Laguerre Calculus And Its Applications On The Heisenberg Group
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Laguerre Calculus And Its Applications On The Heisenberg Group
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Author : Carlos A. Berenstein
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Laguerre Calculus And Its Applications On The Heisenberg Group written by Carlos A. Berenstein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
For nearly two centuries, the relation between analytic functions of one complex variable, their boundary values, harmonic functions, and the theory of Fourier series has been one of the central topics of study in mathematics. The topic stands on its own, yet also provides very useful mathematical applications. This text provides a self-contained introduction to the corresponding questions in several complex variables: namely, analysis on the Heisenberg group and the study of the solutions of the boundary Cauchy-Riemann equations. In studying this material, readers are exposed to analysis in non-commutative compact and Lie groups, specifically the rotation group and the Heisenberg groups-both fundamental in the theory of group representations and physics. Introduced in a concrete setting are the main ideas of the Calderón-Zygmund-Stein school of harmonic analysis. Also considered in the book are some less conventional problems of harmonic and complex analysis, in particular, the Morera and Pompeiu problems for the Heisenberg group, which relates to questions in optics, tomography, and engineering. The book was borne of graduate courses and seminars held at the University of Maryland (College Park), the University of Toronto (ON), Georgetown University (Washington, DC), and the University of Georgia (Athens). Readers should have an advanced undergraduate understanding of Fourier analysis and complex analysis in one variable.
Recent Developments In Operator Theory Mathematical Physics And Complex Analysis
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Author : Daniel Alpay
language : en
Publisher: Springer Nature
Release Date : 2023-04-11
Recent Developments In Operator Theory Mathematical Physics And Complex Analysis written by Daniel Alpay and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-11 with Mathematics categories.
This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.
Geometric Analysis On The Heisenberg Group And Its Generalizations
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Author : Ovidiu Calin
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-06-30
Geometric Analysis On The Heisenberg Group And Its Generalizations written by Ovidiu Calin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-30 with Mathematics categories.
The Sub Laplacian Operators Of Some Model Domains
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Author : Der-Chen Chang
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-08-01
The Sub Laplacian Operators Of Some Model Domains written by Der-Chen Chang and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-01 with Mathematics categories.
The book constructs explicitly the fundamental solution of the sub-Laplacian operator for a family of model domains in Cn+1. This type of domain is a good point-wise model for a Cauchy-Rieman (CR) manifold with diagonalizable Levi form. Qualitative results for such operators have been studied extensively, but exact formulas are difficult to derive. Exact formulas are closely related to the underlying geometry and lead to equations of classical types such as hypergeometric equations and Whittaker’s equations.
The Mathematical Legacy Of Leon Ehrenpreis
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Author : Irene Sabadini
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-23
The Mathematical Legacy Of Leon Ehrenpreis written by Irene Sabadini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-23 with Mathematics categories.
Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and far reaching understanding of the Radon transform, and offered new insights in integral geometry. Leon Ehrenpreis died in 2010, and this volume collects writings in his honor by a cadre of distinguished mathematicians, many of which were his collaborators.
Clifford Algebras
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Author : Rafal Ablamowicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Clifford Algebras written by Rafal Ablamowicz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to analysis, geometry, mathematical structures, physics, and applications in engineering. While the papers collected in this volume require that the reader possess a solid knowledge of appropriate background material, they lead to the most current research topics. With its wide range of topics, well-established contributors, and excellent references and index, this book will appeal to graduate students and researchers.
Potentials And Partial Differential Equations
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Author : Suzanne Lenhart
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-05-22
Potentials And Partial Differential Equations written by Suzanne Lenhart and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-22 with Mathematics categories.
This volume is dedicated to the legacy of David R. Adams (1941-2021) and discusses calculus of variations, functional - harmonic - potential analysis, partial differential equations, and their applications in modeling, mathematical physics, and differential - integral geometry.
Trends In Probability And Related Analysis Proceedings Of Sap 98
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Author : N Kono
language : en
Publisher: World Scientific
Release Date : 1999-10-19
Trends In Probability And Related Analysis Proceedings Of Sap 98 written by N Kono and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-10-19 with categories.
This proceedings volume reflects the current interest in and future direction of probability theory and related theory of analysis and statistics. It contains 2 survey papers and 21 contributed papers.
Harmonic Analysis Signal Processing And Complexity
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Author : Irene Sabadini
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-16
Harmonic Analysis Signal Processing And Complexity written by Irene Sabadini and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-16 with Mathematics categories.
Carlos A. Berenstein has had a profound influence on scholars and practitioners alike amid a distinguished mathematical career spanning nearly four decades. His uncommon capability of adroitly moving between these parallel worlds is demonstrated by the breadth of his research interests, from his early theoretical work on interpolation in spaces of entire functions with growth conditions and residue theory to his later work on deconvolution and its applications to issues ranging from optics to the study of blood flow. This volume, which celebrates his sixtieth birthday, reflects the state-of-the-art in these areas. Original articles and survey articles, all refereed, cover topics in harmonic and complex analysis, as well as more applied work in signal processing.
Harmonic Analysis Of Mean Periodic Functions On Symmetric Spaces And The Heisenberg Group
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Author : Valery V. Volchkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-13
Harmonic Analysis Of Mean Periodic Functions On Symmetric Spaces And The Heisenberg Group written by Valery V. Volchkov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-13 with Mathematics categories.
The theory of mean periodic functions is a subject which goes back to works of Littlewood, Delsarte, John and that has undergone a vigorous development in recent years. There has been much progress in a number of problems concerning local - pects of spectral analysis and spectral synthesis on homogeneous spaces. The study oftheseproblemsturnsouttobecloselyrelatedtoavarietyofquestionsinharmonic analysis, complex analysis, partial differential equations, integral geometry, appr- imation theory, and other branches of contemporary mathematics. The present book describes recent advances in this direction of research. Symmetric spaces and the Heisenberg group are an active ?eld of investigation at 2 the moment. The simplest examples of symmetric spaces, the classical 2-sphere S 2 and the hyperbolic plane H , play familiar roles in many areas in mathematics. The n Heisenberg groupH is a principal model for nilpotent groups, and results obtained n forH may suggest results that hold more generally for this important class of Lie groups. The purpose of this book is to develop harmonic analysis of mean periodic functions on the above spaces.