Ecent Developments In Real And Harmonic Analysis
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Recent Developments in Real and Harmonic Analysis
Author: Carlos Cabrelli
language: en
Publisher: Springer Science & Business Media
Release Date: 2010-03-10
A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis. The work begins with a chronological description of Segovia’s mathematical life, highlighting his original ideas and their evolution. Also included are surveys dealing with Carlos’ favorite topics, and PDE works written by students and colleagues close to Segovia whose careers were in some way influenced by him. Specific topics covered include: Vector-valued singular integral equations; Harmonic analysis related to Hermite expansions; Gas flow in porous media; Global well-posedness of the KPI Equation; Monge–Ampère type equations and applications; Spaces of homogeneous type; Hardy and Lipschitz spaces; One-sided operators. Contributors: H. Aimar, A. Bonami, O. Blasco, L.A. Caffarelli, S. Chanillo, J. Feuto, L. Forzani, C.E. Gutíerrez, E. Harboure, A.L. Karakhanyan, C.E. Kenig, R.A. Macías, J.J. Manfredi, F.J. Martín-Reyes, P. Ortega, R. Scotto, A. de la Torre, J.L. Torrea.
Recent Developments in Harmonic Analysis and its Applications
Author: Shaoming Guo
language: en
Publisher: American Mathematical Society
Release Date: 2024-01-24
This volume contains the proceedings of the virtual AMS Special Session on Harmonic Analysis, held from March 26–27, 2022. Harmonic analysis has gone through rapid developments in the past decade. New tools, including multilinear Kakeya inequalities, broad-narrow analysis, polynomial methods, decoupling inequalities, and refined Strichartz inequalities, are playing a crucial role in resolving problems that were previously considered out of reach. A large number of important works in connection with geometric measure theory, analytic number theory, partial differential equations, several complex variables, etc., have appeared in the last few years. This book collects some examples of this work.
Recent Developments in Switching Theory
Electrical Science Series: Recent Developments in Switching Theory covers the progress in the study of the switching theory. The book discusses the simplified proof of Post's theorem on completeness of logic primitives; the role of feedback in combinational switching circuits; and the systematic procedure for the design of Lupanov decoding networks. The text also describes the classical results on counting theorems and their application to the classification of switching functions under different notions of equivalence, including linear and affine equivalences. The development of abstract harmonic analysis of combinational switching functions; the theory of universal logic modules, methods of their construction, and upper bounds on the input terminals; and cellular logic are also considered. The book further tackles the systematic techniques for the realization of multi-output logic function by means of multirail cellular cascades; the programmable cellular logic; and the logical design of programmable arrays. Electrical engineers, electronics engineers, computer professionals, and student taking related courses will find the book invaluable.