes of Weyl-Dirac operators and their multiplicity. Zbl 1043.81018Balinsky, A. A.; Evans, W. D. 11 2002 On the zero modes of Pauli operators. Zbl 1002.47054Balinsky, A. A.; Evans, W. D. 11 2001 Regularly solvable extensions of non-self-adjoint ordinary differential operators. Zbl 0558.47027Evans, W. D. 11 1984 Interval limit-point criteria for differential expressions and their powers. Zbl 0356.34023Evans, W. D.; Zettl, A. 11 1977 On solutions of a differential equation which are not of integrable square. Zbl 0226.34026Atkinson, Frederick V.; Evans, W. Desmond 11 1972 On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms. Zbl 0917.47057Burenkov, V. I.; Evans, W. D. 10 1998 HELP inequalities for limit-circle and regular problems. Zbl 0724.34086Evans, W. D.; Everitt, W. N. 10 1991 On the deficiency indices of powers of real 2nth-order symmetric differential expressions. Zbl 0335.34007Evans, W. D.; Zettl, A. 10 1976 Smilansky’s model of irreversible quantum graphs. I: The absolutely continuous spectrum. Zbl 1064.81037Evans, W. D.; Solomyak, M. 9 2005 Lower bounds for the spectrum of ordinary differential operators. Zbl 0573.34020Evans, W. D.; Kwong, M. K.; Zettl, A. 9 1983 Norm inequalities involving derivatives. Zbl 0409.26008Evans, W. D.; Zettl, A. 9 1978 The Rellich inequality. Zbl 1350.26026Edmunds, D. E.; Evans, W. D. 8 2016 On the approximation numbers of Sobolev embeddings for irregular domains. Zbl 0681.46033Evans, W. D.; Harris, D. J. 8 1989 Dirichlet and separation results for Schrödinger-type operators. Zbl 0397.47022Evans, W. D.; Zettl, A. 8 1978 On the essential self-adjointness of powers of Schrödinger-type operators. Zbl 0374.35014Evans, W. D. 8 1977 On non-integrable square solutions of a fourth-order differential equation and the limit-2 classification. Zbl 0269.34014Evans, W. D. 8 1973 On the Rellich inequality with magnetic potentials. Zbl 1090.35153Evans, W. D.; Lewis, R. T. 7 2005 On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues. Zbl 0917.47056Balinsky, A. A.; Evans, W. D. 7 1998 On the extension problem for accretive differential operators. Zbl 0578.47037Evans, W. Desmond; Knowles, Ian 7 1985 Smilansky’s model of irreversible quantum graphs. II: The point spectrum. Zbl 1083.81519Evans, W. D.; Solomyak, M. 6 2005 On the number of negative eigenvalues of Schrödinger operators with an Aharonov-Bohm magnetic field. Zbl 0990.81031Balinsky, A. A.; Evans, W. D.; Lewis, R. T. 6 2001 On the Friedrichs extension of semi-bounded difference operators. Zbl 0813.47038Benammar, M.; Evans, W. D. 6 1994 Dirac-Sobolev inequalities and estimates for the zero modes of massless Dirac operators. Zbl 1152.81325Balinsky, A.; Evans, W. D.; Saito, Y. 5 2008 Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047Edmunds, D. E.; Evans, W. D.; Harris, D. J. 5 2008 The reverse Hardy inequality with measures. Zbl 1136.26004Evans, W. Desmond; Gogatishvili, Amiran; Opic, Bohumír 5 2008 Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semiclassical limit. Zbl 0862.35097Evans, William Desmond; Lewis, Roger T.; Siedentop, Heinz; Solovej, Jan Philip 5 1996 Safe numerical bounds for the Titchmarsh-Weyl \(m(\lambda)\)-function. Zbl 0837.65089Brown, B. M.; Kirby, V. G.; Evans, W. D.; Plum, M. 5 1993 On an extension of Copson’s inequality for infinite