Finite And Infinite Dimensional Analysis In Honor Of Leonard Gross


Finite And Infinite Dimensional Analysis In Honor Of Leonard Gross
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Finite And Infinite Dimensional Analysis In Honor Of Leonard Gross


Finite And Infinite Dimensional Analysis In Honor Of Leonard Gross
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Author : Hui-Hsiung Kuo
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Finite And Infinite Dimensional Analysis In Honor Of Leonard Gross written by Hui-Hsiung Kuo 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 2003 with Mathematics categories.


This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross's former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross's work and permeate diverse fields. Topics include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.



Infinite Dimensional Analysis Operators In Hilbert Space Stochastic Calculus Via Representations And Duality Theory


Infinite Dimensional Analysis Operators In Hilbert Space Stochastic Calculus Via Representations And Duality Theory
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Author : Palle Jorgensen
language : en
Publisher: World Scientific
Release Date : 2021-01-15

Infinite Dimensional Analysis Operators In Hilbert Space Stochastic Calculus Via Representations And Duality Theory written by Palle Jorgensen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-15 with Mathematics categories.


The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics.



Quantum Probability And Infinite Dimensional Analysis


Quantum Probability And Infinite Dimensional Analysis
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Author : Habib Ouerdiane
language : en
Publisher: World Scientific
Release Date : 2010

Quantum Probability And Infinite Dimensional Analysis written by Habib Ouerdiane and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


This is the proceedings of the 29th Conference on Quantum Probability and Infinite Dimensional Analysis, which was held in Hammamet, Tunisia.



Quantum Probability And Infinite Dimensional Analysis


Quantum Probability And Infinite Dimensional Analysis
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Author :
language : en
Publisher:
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Quantum Probability And Infinite Dimensional Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Developments And Trends In Infinite Dimensional Lie Theory


Developments And Trends In Infinite Dimensional Lie Theory
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Author : Karl-Hermann Neeb
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-17

Developments And Trends In Infinite Dimensional Lie Theory written by Karl-Hermann Neeb 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 2010-10-17 with Mathematics categories.


This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups. Contributors: B. Allison, D. Beltiţă, W. Bertram, J. Faulkner, Ph. Gille, H. Glöckner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova, K. Styrkas, K. Waldorf, and J.A. Wolf.



Quantum Probability And Related Topics


Quantum Probability And Related Topics
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Author : R. Quezada
language : en
Publisher: World Scientific
Release Date : 2008

Quantum Probability And Related Topics written by R. Quezada and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


This volume contains recent results in quantum probability and related topics. The contributions include peer-reviewed papers on interacting Fock space and orthogonal polynomials, quantum Markov semigroups, infinitely divisible processes, free probability, white noise, quantum filtering and control, quantum information, dilations, applications of quantum probability in physics, and quantum and classical models in biology. This diversity reflects the strong and constructive relations between quantum probability and different sectors of mathematics, physics, and other sciences and technologies.



Discrete Geometric Analysis


Discrete Geometric Analysis
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Author : Motoko Kotani
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Discrete Geometric Analysis written by Motoko Kotani 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 2004 with Mathematics categories.


Collects papers from the proceedings of the first symposium of the Japan Association for Mathematical Sciences. This book covers topics that center around problems of geometric analysis in relation to heat kernels, random walks, and Poisson boundaries on discrete groups, graphs, and other combinatorial objects.



Noncompact Problems At The Intersection Of Geometry Analysis And Topology


Noncompact Problems At The Intersection Of Geometry Analysis And Topology
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Author : Abbas Bahri
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Noncompact Problems At The Intersection Of Geometry Analysis And Topology written by Abbas Bahri 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 2004 with Mathematics categories.


This proceedings volume contains articles from the conference held at Rutgers University in honor of Haim Brezis and Felix Browder, two mathematicians who have had a profound impact on partial differential equations, functional analysis, and geometry. Mathematicians attending the conference had interests in noncompact variational problems, pseudo-holomorphic curves, singular and smooth solutions to problems admitting a conformal (or some group) invariance, Sobolev spaces on manifolds, and configuration spaces. One day of the proceedings was devoted to Einstein equations and related topics. Contributors to the volume include, among others, Sun-Yung A. Chang, Luis A. Caffarelli, Carlos E. Kenig, and Gang Tian. The material is suitable for graduate students and researchers interested in problems in analysis and differential equations on noncompact manifolds.



Wavelets Frames And Operator Theory


Wavelets Frames And Operator Theory
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Author : Palle E. T. Jørgensen
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Wavelets Frames And Operator Theory written by Palle E. T. Jørgensen 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 2004 with Mathematics categories.


Nineteen papers are presented from a special joint session held in conjunction with the American Mathematical Society's 2003 annual meeting in Baltimore, and a National Science Foundation workshop at the University of Maryland. The papers distinguish themselves by often including applications as wel



Algebraic And Arithmetic Theory Of Quadratic Forms


Algebraic And Arithmetic Theory Of Quadratic Forms
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Author : Ricardo Baeza
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Algebraic And Arithmetic Theory Of Quadratic Forms written by Ricardo Baeza 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 2004 with Mathematics categories.


This proceedings volume contains papers presented at the International Conference on the algebraic and arithmetic theory of quadratic forms held in Talca (Chile). The modern theory of quadratic forms has connections with a broad spectrum of mathematical areas including number theory, geometry, and K-theory. This volume contains survey and research articles covering the range of connections among these topics. The survey articles bring readers up-to-date on research and open problems in representation theory of integral quadratic forms, the algebraic theory of finite square class fields, and developments in the theory of Witt groups of triangulated categories. The specialized articles present important developments in both the algebraic and arithmetic theory of quadratic forms, as well as connections to geometry and K-theory. The volume is suitable for graduate students and research mathematicians interested in various aspects of the theory of quadratic forms.