Representation Theory And Complex Analysis

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Representation Theory And Complex Analysis

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Author : Michael Cowling
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-27

Representation Theory And Complex Analysis written by Michael Cowling 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 2008-02-27 with Mathematics categories.

Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.

Representation Theory Complex Analysis And Integral Geometry

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Author : Bernhard Krötz
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-13

Representation Theory Complex Analysis And Integral Geometry written by Bernhard Krötz 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 2011-12-13 with Mathematics categories.

This volume targets graduate students and researchers in the fields of representation theory, automorphic forms, Hecke algebras, harmonic analysis, number theory.

Applications Of Agent Technology In Traffic And Transportation

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Author : Franziska Klügl
language : en
Publisher:
Release Date : 2005

Applications Of Agent Technology In Traffic And Transportation written by Franziska Klügl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Electronic books categories.

Advances In Representation Theory Complex Analysis And Integral Geometry

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Author : Bernhard Krötz
language : en
Publisher: Birkhäuser
Release Date : 2021-01-07

Advances In Representation Theory Complex Analysis And Integral Geometry written by Bernhard Krötz and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-07 with Mathematics categories.

This volume consists of contributions invited articles from the MPI-summer program on representation theory in 2007. There will be an even mix of high quality overview articles and original research contributions. The targeted audience is graduate students and researchers in representation theory, harmonic analysis, automorphic forms, number theory, and locally symmetric spaces.

Representation Theory And Complex Analysis

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Author : Michael Cowling
language : en
Publisher: Springer
Release Date : 2008-02-22

Representation Theory And Complex Analysis written by Michael Cowling and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-22 with Mathematics categories.

Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.

Representation Theory And Complex Analysis

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Author : Michael Cowling
language : en
Publisher:
Release Date : 2008-08-12

Representation Theory And Complex Analysis written by Michael Cowling and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-12 with categories.

A Journey Through Representation Theory

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Author : Caroline Gruson
language : en
Publisher: Springer
Release Date : 2018-10-23

A Journey Through Representation Theory written by Caroline Gruson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-23 with Mathematics categories.

This text covers a variety of topics in representation theory and is intended for graduate students and more advanced researchers who are interested in the field. The book begins with classical representation theory of finite groups over complex numbers and ends with results on representation theory of quivers. The text includes in particular infinite-dimensional unitary representations for abelian groups, Heisenberg groups and SL(2), and representation theory of finite-dimensional algebras. The last chapter is devoted to some applications of quivers, including Harish-Chandra modules for SL(2). Ample examples are provided and some are revisited with a different approach when new methods are introduced, leading to deeper results. Exercises are spread throughout each chapter. Prerequisites include an advanced course in linear algebra that covers Jordan normal forms and tensor products as well as basic results on groups and rings.

Complex Analysis

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Author : Eberhard Freitag
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-17

Complex Analysis written by Eberhard Freitag 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 2006-01-17 with Mathematics categories.

All needed notions are developed within the book: with the exception of fundamentals which are presented in introductory lectures, no other knowledge is assumed Provides a more in-depth introduction to the subject than other existing books in this area Over 400 exercises including hints for solutions are included

Complex Analysis

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Author : Elias M. Stein
language : en
Publisher: Princeton University Press
Release Date : 2010-04-22

Complex Analysis written by Elias M. Stein and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-22 with Mathematics categories.

With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose proofs are generally short and quite illuminating: the Cauchy theorems, residues, analytic continuation, the argument principle. With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier transform treated by contour integration, the zeta function and the prime number theorem, and an introduction to elliptic functions culminating in their application to combinatorics and number theory. Thoroughly developing a subject with many ramifications, while striking a careful balance between conceptual insights and the technical underpinnings of rigorous analysis, Complex Analysis will be welcomed by students of mathematics, physics, engineering and other sciences. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Complex Analysis is the second, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

Complex Analysis

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Author : Jane P. Gilman
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-25

Complex Analysis written by Jane P. Gilman 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 2007-11-25 with Mathematics categories.

The authors’ aim here is to present a precise and concise treatment of those parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof of the Fundamental Theorem for functions of one complex variable. They discuss the many equivalent ways of understanding the concept of analyticity, and offer a leisure exploration of interesting consequences and applications. Readers should have had undergraduate courses in advanced calculus, linear algebra, and some abstract algebra. No background in complex analysis is required.