series. Zbl 0754.26010Brown, B. M.; Evans, W. D. 5 1992 On the extension problem for singular accretive differential operators. Zbl 0593.47038Evans, W. Desmond; Knowles, Ian 5 1986 On the spectra of Schrödinger operators with a complex potential. Zbl 0438.35025Evans, W. D. 5 1981 On the decomposition method and the spectrum of the Dirac operator. Zbl 0205.43201Evans, W. D. 5 1970 Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006Edmunds, David; Evans, Des 4 2018 Selfadjoint and \(m\) sectorial extensions of Sturm-Liouville operators. Zbl 1394.47030Brown, B. M.; Evans, W. D. 4 2016 Hardy’s inequality and curvature. Zbl 1258.46013Balinsky, A.; Evans, W. D.; Lewis, R. T. 4 2012 Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018Edmunds, David E.; Evans, W. Desmond; Karadzhov, Georgi E. 4 2006 On the approximation numbers of Sobolev embeddings on singular domains and trees. Zbl 1079.46020Evans, W. D.; Harris, D. J.; Saitō, Y. 4 2004 Neumann Laplacians on domains and operators on associated trees. Zbl 1158.35349Evans, W. D.; Saitō, Yoshimi 4 2000 Stability of one-electron molecules in the Brown-Ravenhall model. Zbl 0940.81045Balinsky, A. A.; Evans, W. D. 4 1999 Repeated diagonalization and the numerical computation of the Titchmarsh- Weyl \(m(\lambda)\)-function. Zbl 0807.65089Brown, B. M.; Eastham, M. S. P.; Evans, W. D.; Kirby, V. G. 4 1994 Boundary behavior of Dirichlet eigenfunction of second order elliptic operators. Zbl 0676.47030Evans, W. D.; Harris, D. J.; Kauffman, Robert M. 4 1990 On a class of integral inequalities of Hardy-Littlewood type. Zbl 0611.26010Evans, W. D.; Everitt, W. N.; Hayman, W. K.; Ruscheweyh, S. 4 1986 Orlicz and Sobolev spaces on unbounded domains. Zbl 0298.35028Edmunds, D. E.; Evans, W. D. 4 1975 On the limit-point and strong limit-point classification of \(2n\)-th order differential expressions with wildly oscillating coefficients. Zbl 0259.34035Brown, B. Malcolm; Evans, W. Desmond 4 1974 On the limit-point, limit-circle classification of a second-order differential equation with a complex coefficient. Zbl 0229.34023Evans, W. D. 4 1971 A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019Edmunds, D. E.; Evans, W. D.; Harris, D. J. 3 2010 Some recent results on Hardy-type inequalities. Zbl 1189.26038Balinsky, A. A.; Evans, W. D. 3 2010 On inequalities of Hardy-Sobolev type. Zbl 1158.46022Balinsky, 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 1137.46019Edmunds, 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 1171.68601Dean, Alice M.; Evans, William; Gethner, Ellen; Laison, Joshua D.; Safari, Mohammad Ali; Trotter, William T. 3 2006 Sobolev, Hardy and CLR inequalities associated with Pauli operators in \({\mathbb R}^3\). Zbl 1002.81051Balinsky, A. A.; Evans, W. D.; Lewis, Roger T. 3 2001 Weighted Hardy-type inequalities for differences and the extension problem for spaces with generalized smoothness. Zbl 0922.46033Burenkov, V. I.; Evans, W. D. 3 1998 The computation of the Titchmarsh-Weyl \(m\)-function. Zbl 0879.34034Brown, B. M.; Evans, W. D. 3 1997 Orthogonal polynomials and extensions of Copson’s inequality. Zbl 0814.26009Brown, B. M.; Evans, W. D.; Littlejohn, L. L. 3 1993 Real orthogonalizing weights for Bessel polynomials. Zbl 0792.33009Evans, W. D.; Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L. 