William Desmond Evans

Q: What Schools Are Affiliated With William Desmond Evans

William Desmond Evans is affiliated with the following schools: University of Wales, Cardiff University

William Desmond Evans's AcademicInfluence.com Rankings

Mathematics

#855

World Rank

#1515

Historical Rank

Measure Theory

World Rank

#22

Historical Rank

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Mathematics

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William Desmond Evans's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

PARTIAL DIFFERENTIAL EQUATIONS (1941) (13686)
Spectral Theory and Differential Operators (1987) (955)
Hardy Operators, Function Spaces and Embeddings (2004) (229)
The Analysis and Geometry of Hardy's Inequality (2015) (199)
Real Interpolation with Logarithmic Functors and Reiteration (2000) (113)
Sobolev Embeddings for Generalized Ridged Domains (1987) (90)
The spectrum of relativistic one-electron atoms according to Bethe and Salpeter (1996) (89)
Real interpolation with logarithmic functors (2002) (84)
On recurrence relations for Sobolev orthogonal polynomials (1995) (68)
Fractals, trees and the Neumann Laplacian (1993) (65)
Spectral Analysis of Relativistic Operators (2010) (63)
On the spectrum of second-order differential operators with complex coefficients (1997) (61)
Interpolation of Operators on Scales of Generalized Lorentz‐Zygmund Spaces (1996) (60)
A return to the Hardy-Littlewood integral inequality (1982) (53)
Approximation Numbers of Certain Volterra Integral Operators (1988) (47)
Weighted Hardy and Poincaré Inequalities on Trees (1995) (46)
Two-sided estimates of the approximation numbers of certain Volterra integral operators (1997) (40)
The Approximation Numbers of Hardy‐Type Operators on Trees (2000) (38)
Reiteration theorems for the K‐interpolation method in limiting cases (2011) (37)
HARDY AND RELLICH INEQUALITIES WITH REMAINDERS (2007) (34)
Elliptic and degenerate-elliptic operators in unbounded domains (1973) (32)
The Askey–Wilson polynomials and q-Sturm–Liouville problems (1994) (31)
On the number of negative eigenvalues of Schrödinger operators with an Aharonov–Bohm magnetic field (2001) (31)
Two-sided estimates for the approximation numbers of Hardy-type operators in $L^{∞}$ and L¹ (1998) (29)
On the Rellich inequality with magnetic potentials (2005) (28)
FUNCTION SPACES, ENTROPY NUMBERS AND DIFFERENTIAL OPERATORS (Cambridge Tracts in Mathematics 120) By David E. Edmunds and Hans Triebel: 252 pp., £40.00, ISBN 0 521 56036 5 (Cambridge University Press, 1996). (1998) (28)
On the Unique Self‐Adjoint Extension of the Dirac Operator and the Existence of the Green Matrix (1970) (27)
Titchmarsh–Sims–Weyl Theory for Complex Hamiltonian Systems (2003) (26)
Norm inequalities involving derivatives (1978) (25)
Neumann laplacians on domains and operators on associated trees (2000) (23)
The reverse Hardy inequality with measures (2008) (23)
HELP inequalities for limit-circle and regular problems (1991) (23)
Boundary conditions for general ordinary differential operators and their adjoints (1990) (23)
On solutions of a differential equation which are not of integrable square (1972) (21)
Smilansky's model of irreversible quantum graphs: I. The absolutely continuous spectrum (2005) (21)
Dirichlet and separation results for Schrödinger-type operators (1978) (20)
The essential self-adjointness of Schrödinger-type operators (1976) (20)
On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms (1998) (19)
Lower bounds for the spectrum of ordinary differential operators (1983) (19)
ON THE APPROXIMATION NUMBERS OF SOBOLEV EMBEDDINGS FOR IRREGULAR DOMAINS (1989) (18)
On the extension problem for accretive differential operators (1985) (17)
Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semi-classical limit (1996) (16)
On the Virial Theorem for the Relativistic Operator of Brown and Ravenhall, and the Absence of Embedded Eigenvalues (1998) (16)
Stability of One-Electron Molecules in the Brown–Ravenhall Model (1999) (16)
On the essential self-adjointness of powers of Schrödinger-type operators (1977) (15)
Interval Limit-Point Criteria for Differential Expressions and their Powers (1977) (15)
SPECTRAL THEORY AND EMBEDDINGS OF SOBOLEV SPACES (1979) (15)
Regularly solvable extensions of non-self-adjoint ordinary differential operators (1984) (15)
On the Deficiency Indices of Powers of Real 2nth-Order Symmetric Differential Expressions (1976) (14)
The Rellich inequality (2016) (14)
On the Friedrichs extension of semi-bounded difference operators (1994) (14)
Some Recent Results on Hardy-Type Inequalities (2010) (14)
DIRAC-SOBOLEV INEQUALITIES AND ESTIMATES FOR THE ZERO MODES OF MASSLESS DIRAC OPERATORS (2007) (14)
Real orthogonalizing weights for Bessel polynomials (1993) (13)
On an extension of Copson's inequality for infinite series (1992) (13)
On limit-point and Dirichlet-type results for second-order differential expressions (1976) (13)
Repeated diagonalization and the numerical computation of the Titchmarsh-Weyl m(λ)-function (1994) (13)
Boundary behaviour of dirichlet eigenfunctions of second order elliptic operators (1990) (13)
Weighted Hardy‐Type Inequalities for Differences and the Extension Problem for Spaces with Generalized Smoothness (1998) (13)
Smilansky's model of irreversible quantum graphs: II. The point spectrum (2005) (12)
Non-self-adjoint operators and their essential spectra (1983) (12)
N-body Schrödinger operators with finitely many bound states (1990) (12)
ON INEQUALITIES OF HARDY–SOBOLEV TYPE (2008) (12)
Orlicz and Sobolev spaces on unbounded domains (1975) (11)
On the Zero Modes of Weyl–Dirac Operators and Their Multiplicity (2002) (11)
The ρ-quasiconcave Functions and Weighted Inequalities (2008) (11)
Sharp Estimates of the Embedding Constants for Besov Spaces (2006) (11)
On Non-Integrable Square Solutions of a Fourth-Order Differential Equation and the Limit-2 Classification (1973) (11)
On the zero modes of Pauli operators (2000) (10)
Hardy's inequality and curvature (2011) (10)
Geometric spectral properties of N-body Schrödinger operators. II (1992) (9)
Weighted Inequalities Involving ρ-quasiconcave Operators (2018) (9)
On an inequality of Hardy-Littlewood type: I (1985) (9)
On the approximation numbers of Sobolev embeddings on singular domains and trees (2004) (9)
On the Limit‐Point, Limit‐Circle Classification of a Second‐Order Differential Equation with a Complex Coefficient (1971) (9)
Safe numerical bounds for the Titchmarsh–Weyl m(λ)-function (1993) (9)
Bounds for the point spectra of separated Dirac operators (1981) (8)
On the spectra of Schrödinger operators with a complex potential (1981) (8)
Representations of compact linear operators in Banach spaces and nonlinear eigenvalue problems (2008) (8)
Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators (1992) (8)
On the extension problem for singular accretive differential operators (1986) (8)
Approximate diagonalization in differential systems and an effective algorithm for the computation of the spectral matrix (1997) (8)
Eigenvalue estimates in the semi–classical limit for Pauli and Dirac operators with a magnetic field (1999) (8)
On the distribution of Eigenvalues of Schrödinger operators (1985) (7)
A NON-SELF-ADJOINT DIFFERENTIAL OPERATOR IN L2[a, b) (1970) (7)
Selfadjoint and m Sectorial Extensions of Sturm–Liouville Operators (2016) (7)
The Dirac-Hardy and Dirac-Sobolev inequalities in $L^1$ (2011) (7)
A catalogue of HELP and HELP-type integral and series inequalities (1998) (7)
