Hermi, Lotfi Graduate Faculty
- Associate Teaching Professor, Mathematics and Statistics , College of Arts, Sciences & Education
Overview
research interests
- Analysis - Mathematics and Statistics
Scholarly & Creative Works
selected scholarly works & creative activities
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Article
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2015A sharp upper bound for the first Dirichlet eigenvalue of a class of wedge-like domains. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK. 66:2419-2440.Full Text via DOI: 10.1007/s00033-015-0530-1
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2014Isoperimetric Inequalities for a Wedge-Like MembraneFull Text via DOI: 10.1007/s00023-013-0243-y
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2011On Riesz Means of Eigenvalues. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS. 36:1521-1543.Full Text via DOI: 10.1080/03605302.2011.595865
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2010Quadratic Interpolation and RayleighRitz Methods for Bifurcation Coefficients. SIAM JOURNAL ON MATHEMATICAL ANALYSIS. 42:2987-3019.Full Text via DOI: 10.1137/090750445
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2008On Extending the Inequalities of Payne, Pólya, and Weinberger Using Spherical Harmonics. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. 38:1037-1072.Full Text via DOI: 10.1216/rmj-2008-38-4-1037
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2008Differential inequalities for Riesz means and Weyl-type bounds for eigenvalues. JOURNAL OF FUNCTIONAL ANALYSIS. 254:3173-3191.Full Text via DOI: 10.1016/j.jfa.2008.02.016
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2008Two new Weyl-type bounds for the Dirichlet Laplacian. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. 360:1539-1558.Full Text via DOI: 10.1090/s0002-9947-07-04254-7
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2007Shape recognition using eigenvalues of the Dirichlet Laplacian. PATTERN RECOGNITION. 40:141-153.Full Text via DOI: 10.1016/j.patcog.2006.01.002
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2004A unified approach to universal inequalities for eigenvalues of elliptic operators. PACIFIC JOURNAL OF MATHEMATICS. 217:201-219.Full Text via DOI: 10.2140/pjm.2004.217.201
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Book Chapter
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2021Green’s Functions and Euler’s Formula for ζ (2n). 27-45.Full Text via DOI: 10.1007/978-3-030-68490-7_3
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2019Trace Formulas Applied to the Riemann ζ-Function. 231-253.Full Text via DOI: 10.1007/978-3-030-20087-9_8
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2011Chapter 3 Shape Recognition Based on Eigenvalues of the Laplacian. 185-254.Full Text via DOI: 10.1016/b978-0-12-385985-3.00003-1
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2011Max-to-mean ratio estimates for the fundamental eigenfunction of the Dirichlet Laplacian. 61-70.Full Text via DOI: 10.1090/conm/552/10910
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Conference
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2007Feature Generation Using the Laplacian Operator with Neumann Boundary Condition. 766-771.Full Text via DOI: 10.1109/secon.2007.343005
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Preprint
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2018Trace formulas applied to the Riemann $\zeta$-functionFull Text via DOI: 10.48550/arxiv.1812.00459
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2007Two new Weyl-type bounds for the Dirichlet LaplacianFull Text via DOI: 10.48550/arxiv.0711.4067
Contact
full name
- Lotfi Hermi
