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

Description

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. Front Matter....Pages i-x Remembrances and Silhouettes....Pages 1-6 The Calderón Brothers, a Happy Mathematical Relation....Pages 7-11 Calixto Calderón As I Knew Him....Pages 13-14 An Appraisal of Calixto Calderón’s Work in Mathematical Biology....Pages 15-23 Remarks on Various Generalized Derivatives....Pages 25-39 Some Non Standard Applications of the Laplace Method....Pages 41-47 Fejér Polynomials and Chaos....Pages 49-75 A Note on Widder’s Inequality....Pages 77-86 Solyanik Estimates in Harmonic Analysis....Pages 87-103 Some Open Problems Related to Generalized Fourier Series....Pages 105-113 Computational Analysis for a Mathematical Model of the Mechanics of Aneurysm Development and Rupture....Pages 115-134 Singular Integral Operators on C 1 Manifolds and C 1 Curvilinear Polygons....Pages 135-161 Towards a Unified Theory of Sobolev Inequalities....Pages 163-201 Transference of Fractional Laplacian Regularity....Pages 203-212 Local Sharp Maximal Functions....Pages 213-232 Weighted Norm Estimates for Singular Integrals with L log L Kernels: Regularity of Weak Solutions of Some Degenerate Quasilinear Equations....Pages 233-246