Lotfi Hermi

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All published works

Action	Title	Year	Authors
+	On a nonlocal integral operator commuting with the Laplacian and the Sturm–Liouville problem: Low rank perturbations of the operator	2024	Lotfi Hermi Naoki Saito
+ PDF Chat	On a Nonlocal Integral Operator Commuting with the Laplacian and the Sturm-Liouville Problem I: Low Rank Perturbations of the Operator	2022	Lotfi Hermi Naoki Saito
+	On a Nonlocal Integral Operator Commuting with the Laplacian and the Sturm-Liouville Problem I: Low Rank Perturbations of the Operator	2022	Lotfi Hermi Naoki Saito
+	Green’s Functions and Euler’s Formula for $$\zeta (2n)$$	2021	Mark S. Ashbaugh Fritz Gesztesy Lotfi Hermi Klaus Kirsten Lance L. Littlejohn Hagop Tossounian
+	Trace formulas applied to the Riemann $ζ$-function	2018	Mark S. Ashbaugh Fritz Gesztesy Lotfi Hermi Klaus Kirsten Lance L. Littlejohn Hagop Tossounian
+	On Rayleigh-type formulas for a non-local boundary value problem associated with an integral operator commuting with the Laplacian	2016	Lotfi Hermi Naoki Saito
+	Mathematics in North Africa After the Arab Spring	2016	Lotfi Hermi
+	A sharp upper bound for the first Dirichlet eigenvalue of a class of wedge-like domains	2015	Abdelhalim Hasnaoui Lotfi Hermi
+ PDF Chat	Isoperimetric Inequalities for a Wedge-Like Membrane	2013	Abdelhalim Hasnaoui Lotfi Hermi
+ PDF Chat	On Riesz Means of Eigenvalues	2011	Evans M. Harrell Lotfi Hermi
+	Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian	2011	Najoua Gamara Abdelhalim Hasnaoui Lotfi Hermi
+ PDF Chat	Quadratic Interpolation and Rayleigh–Ritz Methods for Bifurcation Coefficients	2010	W. M. Greenlee Lotfi Hermi
+	On Rayleigh-Type Formulas for a Non-local Boundary Value Problem Associated with an Integral Operator Commuting with the Laplacian	2010	Lotfi Hermi Naoki Saito
+	Quadratic Interpolation and Rayleigh-Ritz Methods for Bifurcation Coefficients	2009	W. M. Greenlee Lotfi Hermi
+ PDF Chat	On Extending the Inequalities of Payne, Pólya, and Weinberger Using Spherical Harmonics	2008	Mark S. Ashbaugh Lotfi Hermi
+ PDF Chat	Differential inequalities for Riesz means and Weyl-type bounds for eigenvalues	2008	Evans M. Harrell Lotfi Hermi
+ PDF Chat	Two new Weyl-type bounds for the Dirichlet Laplacian	2007	Lotfi Hermi
+	On Harrell-Stubbe Type Inequalities for the Discrete Spectrum of a Self-Adjoint Operator	2007	Mark S. Ashbaugh Lotfi Hermi
+	Differential inequalities for Riesz means and Weyl-type bounds for eigenvalues	2007	Evans M. Harrell Lotfi Hermi
+	Two new Weyl-type bounds for the Dirichlet Laplacian	2007	Lotfi Hermi
+	On Riesz Means of Eigenvalues	2007	Evans M. Harrell Lotfi Hermi
+	A unified approach to universal inequalities for eigenvalues of elliptic operators	2004	Mark S. Ashbaugh Lotfi Hermi

