[PDF] Complex Analysis And Special Topics In Harmonic Analysis

Complex Analysis and Special Topics in Harmonic Analysis PDF
Author: Carlos A. Berenstein
Publisher: Springer Science & Business Media
ISBN: 1461384451
Size: 34.10 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 482
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Complex Analysis And Special Topics In Harmonic Analysis

by Carlos A. Berenstein, release date 2012-12-06, Complex Analysis And Special Topics In Harmonic Analysis Books available in PDF, EPUB, Mobi Format. Download Complex Analysis And Special Topics In Harmonic Analysis books, A companion volume to the text "Complex Variables: An Introduction" by the same authors, this book further develops the theory, continuing to emphasize the role that the Cauchy-Riemann equation plays in modern complex analysis. Topics considered include: Boundary values of holomorphic functions in the sense of distributions; interpolation problems and ideal theory in algebras of entire functions with growth conditions; exponential polynomials; the G transform and the unifying role it plays in complex analysis and transcendental number theory; summation methods; and the theorem of L. Schwarz concerning the solutions of a homogeneous convolution equation on the real line and its applications in harmonic function theory.




[PDF] Topics In Complex Analysis And Operator Theory

Topics in Complex Analysis and Operator Theory PDF
Author: Oscar Blasco
Publisher: American Mathematical Soc.
ISBN: 0821852752
Size: 73.99 MB
Format: PDF, Docs
Category : Analytic functions
Languages : en
Pages : 252
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Topics In Complex Analysis And Operator Theory

by Oscar Blasco, release date 2012, Topics In Complex Analysis And Operator Theory Books available in PDF, EPUB, Mobi Format. Download Topics In Complex Analysis And Operator Theory books, This book contains the lecture notes as well as some invited papers presented at the Third Winter School in Complex Analysis, Operator Theory and Applications held February 2-5, 2010, in Valencia, Spain. The book is divided into two parts. The first is an extended self-contained version of the mini-courses taught at the School. The papers in this first part are: Notes on real analytic functions and classical operators, by Pawel Domanski; Shining a Hilbertian lamp on the bidisk, by John E. McCarthy; Selected problems in perturbation theory, by Vladimir V. Peller; and Composition operators on Hardy-Orlicz spaces, by Luis Rodriguez-Piazza. The second part consists of several research papers on recent advances in the area and some survey articles of an expository character. The articles in this second part are: Remarks on weighted mixed norm spaces, by O. Blasco; Interpolation subspaces of $L^1$ of a vector measure and norm inequalities for the integration operator, by J.M. Calabuig, J. Rodriguez, and E.A. Sanchez-Perez; On the spectra of algebras of analytic functions, by D. Carando, D. Garcia, M. Maestre, and P. Sevilla-Peris; Holomorphic self-maps of the disk intertwining two linear fractional maps, by M.D. Contreras, S. Diaz-Madrigal, M.J. Martin, and D. Vukotic; ABC-type estimates via Garsia-type norms, by K.M. Dyakonov; and Volterra type operators on Bergman spaces with exponential weights, by J. Pau and J.A. Pelaez. The topics selected for the mini-courses cover several aspects of complex analysis and operator theory that play important roles in understanding connections between different areas that are considered in fashion these days. This part is aimed at graduate students and young researchers. The courses are self-contained, focusing on those aspects that are basic and that can lead the readers to a quick understanding of the theories presented in each topic. They start with the classical results and reach a selection of open problems in each case. The research and survey articles are aimed at young researchers in the area, as well as post-doc and senior researchers interested in complex analysis and operator theory. This book is published in cooperation with Real Sociedad Matematica Espanola.




[PDF] Complex Analysis Harmonic Analysis And Applications

Complex Analysis  Harmonic Analysis and Applications PDF
Author: Robert Deville
Publisher: CRC Press
ISBN: 9780582286986
Size: 26.83 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 280
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Complex Analysis Harmonic Analysis And Applications

