Special Functions, Partial Differential Equations, and Harmonic Analysis: In Honor of Calixto P. Calderón (Springer Proceedings in Mathematics & Statistics Book 108)

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. Preface / Constantine Georgakis, Alexander M. Stokolos, Wilfredo Urbina -- Remembrances And Silhouettes / Calixto P. Calderón -- The Calderón Brothers, A Happy Mathematical Relation / Alexandra Bellow -- Calixto Calderón As I Knew Him / Luis Caffarelli -- An Appraisal Of Calixto Calderón's Work In Mathematical Biology / Evans Afenya -- Remarks On Various Generalized Derivatives / J. Marshall Ash -- Some Non Standard Applications Of The Laplace Method / Calixto P. Calderón And Wilfredo O. Urbina -- Fejér Polynomials And Chaos / Dmitriy Dmitrishin, Anna Khamitova, And Alexander M. Stokolos -- A Note On Widder's Inequality / Constantine Georgakis -- Solyanik Estimates In Harmonic Analysis / Paul Hagelstein And Ioannis Parissis -- Some Open Problems Related With Generalized Fourier Series / Kazaros S. Kazarian -- Computational Analysis For A Mathematical Model Of The Mechanics Of Aneurysm Development And Rupture / Tor A. Kwembe -- Singular Integral Operators On C¹ Manifolds And C¹ Curvilinear Polygons / Jeff E. Lewis -- Towards A Unified Theory Of Sobolev Inequalities / Joaquim Martín And Mario Milman -- Transference Of Fractional Laplacian Regularity / Luz Roncal And Pablo Raúl Stinga -- Local Sharp Maximal Functions / Alberto Torchinsky -- Weighted Norm Estimates For Singular Integrals With L Log L Kernels: Regularity Of Weak Solutions Of Some Degenerate Quasilinear Equations / Richard L. Wheedon. Constantine Georgakis, Alexander M. Stokolos, Wilfredo Urbina, Editors. Introductory Speech Given At Special Functions, Partial Differential Equations And Harmonic Analysis, A Conference In Honor Of Calixto P. Calderón, November 16-18, 2012, Department Of Mathematics And Actuarial Sciences, Roosevelt University-- Page 1. 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. Preface / Constantine Georgakis, Alexander M. Stokolos, Wilfredo Urbina -- Remembrances And Silhouettes / Calixto P. Calderón -- The Calderón Brothers, A Happy Mathematical Relation / Alexandra Bellow -- Calixto Calderón As I Knew Him / Luis Caffarelli -- An Appraisal Of Calixto Calderón's Work In Mathematical Biology / Evans Afenya -- Remarks On Various Generalized Derivatives / J. Marshall Ash -- Some Non Standard Applications Of The Laplace Method / Calixto P. Calderón And Wilfredo O. Urbina -- Fejér Polynomials And Chaos / Dmitriy Dmitrishin, Anna Khamitova, And Alexander M. Stokolos -- A Note On Widder's Inequality / Constantine Georgakis -- Solyanik Estimates In Harmonic Analysis / Paul Hagelstein And Ioannis Parissis -- Some Open Problems Related With Generalized Fourier Series / Kazaros S. Kazarian -- Computational Analysis For A Mathematical Model Of The Mechanics Of Aneurysm Development And Rupture / Tor A. Kwembe -- Singular Integral Operators On C1 Manifolds And C1 Curvilinear Polygons / Jeff E. Lewis -- Towards A Unified Theory Of Sobolev Inequalities / Joaquim Martín And Mario Milman -- Transference Of Fractional Laplacian Regularity / Luz Roncal And Pablo Raúl Stinga -- Local Sharp Maximal Functions / Alberto Torchinsky -- Weighted Norm Estimates For Singular Integrals With L Log L Kernels: Regularity Of Weak Solutions Of Some Degenerate Quasilinear Equations / Richard L. Wheedon. Constantine Georgakis, Alexander M. Stokolos, Wilfredo Urbina, Editors. Introductory Speech Given At Special Functions, Partial Differential Equations And Harmonic Analysis, A Conference In Honor Of Calixto P. Calderón, November 16-18, 2012, Department Of Mathematics And Actuarial Sciences, Roosevelt University-- Page 1. 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 La 4ème de couverture indique: 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 Calderon 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.