3 1993 N-body Schrödinger operators with finitely many body states. Zbl 0732.35062Evans, W. D.; Lewis, Roger T. 3 1990 On the distribution of eigenvalues of Schrödinger operators. Zbl 0571.35022Edmunds, D. E.; Evans, W. D. 3 1985 On limit-point and Dirichlet-type results for second-order differential expressions. Zbl 0388.34013Evans, W. D. 3 1976 A non-self-adjoint differential operator in \(L^ 2_ \sigma[\alpha,b]\). Zbl 0198.12201Evans, W. D. 3 1970 Elliptic differential operators and spectral analysis. Zbl 1436.35003Edmunds, David E.; Evans, W. Desmond 2 2018 The \(\rho\)-quasiconcave functions and weighted inequalities. Zbl 1266.26037Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír 2 2009 Inequalities associated with magnetic fields. Zbl 1067.26011Bennewitz, C.; Evans, W. D. 2 2004 Zero modes of Pauli and Weyl-Dirac operators. Zbl 1044.35066Balinsky, A. A.; Evans, W. D. 2 2003 A catalogue of HELP and HELP-type integral and series inequalities. Zbl 0898.26005Benammar, 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 weighted Hardy and Poincaré-type inequalities for differences. Zbl 0886.26013Burenkov, V. I.; Evans, W. D.; Goldman, M. L. 2 1997 Two integral inequalities. Zbl 0882.26009Brown, B. M.; Evans, W. D.; Everitt, W. N.; Kirby, V. G. 2 1994 The Agmon spectral function for molecular Hamiltonians with symmetry restrictions. Zbl 0804.35028Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi 2 1993 HELP integral and series inequalities. Zbl 0764.26010Brown, B. M.; Evans, W. D.; Everitt, W. N. 2 1992 Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. Zbl 0761.39007Brown, B. M.; Evans, W. D.; Littlejohn, L. L. 2 1992 On an inequality of Hardy-Littlewood type. I. Zbl 0587.26012Evans, W. D.; Everitt, W. N. 2 1985 On the spectra of non-self-adjoint realisations of second-order elliptic operators. Zbl 0484.35060Evans, W. D. 2 1981 Bounds for the point spectra of separated Dirac operators. Zbl 0447.34022Evans, W. D.; Harris, B. J. 2 1981 Spectral theory and differential operators. 2nd revised edition. Zbl 1447.47006Edmunds, David; Evans, Des 4 2018 Elliptic differential operators and spectral analysis. Zbl 1436.35003Edmunds, David E.; Evans, W. Desmond 2 2018 The Rellich inequality. Zbl 1350.26026Edmunds, D. E.; Evans, W. D. 8 2016 Selfadjoint and \(m\) sectorial extensions of Sturm-Liouville operators. Zbl 1394.47030Brown, B. M.; Evans, W. D. 4 2016 The analysis and geometry of Hardy’s inequality. Zbl 1332.26005Balinsky, Alexander A.; Evans, W. Desmond; Lewis, Roger T. 57 2015 Hardy operators, function spaces and embeddings. Reprint of the 2004 hardback ed. Zbl 1286.46001Edmunds, David E.; Evans, W. Desmond 18 2014 The structure of compact linear operators in Banach spaces. Zbl 1334.47026Edmunds, D. E.; Evans, W. D.; Harris, D. J. 1 2013 Representations of linear operators between Banach spaces. Zbl 1283.47002Edmunds, David E.; Evans, William Desmond 1 2013 Hardy’s inequality and curvature. Zbl 1258.46013Balinsky, A.; Evans, W. D.; Lewis, R. T. 4 2012 Reiteration theorems for the \(K\)-interpolation method in limiting cases. Zbl 1219.46022Ahmed, I.; Edmunds, D. E.; Evans, W. D.; Karadzhov, G. E. 17 2011 Spectral analysis of relativistic operators. Zbl 1215.81001Balinsky, A. A.; Evans, W. D. 17 2011 The Dirac-Hardy and Dirac-Sobolev