Special Functions, Partial Differential Equations, and Harmonic Analysis: In Honor of Calixto P. Calderón

Special Functions, Partial Differential Equations, and Harmonic Analysis: In Honor of Calixto P. Calderón

Paperback(Softcover reprint of the original 1st ed. 2014)

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Overview

This volume of papers presented at the conference in honor of Calixto P. Calderón by his friends, colleagues, and students is intended to make the mathematical community aware of his important scholarly and research contributions in contemporary Harmonic Analysis and Mathematical Models applied to Biology and Medicine, and to stimulate further research in the future in this area of pure and applied mathematics.

Product Details

ISBN-13: 9783319379821
Publisher: Springer International Publishing
Publication date: 08/23/2016
Series: Springer Proceedings in Mathematics & Statistics , #108
Edition description: Softcover reprint of the original 1st ed. 2014
Pages: 246
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Preface (Constantine Georgakis).- Remembrances and Silhouettes.- The Calderón brothers, a happy mathematical relation.- Calixto Calderón as I knew him.- An Appraisal of Calixto Calderón’s Work in Mathematical Biology.- Remarks on various generalized derivatives.- Some non standard applications of the Laplace method.- Fejér Polynomials and Chaos.- A note on Widder’s Inequality.- Solyanik Estimates in Harmonic Analysis.- Some open problems related with generalized Fourier series.- Modeling the Mechanics of Aneurysm Development and Rupture Computational Simulation of Aneurysm Evolution, Growth and Rupture.- Singular Integral Operators on C1 Manifolds and C1 Curvilinear Polygons.- Towards a unified theory of Sobolev inequalities.- Transference of fractional Laplacian regularity.- Local sharp maximal functions.- Weighted norm estimates for singular integrals with L log L kernels; Regularity of weak solutions of some degenerate quasilinear equations.

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