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Roger Lewis
Professor Emeritus
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rtlewis@uab.edu
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Roger Lewis
Professor Emeritus
Positions
Professor - Emeritus and Professor - Emeritus (P)
,
Mathematics
,
College of Arts and Sciences
Publications
Background
Contact
Publications
Selected Publications
Academic Article
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Year
Title
Altmetric
2021
Inequalities of Rellich Type
.
Functional Analysis and Its Applications
. 55:130-139.
2021
2012
A geometric characterization of a sharp Hardy inequality
.
Journal of Functional Analysis
. 262:3159-3185.
2012
2012
Hardy's inequality and curvature
.
Journal of Functional Analysis
. 262:648-666.
2012
2008
On inequalities of hardy-sobolev type
.
Banach Journal of Mathematical Analysis
. 2:94-106.
2008
2005
Counting eigenvalues of biharmonic operators with magnetic fields
2005
2005
On the Rellich inequality with magnetic potentials
.
Mathematische Zeitschrift
. 251:267-284.
2005
2001
On the number of negative eigenvalues of Schrödinger operators with an Aharonov-Bohm magnetic field
.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
. 457:2481-2489.
2001
2001
Sobolev, Hardy and CLR inequalities associated with Pauli operators in ℝ 3
.
Journal of Physics A: Mathematical and Theoretical
. 34.
2001
1999
Eigenvalue estimates in the semi-classical limit for Pauli and Dirac operators with a magnetic field
.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
. 455:183-217.
1999
1996
Counting eigenvalues using coherent states with an application to dirac and schrödinger operators in the semi-classical limit
1996
1993
On the number of bound states of a bosonic N-particle Coulomb system
.
Mathematische Zeitschrift
. 214:441-459.
1993
1992
Zhislin's theorem revisited
1992
1991
Some geometric spectral properties of N-body Schrödinger operators
.
Archive for Rational Mechanics and Analysis
. 113:377-400.
1991
1990
N-bodys chrÖdinger operators with finitely many bound states
.
Transactions of the American Mathematical Society
. 322:593-626.
1990
1986
Eigenvalues below the essential spectra of singular elliptic operators
.
Transactions of the American Mathematical Society
. 297:197-222.
1986
1984
A Friedrichs inequality and an application
1984
1982
Singular elliptic operators of second order with purely discrete spectra
.
Transactions of the American Mathematical Society
. 271:653-666.
1982
1981
The effect of variable change on oscillation and disconjugacy criteria with applications to spectral theory and asymptotic theory
.
Journal of Mathematical Analysis and Applications
. 81:234-277.
1981
1981
The spectra of some singular elliptic operators of second order
.
North Holland Mathematics Studies
. 55:303-318.
1981
1981
Transformations of ordinary differential operators
.
North Holland Mathematics Studies
. 55:1-7.
1981
1980
Comparison and oscillation criteria for selfadjoint vector-matrix differential equations
.
Pacific Journal of Mathematics
. 90:125-134.
1980
1980
Oscillation theory for generalized second-order differential equations
.
Rocky Mountain Journal of Mathematics
. 10:751-766.
1980
1980
The Oscillation of Elliptic Systems
1980
1979
Positive functionals and oscillation criteria for second order differential systems
.
Proceedings of the Edinburgh Mathematical Society
. 22:277-290.
1979
1978
Oscillation theory at a finite singularity
.
Journal of Differential Equations
. 30:235-247.
1978
1978
Spectral analysis of second order difference equations
.
Journal of Mathematical Analysis and Applications
. 63:421-438.
1978
1977
Conjugate points of vector-matrix differential equations
.
Transactions of the American Mathematical Society
. 231:167-178.
1977
1976
The existence of conjugate points for selfadjoint differential equations of even order
.
Proceedings of the American Mathematical Society
. 56:162-166.
1976
1974
Oscillation and nonoscillation criteria for some self-adjoint even order linear differential operators
.
Pacific Journal of Mathematics
. 51:221-234.
1974
1974
The discreteness of the spectrum of selfadjoint, even order, one-term, differential operators
.
Proceedings of the American Mathematical Society
. 42:480-482.
1974
Book
Filter
Year
Title
Altmetric
1984
Preface
. Ed. 92.
1984
1981
Preface
. Ed. 55.
1981
Background
Education And Training
Doctor of Philosophy in Mathematics,
University of Tennessee System : Knoxville
1972
Contact
Full Name
Roger
Lewis