inequalities in \(L^1\). Zbl 1227.35248Balinsky, Alexander; Evans, W. Desmond; Umeda, Tomio 1 2011 A spectral analysis of compact linear operators in Banach spaces. Zbl 1202.47019Edmunds, D. E.; Evans, W. D.; Harris, D. J. 3 2010 Some recent results on Hardy-type inequalities. Zbl 1189.26038Balinsky, A. A.; Evans, W. D. 3 2010 The \(\rho\)-quasiconcave functions and weighted inequalities. Zbl 1266.26037Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír 2 2009 Dirac-Sobolev inequalities and estimates for the zero modes of massless Dirac operators. Zbl 1152.81325Balinsky, A.; Evans, W. D.; Saito, Y. 5 2008 Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems. Zbl 1169.47047Edmunds, D. E.; Evans, W. D.; Harris, D. J. 5 2008 The reverse Hardy inequality with measures. Zbl 1136.26004Evans, W. Desmond; Gogatishvili, Amiran; Opic, Bohumír 5 2008 On inequalities of Hardy-Sobolev type. Zbl 1158.46022Balinsky, A.; Evans, W. D.; Hundertmark, D; Lewis, R. T. 3 2008 Hardy and Rellich inequalities with remainders. Zbl 1220.47024Evans, W. Desmond; Lewis, Roger T. 19 2007 Sharp estimates of the embedding constants for Besov spaces \(b^s_{p,q}\), \(0<p<1\). Zbl 1137.46019Edmunds, David E.; Evans, W. Desmond; Karadzhov, Gyorgi E. 3 2007 Sharp estimates of the embedding constants for Besov spaces. Zbl 1122.46018Edmunds, 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 1171.68601Dean, 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 1110.46022Edmunds, D. E.; Evans, W. D. 1 2006 Smilansky’s model of irreversible quantum graphs. I: The absolutely continuous spectrum. Zbl 1064.81037Evans, W. D.; Solomyak, M. 9 2005 On the Rellich inequality with magnetic potentials. Zbl 1090.35153Evans, W. D.; Lewis, R. T. 7 2005 Smilansky’s model of irreversible quantum graphs. II: The point spectrum. Zbl 1083.81519Evans, W. D.; Solomyak, M. 6 2005 Hardy operators, function spaces and embeddings. Zbl 1099.46002Edmunds, David E.; Evans, W. Desmond 89 2004 On the approximation numbers of Sobolev embeddings on singular domains and trees. Zbl 1079.46020Evans, W. D.; Harris, D. J.; Saitō, Y. 4 2004 Inequalities associated with magnetic fields. Zbl 1067.26011Bennewitz, C.; Evans, W. D. 2 2004 Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems. Zbl 1055.34048Brown, B. M.; Evans, W. D.; Plum, M. 15 2003 Zero modes of Pauli and Weyl-Dirac operators. Zbl 1044.35066Balinsky, A. A.; Evans, W. D. 2 2003 Real interpolation with logarithmic functors. Zbl 1041.46011Evans, W. D.; Opic, Bohumír; Pick, Luboš 37 2002 On the zero modes of Weyl-Dirac operators and their multiplicity. Zbl 1043.81018Balinsky, A. A.; Evans, W. D. 11 2002 On the spectral properties of the Brown-Ravenhall operator. Zbl 1029.47053Balinsky, A. A.; Evans, W. D. 1 2002 The approximation numbers of Hardy-type operators on trees. Zbl 1027.47041Evans, W. D.; Harris, D. J.; Lang, J. 17 2001 On the zero modes of Pauli operators. Zbl 1002.47054Balinsky, A. A.; Evans, W. D. 11 2001 On the number of negative eigenvalues of Schrödinger operators with an Aharonov-Bohm magnetic field. Zbl 0990.81031Balinsky, A. A.; Evans, W. D.; Lewis, R. T. 6 2001 Sobolev, Hardy and CLR inequalities associated with Pauli operators in \({\mathbb R}^3\). Zbl 1002.81051Balinsky, A. A.; Evans, W. D.; Lewis, Roger T. 3 2001 Real interpolation