Sobolev Embeddings and Hardy Operators (2009) (7)
Zhislin's theorem revisited (1992) (7)
On a class of integral inequalities of Hardy-Littlewood type (1986) (7)
Five integral inequalities; an inheritance from Hardy and Littlewood (1998) (7)
On the Decomposition Method and the Spectrum of the Dirac Operator (1970) (7)
HELP integral and series inequalities (1992) (6)
On the limit point and strong limit point classification of 2nth order differential expressions with wildly oscillating coefficients (1973) (6)
Some geometric spectral properties of N-body Schrödinger operators (1991) (6)
Elliptic Differential Operators and Spectral Analysis (2018) (6)
Orthogonal polynomials and extensions of Copson's inequality (1993) (6)
A spectral analysis of compact linear operators in Banach spaces (2010) (5)
Sharp estimates of the embedding constants for Besov spaces bsp,q, 0 < p < 1, (2007) (5)
Sobolev, Hardy and CLR inequalities associated with Pauli operators in ℝ3 (2001) (5)
Two Integral Inequalities (1994) (5)
On the spectra of non-self-adjoint realisations of second-order elliptic operators (1981) (5)
Computation of the M matrix for fourth-order problems (1996) (5)
Spectral theory of the Dirac operator (1971) (4)
Inequalities associated with magnetic fields (2004) (4)
Eigenvalues below the essential spectra of singular elliptic operators (1986) (4)
AN INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS AND HILBERT SPACE METHODS (1981) (4)
The Agmon spectral function for molecular hamiltonians with symmetry restrictions (1993) (4)
Representations of Linear Operators Between Banach Spaces (2013) (4)
Counting eigenvalues of biharmonic operators with magnetic fields (2005) (4)
On a class of integral inequalities of Hardy-Littlewood type (1986) (4)
Anisotropic Sobolev Spaces and a Quasidistance Function (1991) (4)
EIGENFUNCTION EXPANSIONS ASSOCIATED WITH THE DIRAC RELATIVISTIC EQUATIONS (II) (1966) (4)
RECENT RESULTS ON HARDY AND RELLICH INEQUALITIES (2009) (4)
Levinson's limit-point criterion and powers☆ (1978) (4)
A numerical investigation of HELP inequalities (1994) (4)
On the Essential Spectrum of Second Order Degenerate Elliptic Operators (1974) (4)
On an inequality of the Kolmogorov type for a second-order differential expression (1993) (3)
A Solution to the General Bessel Moment Problem (1992) (3)
Second-Order Elliptic Equations (2018) (3)
On the spectrum and the distribution of singular values of Schrödinger operators with a complex potential (1983) (3)
Spectral problems on arbitrary open subsets of R n involving the distance to the boundary (2006) (3)
On a Result of Brinck in the Limit-Point Theory of Second- Order Differential Expressions (1983) (3)
Fractional Sobolev Spaces and Inequalities (2022) (3)
On The J-Self-Adjointness of Schrödinger Operators with a Singular Complex Potential (1979) (2)
The Dirac equations with a spherically symmetrical scalar potential (1970) (2)
WEIGHTED SOBOLEV SPACES (1986) (2)
On the spectral properties of the Brown--Ravenhall operator (2002) (2)
Positive Self-adjoint Operator Extensions with Applications to Differential Operators (2019) (1)
Corrigendum. A spectral analysis of compact linear operators in Banach spaces (2012) (1)
5.—Semi-bounded Dirichlet Integrals and the Invariance of the Essential Spectra of Self-adjoint Operators (1976) (1)
Representation of Compact Linear Operators (2013) (1)
Some spectral properties of Rooms and Passages domains and their skeletons (2013) (1)
Degenerate Elliptic Operators in Unbounded Domains (1974) (1)
Boundary Curvatures and the Distance Function (2015) (1)
LETTER TO THE EDITOR: On the stability of relativistic one-electron molecules (1999) (1)
The structure of compact linear operators in Banach spaces (2013) (1)