by Robert Deville, release date 1996-04-30, Complex Analysis Harmonic Analysis And Applications Books available in PDF, EPUB, Mobi Format. Download Complex Analysis Harmonic Analysis And Applications books, Multivariable complex analysis and harmonic analysis provide efficient techniques to study many applied mathematical problems. The main objective of a conference held in Bordeaux in June 1995, in honour of Professor Roger Gay, was to connect these mathematical fields with some of their applications. This was also the guideline for the fourteen contributions collected in this volume. Besides presenting new results, each speaker made a substantial effort in order to present an up to date survey of his field of research. All the subjects presented here are very active domains of research: integral geometry (with its relation to X-ray tomography), classical harmonic analysis and orthogonal polynomials, pluricomplex potential theory (with its deep connection with polynomial approximation), complex analytic methods in the theory of partial differentiable operators with constant coefficients (in the spirit of those initiated by Leon Ehrenpreis), Calderon-Zygmund operators and nonlinear operators, oscillatory integrals and resonance, and finally multivariable residue theory in its most recent developments. It is hoped that the reader will find enough insight in the different survey papers presented here to become involved with one of these subjects or to pursue further applications.




[PDF] Harmonic Analysis Signal Processing And Complexity

Harmonic Analysis  Signal Processing  and Complexity PDF
Author: Irene Sabadini
Publisher: Springer Science & Business Media
ISBN: 9780817644161
Size: 67.42 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 162
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Harmonic Analysis Signal Processing And Complexity

by Irene Sabadini, release date 2008-12-16, Harmonic Analysis Signal Processing And Complexity Books available in PDF, EPUB, Mobi Format. Download Harmonic Analysis Signal Processing And Complexity books, * Original articles and survey articles in honor of the sixtieth birthday of Carlos A. Berenstein reflect his diverse research interests from interpolation to residue theory to deconvolution and its applications to issues ranging from optics to the study of blood flow * Contains both theoretical papers in harmonic and complex analysis, as well as more applied work in signal processing * Top-notch contributors in their respective fields




[PDF] Bergman Spaces And Related Topics In Complex Analysis

Bergman Spaces and Related Topics in Complex Analysis PDF
Author: Boris Korenblum
Publisher: American Mathematical Soc.
ISBN: 0821837125
Size: 24.85 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 205
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Bergman Spaces And Related Topics In Complex Analysis

by Boris Korenblum, release date 2006, Bergman Spaces And Related Topics In Complex Analysis Books available in PDF, EPUB, Mobi Format. Download Bergman Spaces And Related Topics In Complex Analysis books, This volume grew out of a conference in honor of Boris Korenblum on the occasion of his 80th birthday, held in Barcelona, Spain, November 20-22, 2003. The book is of interest to researchers and graduate students working in the theory of spaces of analytic function, and, in particular, in the theory of Bergman spaces.




[PDF] Mathematical Reviews

Mathematical Reviews PDF
Author:
Publisher:
ISBN:
Size: 75.77 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages :
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Mathematical Reviews

by , release date 2001, Mathematical Reviews Books available in PDF, EPUB, Mobi Format. Download Mathematical Reviews books,




[PDF] Topics In Complex Analysis

Topics in Complex Analysis PDF
Author: Mats Andersson
Publisher: Springer Science & Business Media
ISBN: 9780387947549
Size: 74.25 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 157
View: 2613

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Topics In Complex Analysis

by Mats Andersson, release date 1996-11-15, Topics In Complex Analysis Books available in PDF, EPUB, Mobi Format. Download Topics In Complex Analysis books, This book is an outgrowth of lectures given on several occasions at Chalmers University of Technology and Goteborg University during the last ten years. As opposed to most introductory books on complex analysis, this one as sumes that the reader has previous knowledge of basic real analysis. This makes it possible to follow a rather quick route through the most fundamen tal material on the subject in order to move ahead to reach some classical highlights (such as Fatou theorems and some Nevanlinna theory), as well as some more recent topics (for example, the corona theorem and the HI_ BMO duality) within the time frame of a one-semester course. Sections 3 and 4 in Chapter 2, Sections 5 and 6 in Chapter 3, Section 3 in Chapter 5, and Section 4 in Chapter 7 were not contained in my original lecture notes and therefore might be considered special topics. In addition, they are completely independent and can be omitted with no loss of continuity. The order of the topics in the exposition coincides to a large degree with historical developments. The first five chapters essentially deal with theory developed in the nineteenth century, whereas the remaining chapters contain material from the early twentieth century up to the 1980s. Choosing methods of presentation and proofs is a delicate task. My aim has been to point out connections with real analysis and harmonic anal ysis, while at the same time treating classical complex function theory.