with logarithmic functors and reiteration. Zbl 0981.46058Evans, W. D.; Opic, B. 54 2000 Neumann Laplacians on domains and operators on associated trees. Zbl 1158.35349Evans, W. D.; Saitō, Yoshimi 4 2000 On the spectrum of second-order differential operators with complex coefficients. Zbl 0944.34018Brown, B. M.; McCormack, D. K. R.; Evans, W. D.; Plum, M. 27 1999 Stability of one-electron molecules in the Brown-Ravenhall model. Zbl 0940.81045Balinsky, A. A.; Evans, W. D. 4 1999 The HELP inequality for Hamiltonian systems. Zbl 1088.34538Brown, B. M.; Evans, W. D.; Marletta, M. 1 1999 Eigenvalue estimates in the semi-classical limit for Pauli and Dirac operators with a magnetic field. Zbl 0934.35141Evans, W. D.; Lewis, Roger T. 1 1999 On an inequality of Kolmogorov type for a second-order difference expression. Zbl 0939.47029Delil, A.; Evans, W. D. 1 1999 Two-sided estimates for the approximation numbers of Hardy-type operators in \(L^\infty\) and \(L^1\). Zbl 0912.47027Evans, 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 0917.47057Burenkov, 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 0917.47056Balinsky, A. A.; Evans, W. D. 7 1998 Weighted Hardy-type inequalities for differences and the extension problem for spaces with generalized smoothness. Zbl 0922.46033Burenkov, V. I.; Evans, W. D. 3 1998 A catalogue of HELP and HELP-type integral and series inequalities. Zbl 0898.26005Benammar, 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 0909.26007Evans, 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 0897.47043Edmunds, D. E.; Evans, W. D.; Harris, D. J. 16 1997 The computation of the Titchmarsh-Weyl \(m\)-function. Zbl 0879.34034Brown, B. M.; Evans, W. D. 3 1997 On weighted Hardy and Poincaré-type inequalities for differences. Zbl 0886.26013Burenkov, 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 0978.46015Burenkov, V. I.; Evans, V. D. 1 1997 Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix. Zbl 0883.34026Brown, 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 0865.46016Evans, W. D.; Opic, B.; Pick, L. 22 1996 The spectrum of relativistic one-electron atoms according to Bethe and Salpeter. Zbl 0857.47041Evans, William Desmond; Perry, Peter; Siedentop, Heinz 22 1996 The Askey-Wilson polynomials and \(q\)-Sturm-Liouville problems. Zbl 0860.33012Brown, 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 0862.35097Evans, William Desmond; Lewis, Roger T.; Siedentop, Heinz; Solovej, Jan Philip 5 1996 Computation of the \(M\) matrix for fourth-order problems. Zbl 0869.34012Bennewitz, C.; Brown, B. M.; Evans, W. D.; McCormack, D. K. R. M.; Marletta, Marco 1 1996 On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre 34 1995 Weighted Hardy and Poincaré inequalities on trees. Zbl 0835.26010Evans, W. D.; Harris, D. J.; Pick, L. 13 1995 On the Friedrichs extension of semi-bounded difference operators. Zbl 0813.47038Benammar, M.; Evans, W. D. 6 1994 Repeated diagonalization and the numerical computation of the Titchmarsh- Weyl \(m(\lambda)\)-function. Zbl 0807.65089Brown, B. M.; Eastham, M. S. P.; Evans, W. D.; Kirby, V. G. 4 1994 Two integral inequalities. Zbl 0882.26009Brown, B. M.; Evans, W. D.; Everitt, W. N.; Kirby, V. G. 2 1994 Fractals, trees and the Neumann Laplacian. Zbl 0799.46041Evans, W. D.; Harris, D. J. 