The Rellich inequality (2016) (1)
Sobolev Spaces (2018) (1)
On the length of gaps in the essential spectrum of a generalised Dirac operator (1972) (1)
The HELP Inequality for Hamiltonian Systems (1999) (1)
Ridged Domains, Embedding Theorems and Poincaré Inequalities (2001) (1)
On the exponential behaviour of eigenfunctions and the essential spectrum of differential operators (1982) (1)
Linear Operators in Banach Spaces (2018) (0)
Representation of Bounded Linear Operators (2013) (0)
Improved Hardy-Sobolev inequalities (2007) (0)
Unbounded Linear Operators (2018) (0)
Entropy Numbers, s-Numbers, and Eigenvalues (2018) (0)
The Dirac Operator (2018) (0)
COMPACT LINEAR OPERATORS VIA NONLINEAR ANALYSIS (2011) (0)
Hardy, Sobolev, and CLR Inequalities (2015) (0)
Semi-classical asymptotics for the counting functions and Riesz means of Pauli and Dirac operators with large magnetic fields (1999) (0)
Capacity and Compactness Criteria (2018) (0)
Prof. Michael Eastham Laudatum (2002) (0)
Sesquilinear Forms in Hilbert Spaces (2018) (0)
Generalised ridged domains (2004) (0)
Finiteness of bound states of general $n$-body operators (1990) (0)
More Properties of Sobolev Embeddings (2018) (0)
Hardy, Sobolev, Maz’ya (HSM) Inequalities (2015) (0)
Generalized Dirichlet and Neumann Boundary-Value Problems (2018) (0)
The Classical Dirichlet Problem for Second-Order Elliptic Operators (2018) (0)
Essential Spectra (2018) (0)
The $p-$Laplacian (2018) (0)
Estimates for the Singular Values of −Δ‎ + q when q is Complex (2018) (0)
Approximation numbers of Sobolev embeddings (2004) (0)
A PROBLEM IN RELATIVISTIC QUANTUM MECHANICS (1966) (0)
The structure of compact linear operators in Banach spaces (2012) (0)
Inequalities and Operators Involving Magnetic Fields (2015) (0)
Non-negative Extensions of Hamiltonian Systems (2021) (0)
Operators and Quadratic Forms in Hilbert Space (2018) (0)
Essential Spectra of General Second-Order Differential Operators (2018) (0)
A spectral analysis of compact linear operators in Banach spaces (2012) (0)
Poincaré and Hardy inequalities (2004) (0)
Elliptic Operators of Arbitrary Order (2018) (0)
Inequalities of Rellich Type (2021) (0)
Global and Asymptotic Estimates for the Eigenvalues of −Δ‎ + q when q Is Real (2018) (0)
Addendum to "limit point conditions for powers" (1976) (0)
M. Dimassi and J. Sjöstrand Spectral asymptotics in the semi-classical limit (LMS Lecture Note Series no. 268, Cambridge, 1999), xi + 227 pp., 0 521 66544 2 (paperback), $24.95. (2000) (0)
Banach function spaces (2004) (0)
A Discrete Hardy-Laptev-Weidl-Type Inequality and Associated Schrödinger-Type Operators (2009) (0)
Realisations of Second-Order Linear Elliptic Operators (2018) (0)
The $$L_{p}$$ Approach to the Laplace Operator (2018) (0)
Eigenvalue Properties of Schrödinger Operators (1994) (0)
Selfadjoint and m Sectorial Extensions of Sturm–Liouville Operators (2016) (0)
Hardy’s Inequality on Domains (2015) (0)
Inequalities of Rellich Type (2021) (0)
SP ] 3 0 M ar 2 00 0 On the zero modes of Pauli operators * (0)
On the Sobolev, Hardy and CLR Inequalities Associated with Schrödinger Operators (2003) (0)
Second-Order Differential Operators on Arbitrary Open Sets (2018) (0)
CONSTANTS IN SOME INEQUALITIES OF ANALYSIS (1987) (0)

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What Schools Are Affiliated With William Desmond Evans?

William Desmond Evans is affiliated with the following schools:

University of Wales
Cardiff University

William Desmond Evans's Academic­Influence.com Rankings

Why Is William Desmond Evans Influential?

William Desmond Evans's Published Works

Published Works

What Schools Are Affiliated With William Desmond Evans?

William Desmond Evans's AcademicInfluence.com Rankings