Download or read book Complex Convexity and Analytic Functionals written by Mats Andersson and published by Springer Science & Business Media. This book was released on 2004-04-23 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Puts theory of complex linear convexity on a solid footing, and gives a survey of its status. Applications include the Fantappie transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations.
Download or read book Complex Convexity and Analytic Functionals II written by Mats Andersson and published by . This book was released on 2000 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Complex Convexity and Analytic Functionals written by Mats Andersson and published by Birkhäuser. This book was released on 2012-12-06 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappié transformation of analytic functionals, integral representation formulas, polynomial interpolation, and solutions to linear partial differential equations.
Download or read book Analysis Meets Geometry written by Mats Andersson and published by Birkhäuser. This book was released on 2017-09-04 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the memory of Mikael Passare, an outstanding Swedish mathematician who devoted his life to developing the theory of analytic functions in several complex variables and exploring geometric ideas first-hand. It includes several papers describing Mikael’s life as well as his contributions to mathematics, written by friends of Mikael’s who share his attitude and passion for science. A major section of the book presents original research articles that further develop Mikael’s ideas and which were written by his former students and co-authors. All these mathematicians work at the interface of analysis and geometry, and Mikael’s impact on their research cannot be underestimated. Most of the contributors were invited speakers at the conference organized at Stockholm University in his honor. This book is an attempt to express our gratitude towards this great mathematician, who left us full of energy and new creative mathematical ideas.
Download or read book Handbook of Complex Analysis written by Steven G. Krantz and published by CRC Press. This book was released on 2022-03-07 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: In spite of being nearly 500 years old, the subject of complex analysis is still today a vital and active part of mathematics. There are important applications in physics, engineering, and other aspects of technology. This Handbook presents contributed chapters by prominent mathematicians, including the new generation of researchers. More than a compilation of recent results, this book offers students an essential stepping-stone to gain an entry into the research life of complex analysis. Classes and seminars play a role in this process. More, though, is needed for further study. This Handbook will play that role. This book is also a reference and a source of inspiration for more seasoned mathematicians—both specialists in complex analysis and others who want to acquaint themselves with current modes of thought. The chapters in this volume are authored by leading experts and gifted expositors. They are carefully crafted presentations of diverse aspects of the field, formulated for a broad and diverse audience. This volume is a touchstone for current ideas in the broadly construed subject area of complex analysis. It should enrich the literature and point in some new directions.
Download or read book Complex Analysis and Dynamical Systems V written by Mark Lʹvovich Agranovskiĭ and published by American Mathematical Soc.. This book was released on 2013-06-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Fifth International Conference on Complex Analysis and Dynamical Systems, held from May 22-27, 2011, in Akko (Acre), Israel. The papers cover a wide variety of topics in complex analysis and partial differential
Download or read book Harmonic Analysis Partial Differential Equations Complex Analysis Banach Spaces and Operator Theory Volume 1 written by María Cristina Pereyra and published by Springer. This book was released on 2016-09-15 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Progress in Functional Analysis written by K.D. Bierstedt and published by Elsevier. This book was released on 1992-01-10 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes a collection of research articles in Functional Analysis, celebrating the occasion of Manuel Valdivia's sixtieth birthday. The papers included in the volume are based on the main lectures presented during the international functional analysis meeting held in Peñíscola (Valencia, Spain) in October 1990. During his career, Valdivia has made contributions to a wide variety of areas of Functional Analysis and his work has had a profound impact. A thorough appreciation of Valdivia's work is presented in J. Horváth's article. In honor of Valdivia's achievements, this volume presents more than twenty-five papers on topics related to his research (Banach spaces, operator ideals, tensor products, Fréchet, (DF) and (LF) spaces, distribution theory, infinite holomorphy etc.). While the majority of papers are research articles, survey articles are also included. The book covers a broad spectrum of interests in today's Functional Analysis and presents new results by leading specialists in the field.
Download or read book Singular Sets of Minimizers for the Mumford Shah Functional written by Guy David and published by Springer Science & Business Media. This book was released on 2005-03-22 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The main object under scrutiny is a free boundary K where the minimizer may have jumps. The book presents an extensive description of the known regularity properties of the singular sets K, and the techniques to get them. It is largely self-contained, and should be accessible to graduate students in analysis. The core of the book is composed of regularity results that were proved in the last ten years and which are presented in a more detailed and unified way.
Download or read book Advanced Topics in Mathematical Analysis written by Michael Ruzhansky and published by CRC Press. This book was released on 2019-01-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Topics in Mathematical Analysis is aimed at researchers, graduate students, and educators with an interest in mathematical analysis, and in mathematics more generally. The book aims to present theory, methods, and applications of the selected topics that have significant, useful relevance to contemporary research.
Download or read book Hyponormal Quantization of Planar Domains written by Björn Gustafsson and published by Springer. This book was released on 2017-09-29 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book exploits the classification of a class of linear bounded operators with rank-one self-commutators in terms of their spectral parameter, known as the principal function. The resulting dictionary between two dimensional planar shapes with a degree of shade and Hilbert space operators turns out to be illuminating and beneficial for both sides. An exponential transform, essentially a Riesz potential at critical exponent, is at the heart of this novel framework; its best rational approximants unveil a new class of complex orthogonal polynomials whose asymptotic distribution of zeros is thoroughly studied in the text. Connections with areas of potential theory, approximation theory in the complex domain and fluid mechanics are established. The text is addressed, with specific aims, at experts and beginners in a wide range of areas of current interest: potential theory, numerical linear algebra, operator theory, inverse problems, image and signal processing, approximation theory, mathematical physics.
Download or read book Convex Analysis written by Steven G. Krantz and published by CRC Press. This book was released on 2014-10-20 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics. Convex Analysis introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background on classical geometric theory which allows readers to obtain a glimpse of how modern mathematics is developed and how geometric ideas may be studied analytically. Featuring a user-friendly approach, the book contains copious examples and plenty of figures to illustrate the ideas presented. It also includes an appendix with the technical tools needed to understand certain arguments in the book, a tale of notation, and a thorough glossary to help readers with unfamiliar terms. This book is a definitive introductory text to the concept of convexity in the context of mathematical analysis and a suitable resource for students and faculty alike.
Download or read book Representation Theory and Automorphic Forms written by Toshiyuki Kobayashi and published by Springer Science & Business Media. This book was released on 2007-10-10 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.
Download or read book D Modules Perverse Sheaves and Representation Theory written by Ryoshi Hotta and published by Springer Science & Business Media. This book was released on 2007-11-07 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.
Download or read book Convexity Theory and its Applications in Functional Analysis written by L. Asimow and published by Elsevier. This book was released on 2014-06-28 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convexity Theory Appl Functional Analysis
Download or read book Strong Boundary Values Analytic Functionals and Nonlinear Paley Wiener Theory written by Jean-Pierre Rosay and published by American Mathematical Soc.. This book was released on 2001 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is intended for graduate students and research mathematicians interested in functional analysis, several complex variables, analytic spaces, and differential equations.
Download or read book Convexity Theory and Its Applications in Functional Analysis written by L. Asimow and published by Academic Press. This book was released on 1980 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Separation and polar calculus; Duality in ordered banach spacrs; Simples spaces; Complex function spaces; Convexity theory for C* algebras.
