Tata Lectures On Theta Ii
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Tata Lectures On Theta Ii
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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-15
Tata Lectures On Theta Ii written by David Mumford 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 2012-04-15 with Mathematics categories.
The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg-de-Vries equations as well as other non-linear differential equations of mathematical physics. This book presents an explicit elementary construction of hyperelliptic Jacobian varieties and is a self-contained introduction to the theory of the Jacobians. It also ties together nineteenth-century discoveries due to Jacobi, Neumann, and Frobenius with recent discoveries of Gelfand, McKean, Moser, John Fay, and others. A definitive body of information and research on the subject of theta functions, this volume will be a useful addition to individual and mathematics research libraries.
Tata Lectures On Theta Ii
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Author : Mumford
language : en
Publisher:
Release Date : 1993
Tata Lectures On Theta Ii written by Mumford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Tata Lectures On Theta Iii
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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-22
Tata Lectures On Theta Iii written by David Mumford 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 2006-12-22 with Mathematics categories.
This volume is the third of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).
Tata Lectures On Theta Jacobian Theta Functions And Differential Equations
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Author : David Mumford
language : en
Publisher:
Release Date : 1983
Tata Lectures On Theta Jacobian Theta Functions And Differential Equations written by David Mumford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Functions, Theta categories.
Tata Lectures On Theta I
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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-25
Tata Lectures On Theta I written by David Mumford 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 2007-06-25 with Mathematics categories.
This volume contains the first two out of four chapters which are intended to survey a large part of the theory of theta functions. These notes grew out of a series of lectures given at the Tata Institute of Fundamental Research in the period October, 1978, to March, 1979, on which notes were taken and excellently written up by C. Musili and M. Nori. I subsequently lectured at greater length on the contents of Chapter III at Harvard in the fall of 1979 and at a Summer School in Montreal in August, 1980, and again notes were very capably put together by E. Previato and M. Stillman, respectively. Both the Tata Institute and the University of Montreal publish lecture note series in which I had promised to place write-ups of my lectures there. However, as the project grew, it became clear that it was better to tie all these results together, rearranging and consolidating the material, and to make them available from one place. I am very grateful to the Tata Institute and the University of Montreal for permission to do this, and to Birkhauser-Boston for publishing the final result. The first 2 chapters study theta functions strictly from the viewpoint of classical analysis. In particular, in Chapter I, my goal was to explain in the simplest cases why the theta functions attracted attention.
Tata Lectures On Theta
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Author : David Mumford
language : en
Publisher:
Release Date : 1983
Tata Lectures On Theta written by David Mumford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Tata Lectures On Theta I
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Author : David Mumford
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-27
Tata Lectures On Theta I written by David Mumford 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 2006-12-27 with Mathematics categories.
This volume is the first of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).
Lectures On Gaussian Integral Operators And Classical Groups
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Author : Yu. A. Neretin
language : en
Publisher: European Mathematical Society
Release Date : 2011
Lectures On Gaussian Integral Operators And Classical Groups written by Yu. A. Neretin and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This book is an elementary self-contained introduction to some constructions of representation theory and related topics of differential geometry and analysis. Topics covered include the theory of various Fourier-like integral operators such as Segal-Bargmann transforms, Gaussian integral operators in $L^2$ and in the Fock space, integral operators with theta-kernels, the geometry of real and $p$-adic classical groups and symmetric spaces. The heart of the book is the Weil representation of the symplectic group (real and complex realizations, relations with theta-functions and modular forms, $p$-adic and adelic constructions) and representations in Hilbert spaces of holomorphic functions of several complex variables. This book is addressed to graduate students and researchers in representation theory, differential geometry, and operator theory. Prerequisites are standard university courses in linear algebra, functional analysis, and complex analysis.
Superintegrability In Classical And Quantum Systems
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Author : P. Tempesta, P. Winternitz, J. Harnad, W. Miller, Jr., G. Pogosyan, and M. Rodriguez
language : en
Publisher: American Mathematical Soc.
Release Date :
Superintegrability In Classical And Quantum Systems written by P. Tempesta, P. Winternitz, J. Harnad, W. Miller, Jr., G. Pogosyan, and M. Rodriguez 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 with Mathematics categories.
Superintegrable systems are integrable systems (classical and quantum) that have more integrals of motion than degrees of freedom. Such systems have many interesting properties. This title is based on the Workshop on Superintegrability in Classical and Quantum Systems organized by the Centre de Recherches Mathematiques in Montreal (Quebec).
Recent Developments In Integrable Systems And Related Topics Of Mathematical Physics
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Author : Victor M. Buchstaber
language : en
Publisher: Springer
Release Date : 2018-12-30
Recent Developments In Integrable Systems And Related Topics Of Mathematical Physics written by Victor M. Buchstaber and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-30 with Science categories.
This volume, whose contributors include leading researchers in their field, covers a wide range of topics surrounding Integrable Systems, from theoretical developments to applications. Comprising a unique collection of research articles and surveys, the book aims to serve as a bridge between the various areas of Mathematics related to Integrable Systems and Mathematical Physics. Recommended for postgraduate students and early career researchers who aim to acquire knowledge in this area in preparation for further research, this book is also suitable for established researchers aiming to get up to speed with recent developments in the area, and may very well be used as a guide for further study.