Subelliptic Operators On Lie Groups
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Subelliptic Operators On Lie Groups
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Author : A. F. M. ter Elst
language : en
Publisher:
Release Date : 1991
Subelliptic Operators On Lie Groups written by A. F. M. ter Elst and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Lie groups categories.
Subelliptic Operators On Lie Groups
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Author : Ola Bratteli
language : en
Publisher:
Release Date : 1992
Subelliptic Operators On Lie Groups written by Ola Bratteli and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Lie groups categories.
Elliptic Operators And Lie Groups
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Author : Derek W. Robinson
language : en
Publisher:
Release Date : 1991
Elliptic Operators And Lie Groups written by Derek W. Robinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Elliptic operators arise naturally in several different mathematical settings, notably in the representation theory of Lie groups, the study of evolution equations, and the examination of Riemannian manifolds. This book develops the basic theory of elliptic operators on Lie groups and thereby extends the conventional theory of parabolic evolution equations to a natural noncommutative context. In order to achieve this goal, the author presents a synthesis of ideas from partial differential equations, harmonic analysis, functional analysis, and the theory of Lie groups. He begins by discussing the abstract theory of general operators with complex coefficients before concentrating on the central case of second-order operators with real coefficients. A full discussion of second-order subelliptic operators is also given. Prerequisites are a familiarity with basic semigroup theory, the elementary theory of Lie groups, and a firm grounding in functional analysis as might be gained from the first year of a graduate course.
Analysis On Lie Groups With Polynomial Growth
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Author : Nick Dungey
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analysis On Lie Groups With Polynomial Growth written by Nick Dungey 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.
Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory of second-order, right invariant, elliptic operators on a large class of manifolds: Lie groups with polynomial growth. In systematically developing the analytic and algebraic background on Lie groups with polynomial growth, it is possible to describe the large time behavior for the semigroup generated by a complex second-order operator with the aid of homogenization theory and to present an asymptotic expansion. Further, the text goes beyond the classical homogenization theory by converting an analytical problem into an algebraic one. This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory.
Heat Kernels For Elliptic And Sub Elliptic Operators
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Author : Ovidiu Calin
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-10
Heat Kernels For Elliptic And Sub Elliptic Operators written by Ovidiu Calin 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 2010-10-10 with Mathematics categories.
This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evolution phenomena and diffusion processes. Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure and applied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators.
Elliptic Operators On Lie Groups
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Author : A. F. M. ter Elst
language : en
Publisher:
Release Date : 1995
Elliptic Operators On Lie Groups written by A. F. M. ter Elst and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Lie groups categories.
Quantum And Non Commutative Analysis
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Author : Huzihiro Araki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Quantum And Non Commutative Analysis written by Huzihiro Araki 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 2013-04-17 with Science categories.
In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc. on the side of mathematics, quantum field theory and statistical mechanics on the side of mathematical physics. The new development is characterized by very strong relations and interactions between different research areas which were hitherto considered as remotely related. Focussing on these new developments in mathematical physics and theory of operator algebras, the International Oji Seminar on Quantum Analysis was held at the Kansai Seminar House, Kyoto, JAPAN during June 25-29, 1992 by a generous sponsorship of the Japan Society for the Promotion of Science and the Fujihara Foundation of Science, as a workshop of relatively small number of (about 50) invited participants. This was followed by an open Symposium at RIMS, described below by its organizer, A. Kishimoto. The Oji Seminar began with two key-note addresses, one by V.F.R. Jones on Spin Models in Knot Theory and von Neumann Algebras and by A. Jaffe on Where Quantum Field Theory Has Led. Subsequently topics such as Subfactors and Sector Theory, Solvable Models of Statistical Mechanics, Quantum Field Theory, Quantum Groups, and Renormalization Group Ap proach, are discussed. Towards the end, a panel discussion on Where Should Quantum Analysis Go? was held.
Asymptotics Of Periodic Subelliptic Operators
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Author :
language : en
Publisher:
Release Date : 1992
Asymptotics Of Periodic Subelliptic Operators written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Elliptic operators categories.
Nilpotent Lie Groups
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Author : Roe W. Goodman
language : en
Publisher: Springer
Release Date : 2006-11-15
Nilpotent Lie Groups written by Roe W. Goodman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Algebraic Groups And Lie Groups
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Author : Gus Lehrer
language : en
Publisher: Cambridge University Press
Release Date : 1997-01-23
Algebraic Groups And Lie Groups written by Gus Lehrer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-23 with Mathematics categories.
This volume contains original research articles by many of the world's leading researchers in algebraic and Lie groups. Its inclination is algebraic and geometic, although analytical aspects are included. The central theme reflects the interests of R. W. Richardson, viz connections between representation theory and the structure and geometry of algebraic groups. All workers on algebraic and Lie groups will find that this book contains a wealth of interesting material.