Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory vol 1

✍ Scribed by María Cristina Pereyra, Stefania Marcantognini, Alexander M. Stokolos, Wilfredo Urbina (eds.)

• Publisher: Springer
• Year: 2016
• Tongue: English
• Leaves: 380
• Series: Association for Women in Mathematics Series
• Edition: 1st ed.
• Category: Library

✦ Synopsis

Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book contains survey and expository articles by leading experts in their corresponding fields, and features fully-refereed, high-quality papers exploring new results and trends in spectral theory, mathematical physics, geometric function theory, and partial differential equations. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. Another shared research interest of the contributors of this volume lies in the area of applied harmonic analysis, where a new notion called chromatic derivatives has recently been introduced in communication engineering. 

The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6, 2014. During the event, participants honored the memory of Cora Sadosky―a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional mathematician and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.

✦ Table of Contents

Front Matter....Pages i-xvi
Front Matter....Pages 1-1
Cora Sadosky: Her Mathematics, Mentorship, and Professional Contributions....Pages 3-24
Cora’s Scholarly Work: Publications According to MathSciNet....Pages 25-28
Remembering Cora Sadosky....Pages 29-52
Front Matter....Pages 53-53
Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey....Pages 55-121
Victor Shapiro and the Theory of Uniqueness for Multiple Trigonometric Series....Pages 123-132
A Last Conversation with Cora....Pages 133-134
Fourier Multipliers of the Homogeneous Sobolev Space Ẇ 1,1 ....Pages 135-142
A Note on Nonhomogenous Weighted Div-Curl Lemmas....Pages 143-152
A Remark on Bilinear Square Functions....Pages 153-157
Unique Continuation for the Elasticity System and a Counterexample for Second-Order Elliptic Systems....Pages 159-178
Hardy Spaces of Holomorphic Functions for Domains in ℂ n with Minimal Smoothness....Pages 179-199
On the Preservation of Eccentricities of Monge–Ampère Sections....Pages 201-231
BMO: Oscillations, Self-Improvement, Gagliardo Coordinate Spaces, and Reverse Hardy Inequalities....Pages 233-274
Besov Spaces, Symbolic Calculus, and Boundedness of Bilinear Pseudodifferential Operators....Pages 275-305
Metric Characterizations of Some Classes of Banach Spaces....Pages 307-347
On the IVP for the k-Generalized Benjamin–Ono Equation....Pages 349-371