23 1993 Safe numerical bounds for the Titchmarsh-Weyl \(m(\lambda)\)-function. Zbl 0837.65089Brown, B. M.; Kirby, V. G.; Evans, W. D.; Plum, M. 5 1993 Orthogonal polynomials and extensions of Copson’s inequality. Zbl 0814.26009Brown, B. M.; Evans, W. D.; Littlejohn, L. L. 3 1993 Real orthogonalizing weights for Bessel polynomials. Zbl 0792.33009Evans, W. D.; Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L. 3 1993 The Agmon spectral function for molecular Hamiltonians with symmetry restrictions. Zbl 0804.35028Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi 2 1993 On an extension of Copson’s inequality for infinite series. Zbl 0754.26010Brown, B. M.; Evans, W. D. 5 1992 HELP integral and series inequalities. Zbl 0764.26010Brown, B. M.; Evans, W. D.; Everitt, W. N. 2 1992 Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. Zbl 0761.39007Brown, B. M.; Evans, W. D.; Littlejohn, L. L. 2 1992 A solution to the general Bessel moment problem. Zbl 0858.33004Evans, W. D.; Everitt, W. N.; Krall, A. M.; Kwon, K. H.; Littlejohn, L. L. 1 1992 Zhislin’s theorem revisited. Zbl 0808.35097Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi 1 1992 HELP inequalities for limit-circle and regular problems. Zbl 0724.34086Evans, W. D.; Everitt, W. N. 10 1991 Some geometric spectral properties of N-body Schrödinger operators. Zbl 0727.35101Evans, W. D.; Lewis, Roger T.; Saitō, Yoshimi 1 1991 Hardy-Littlewood integral inequalities. Zbl 0727.26011Evans, William Desmond; Everitt, W. Norrie 1 1991 Anisotropic Sobolev spaces and a quasidistance function. Zbl 0736.46020Evans, W. D.; Rákosník, Jiří 1 1991 Boundary conditions for general ordinary differential operators and their adjoints. Zbl 0704.34034Evans, W. D.; Ibrahim, Sobhy E. 14 1990 Boundary behavior of Dirichlet eigenfunction of second order elliptic operators. Zbl 0676.47030Evans, W. D.; Harris, D. J.; Kauffman, Robert M. 4 1990 N-body Schrödinger operators with finitely many body states. Zbl 0732.35062Evans, W. D.; Lewis, Roger T. 3 1990 Spectral theory and differential operators. Paperback ed. Zbl 0664.47014Edmunds, D. E.; Evans, W. D. 56 1989 On the approximation numbers of Sobolev embeddings for irregular domains. Zbl 0681.46033Evans, W. D.; Harris, D. J. 8 1989 Approximation numbers of certain Volterra integral operators. Zbl 0658.47049Edmunds, D. E.; Evans, W. D.; Harris, D. J. 12 1988 Spectral theory and differential operators. Zbl 0628.47017Edmunds, D. E.; Evans, W. D. 377 1987 Sobolev embeddings for generalized ridged domains. Zbl 0591.46027Evans, W. D.; Harris, D. J. 30 1987 On the extension problem for singular accretive differential operators. Zbl 0593.47038Evans, W. Desmond; Knowles, Ian 5 1986 On a class of integral inequalities of Hardy-Littlewood type. Zbl 0611.26010Evans, W. D.; Everitt, W. N.; Hayman, W. K.; Ruscheweyh, S. 4 1986 On the extension problem for accretive differential operators. Zbl 0578.47037Evans, W. Desmond; Knowles, Ian 7 1985 On the distribution of eigenvalues of Schrödinger operators. Zbl 0571.35022Edmunds, D. E.; Evans, W. D. 3 1985 On an inequality of Hardy-Littlewood type. I. Zbl 0587.26012Evans, W. D.; Everitt, W. N. 2 1985 Regularly solvable extensions of non-self-adjoint ordinary differential operators. Zbl 0558.47027Evans, W. D. 11 1984 Lower bounds for the spectrum