Special Functions, Partial Differential Equations, and Harmonic Analysis: In Honor of Calixto P. Calder?n [Hardcover]

This volume of papers presented at the conference in honor of Calixto P. Calder?n 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.

Preface (Constantine Georgakis).- Remembrances and Silhouettes.- The Calder?n brothers, a happy mathematical relation.- Calixto Calder?n as I knew him.- An Appraisal of Calixto Calder?ns Work in Mathematical Biology.- Remarks on various generalized derivatives.- Some non standard applications of the Laplace method.- Fej?r Polynomials and Chaos.- A note on Widders 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.This volume of papers presented at the conference in honor of Calixto P. Calder?n 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.Explores recent developments in the field and directions for future work Describes the history of the developmel“¤