Common Coauthors

Coauthor	Papers Together
Mark S. Ashbaugh	5
Evans M. Harrell	4
Abdelhalim Hasnaoui	3
Naoki Saito	3
Fritz Gesztesy	2
Naoki Saito	2
Klaus Kirsten	2
W. M. Greenlee	2
Hagop Tossounian	2
Lance L. Littlejohn	2
Najoua Gamara	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie	10
+	On Harrell-Stubbe Type Inequalities for the Discrete Spectrum of a Self-Adjoint Operator	2007	Mark S. Ashbaugh Lotfi Hermi	7
+	Dirichlet and Neumann Eigenvalue Problems on Domains in Euclidean Spaces	1997	Ари Лаптев	7
+ PDF Chat	On trace identities and universal eigenvalue estimates for some partial differential operators	1997	Evans M. Harrell Joachim Stubbe	7
+	More Bounds on Eigenvalue Ratios for Dirichlet Laplacians in<i>N</i>Dimensions	1993	Mark S. Ashbaugh Rafael D. Benguria	7
+	On the Ratio of Consecutive Eigenvalues	1956	L. E. Payne Georg Pólya Hans F. Weinberger	7
+	A Sharp Bound for the Ratio of the First Two Eigenvalues of Dirichlet Laplacians and Extensions	1992	Mark S. Ashbaugh Rafael D. Benguria	6
+	Commutators, Spectral Trace Identities, and Universal Estimates for Eigenvalues	2002	Michael Levitin Leonid Parnovski	6
+ PDF Chat	Recent results on Lieb-Thirring inequalities	2000	Ари Лаптев Timo Weidl	6
+	COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS	1972	F. A. Berezin	6
+	On the Schr�dinger equation and the eigenvalue problem	1983	Peter Li Shing Tung Yau	6
+	On the Ratio of Consecutive Eigenvalues in <i>N</i>‐Dimensions	1969	Colin Thompson	5
+	A unified approach to universal inequalities for eigenvalues of elliptic operators	2004	Mark S. Ashbaugh Lotfi Hermi	5
+	The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H C Yang	2002	Mark S. Ashbaugh	5
+ PDF Chat	Proof of the Payne-Pólya-Weinberger conjecture	1991	Mark S. Ashbaugh Rafael D. Benguria	4
+	Spectra of finite systems : a review of Weyl's problem, the eigenvalue distribution of the wave equation for finite domains and its applications on the physics of small systems	1976	H.P. Baltes Eberhard R. Hilf	4
+	Isoperimetric and universal inequalities for eigenvalues	1999	Mark S. Ashbaugh	4
+	Metric Spaces and Completely Monotone Functions	1938	I. J. Schoenberg	4
+	On Certain Metric Spaces Arising From Euclidean Spaces by a Change of Metric and Their Imbedding in Hilbert Space	1937	I. J. Schoenberg	4
+	Upper bounds for the Neumann eigenvalues on a bounded domain in euclidean space	1992	Pawel Kröger	4
+ PDF Chat	Bounds for ratios of eigenvalues of the Dirichlet Laplacian	1994	Mark S. Ashbaugh Rafael D. Benguria	4
+	�ber eine von Rayleigh formulierte Minimaleigenschaft des Kreises	1925	E. Krahn	4
+	Bounds on eigenvalues of Dirichlet Laplacian	2006	Qing-Ming Cheng Hongcang Yang	4
+	On the Eigenvalues of Vibrating Membranes<sup>†</sup>	1961	Georg Pólya	4
+	Methoden der mathematischen Physik	1993	Richard Courant David Hilbert	4
+ PDF Chat	Two new Weyl-type bounds for the Dirichlet Laplacian	2007	Lotfi Hermi	4
+	A reverse Hölder inequality for the eigenfunctions of linear second order elliptic operators	1982	Giuseppe Chiti	4
+	Can One Hear the Shape of a Drum? Revisited	1987	Murray H. Protter	4
+	Commutator Bounds for Eigenvalues of Some Differential Operators	1994	Evans M. Harrell Patricia L. Michel	3
+	Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds,	2007	Ahmad El Soufi Evans M. Harrell Saïd Ilias	3
+ PDF Chat	Lower Bounds on the Number of Points in the Lower Spectrum of Elliptic Operators	1979	W. Allegretto	3
+	On distance matrices and Laplacians	2004	R.B. Bapat Steve Kirkland Michael Neumann	3
+	Lower bounds for the generalized counting function	1999	Yu. Safarov	3
+	<i>Spectra of Finite Systems</i>	1977	H. P. Baltes Eberhard R. Hilf John L. Challifour	3
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	3
+	Euler and the Zeta Function	1974	Raymond Ayoub	3
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	3
+ PDF Chat	Sharp Lieb-Thirring inequalities in high dimensions	2000	Ари Лаптев Timo Weidl	3
+	Some geometric bounds on eigenvalue gaps	1993	Evans M. Harrell	3
+ PDF Chat	Domain-independent upper bounds for eigenvalues of elliptic operators	1990	Stephen M. Hook	3
+ PDF Chat	Commutator bounds for eigenvalues, with applications to spectralgeometry	1994	Evans M. Harrell Patricia L. Michel	3
+ PDF Chat	Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)	1912	Hermann Weyl	3
+	On semi-classical bounds for eigenvalues of Schrödinger operators	1978	Michael Aizenman Élliott H. Lieb	3
+ PDF Chat	On Extending the Inequalities of Payne, Pólya, and Weinberger Using Spherical Harmonics	2008	Mark S. Ashbaugh Lotfi Hermi	3
+ PDF Chat	Commutators, Eigenvalue Gaps, and Mean Curvature in the Theory of Schrödinger Operators	2007	Evans M. Harrell	3
+ PDF Chat	The logarithmic potential operator	1967	John L. Troutman R. H. McDowell	2
+	Variational Methods for Eigenvalue Approximation	1974	Hans F. Weinberger	2
+ PDF Chat	Rate of convergence in singular perturbations	1968	W. M. Greenlee	2
+ PDF Chat	Lieb–Thirring type inequalities and Gagliardo–Nirenberg inequalities for systems	2006	Jean Dolbeault Patricio Felmer Michael Loss Éric Paturel	2
+	Isoperimetric inequalities in mathematical physics	1951	George Pólya Gábor Szegő	2