of ordinary differential operators. Zbl 0573.34020Evans, W. D.; Kwong, M. K.; Zettl, A. 9 1983 Non-self-adjoint operators and their essential spectra. Zbl 0529.47020Evans, W. D.; Lewis, R. T.; Zettl, A. 1 1983 On the spectrum and the distribution of singular values of Schrödinger operators with a complex potential. Zbl 0523.35035Edmunds, D. E.; Evans, W. D.; Fleckinger, Jacqueline 1 1983 A return to the Hardy-Littlewood integral inequality. Zbl 0487.26005Evans, W. D.; Everitt, W. N. 21 1982 On the spectra of Schrödinger operators with a complex potential. Zbl 0438.35025Evans, W. D. 5 1981 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,051 Authors 42 Edmunds, David Eric 35 Evans, William Desmond 30 Cobos, Fernando 24 Gesztesy, Fritz 20 Opic, Bohumír 19 Marcellán Español, Francisco 17 Gogatishvili, Amiran 17 Zettl, Anton 16 Tang, Xianhua 15 Brown, B. Malcolm 15 Sun, Jiong 14 Fernández-Cabrera, Luz M. 14 Vasil’eva, Anastasiya Andreevna 13 Avkhadiev, Farit Gabidinovich 13 Haroske, Dorothee D. 13 Krejčiřík, David 12 Lang, Jan 12 Siegl, Petr 11 Pick, Luboš 11 Tretter, Christiane 10 Dominguez, Oscar 10 Mitrea, Marius 10 Sun, Huaqing 9 Everitt, William Norrie 9 Ibrahim, Sobhy El-Sayed 9 Qi, Jiangang 9 Skrzypczak, Leszek 8 Ho, Kwok-Pun 8 Martínez Martínez, Antón 7 Chiappinelli, Raffaele 7 Fleckinger, Jacqueline 7 Kühn, Thomas 7 Lotoreichik, Vladimir 7 Meskhi, Alexander 7 Neves, Júlio Severino 7 Nichols, Roger 7 Siedentop, Heinz Karl Heinrich 7 Triebel, Hans 6 Ahmed, Irshaad 6 Cianchi, Andrea 6 Harris, Bernard J. 6 Ismail, Mourad El-Houssieny 6 Knowles, Ian G. 6 Lewis, Roger T. 6 Marletta, Marco 6 Mizuta, Yoshihiro 6 Mustafayev, Rza Ch. 6 Nasibullin, Ramil Gaisa’evich 6 Pinchover, Yehuda 6 Schmidt, Karl Michael 6 Shimomura, Tetsu 6 Stuart, Charles Alexander 5 Alziary, Bénédicte 5 Behrndt, Jussi 5 Besoy, Blanca F. 5 Fernández-Martínez, Pedro 5 Fleige, Andreas 5 Gurka, Petr 5 Hurri-Syrjānen, Ritva 5 Ibrogimov, Orif O. 5 Jeribi, Aref 5 Lam, Nguyen 5 Laptev, Ari 5 Latushkin, Yuri 5 Lin, Xiaoyan 5 Littlejohn, Lance L. 5 Melgaard, Michael 5 Simon, Barry 5 Solomyak, Mikhaĭl Zakharovich 5 Stepanov, Vladimir Dmitrievich 4 Bennewitz, Christer 4 Boulanouar, Mohamed 4 Brown, Richard Clark 4 Caso, Loredana 4 D’Ambrosio, Roberta 4 Davies, Edward Brian 4 Eastham, Michael S. P. 4 Enstedt, Mattias 4 Esteban, Maria J. 4 Exner, Pavel 4 Frank, Rupert L. 4 Freitas, Pedro 4 Frentzen, Hilbert 4 Gol’dshtein, Vladimir Mikhailovich 4 Harris, Desmond J. 4 Hinton, Don Barker 4 Holden, Helge 4 Kostenko, Aleksey S. 4 Kovařík, Hynek 4 Kwong, Man Kam 4 Langer, Matthias 4 Lapidus, Michel L. 4 Makarov, R. V. 4 Matte, Oliver 4 Maz’ya, Vladimir Gilelevich 4 Mieth, Therese 4 Domingues de Moura, Susana 4 Nekvinda, Aleš 4 Persson, Lars-Erik 4 Qin, Dongdong ...and 951 more Authors all top 5 Cited in 222 Serials 78 Journal of Mathematical Analysis and Applications 54 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 53 Journal of Functional Analysis 42 Journal of Computational and Applied Mathematics 41 Journal of Differential Equations 29 Journal of Approximation Theory 27 Journal of Mathematical Physics 23 Mathematische Nachrichten 21 Mathematische Zeitschrift 20 Proceedings of the American Mathematical Society 18 Nonlinear Analysis. 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