Finite And Infinite Dimensional Analysis In Honor Of Leonard Gross

Author : Analysis on Infinit Ams Special Session,Hui-Hsiung Kuo,Ambar Sengupta
Publisher : American Mathematical Soc.
Page : 224 pages
File Size : 54,5 Mb
Release : 2003
Category : Mathematics
ISBN : 9780821832028

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Finite and Infinite Dimensional Analysis in Honor of Leonard Gross by Analysis on Infinit Ams Special Session,Hui-Hsiung Kuo,Ambar Sengupta Pdf

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' 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' work and permeate diverse fields. Topics of this title 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.

Author : Palle Jorgensen,James Tian
Publisher : World Scientific
Page : 253 pages
File Size : 50,7 Mb
Release : 2021-01-15
Category : Mathematics
ISBN : 9789811225796

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Infinite-dimensional Analysis: Operators In Hilbert Space; Stochastic Calculus Via Representations, And Duality Theory by Palle Jorgensen,James Tian Pdf

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.

Author : Habib Ouerdiane,Abdessatar Barhoumi
Publisher : World Scientific
Page : 314 pages
File Size : 49,9 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814295420

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Quantum Probability and Infinite Dimensional Analysis by Habib Ouerdiane,Abdessatar Barhoumi Pdf

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

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 49,7 Mb
Release : 2024-06-01
Category : Electronic
ISBN : 9789814465632

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Quantum Probability and Infinite Dimensional Analysis by Anonim Pdf

Author : Karl-Hermann Neeb,Arturo Pianzola
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 54,7 Mb
Release : 2010-10-17
Category : Mathematics
ISBN : 9780817647414

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Developments and Trends in Infinite-Dimensional Lie Theory by Karl-Hermann Neeb,Arturo Pianzola Pdf

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.

Author : R. Quezada
Publisher : World Scientific
Page : 288 pages
File Size : 50,7 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812835277

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Quantum Probability and Related Topics by R. Quezada Pdf

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.

Author : Benedict Baur
Publisher : Springer Science & Business
Page : 198 pages
File Size : 53,9 Mb
Release : 2014-04-25
Category : Mathematics
ISBN : 9783658058296

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Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection by Benedict Baur Pdf

Benedict Baur presents modern functional analytic methods for construction and analysis of Feller processes in general and diffusion processes in particular. Topics covered are: Construction of Lp-strong Feller processes using Dirichlet form methods, regularity for solutions of elliptic boundary value problems, construction of elliptic diffusions with singular drift and reflection, Skorokhod decomposition and applications to Mathematical Physics like finite particle systems with singular interaction. Emphasize is placed on the handling of singular drift coefficients, as well as on the discussion of point wise and path wise properties of the constructed processes rather than just the quasi-everywhere properties commonly known from the general Dirichlet form theory.

Author : Motoko Kotani
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 49,7 Mb
Release : 2004
Category : Geometry, Differential
ISBN : 9780821833513

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Discrete Geometric Analysis by Motoko Kotani Pdf

This book is a collection of papers from the proceedings of the first symposium of the Japan Association for Mathematical Sciences. Topics covered center around problems of geometric analysis in relation to heat kernels, random walks, and Poisson boundaries on discrete groups, graphs, and other combinatorial objects. The material is suitable for graduate students and research mathematicians interested in heat kernels and random works on groups and graphs.

Author : Noncompact Va Brezis-Browder Conference,Brezis-Browder Conference, Noncompact Variational Problems and General Relativity,Abbas Bahri,Sergiu Klainerman,Michael Vogelius
Publisher : American Mathematical Soc.
Page : 252 pages
File Size : 49,7 Mb
Release : 2004
Category : Science
ISBN : 9780821836354

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Noncompact Problems at the Intersection of Geometry, Analysis, and Topology by Noncompact Va Brezis-Browder Conference,Brezis-Browder Conference, Noncompact Variational Problems and General Relativity,Abbas Bahri,Sergiu Klainerman,Michael Vogelius Pdf

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. The material is suitable for graduate students and researchers interested in problems in analysis and differential equations on noncompact manifolds.

Author : Christopher R. Heil,Palle E. T. Jørgensen,David R. Larson
Publisher : American Mathematical Soc.
Page : 342 pages
File Size : 42,5 Mb
Release : 2004
Category : Mathematics
ISBN : 9780821833803

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Wavelets, Frames and Operator Theory by Christopher R. Heil,Palle E. T. Jørgensen,David R. Larson Pdf

In the past two decades, wavelets and frames have emerged as significant tools in mathematics and technology. They interact with harmonic analysis, operator theory, and a host of other applications. This book grew out of a special session on Wavelets, Frames and Operator Theory held at the Joint Mathematics Meetings in Baltimore and a National Science Foundation-sponsored workshop held at the University of Maryland. Both events were associated with the NSF Focused Research Group. The volume includes both theoretical and applied papers highlighting the many facets of these interconnected topics. It is suitable for graduate students and researchers interested in wavelets and their applications.

Author : International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms (2002,International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms (2002 : Universidad de Talca)
Publisher : American Mathematical Soc.
Page : 350 pages
File Size : 45,5 Mb
Release : 2004
Category : Mathematics
ISBN : 9780821834411

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Algebraic and Arithmetic Theory of Quadratic Forms by International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms (2002,International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms (2002 : Universidad de Talca) Pdf

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.

Author : David E. Radford,Category Theory AMS Special Session on Diagrammatic Morphisms in Algebra,David N. Yetter
Publisher : American Mathematical Soc.
Page : 232 pages
File Size : 44,5 Mb
Release : 2003
Category : Categories (Mathematics)
ISBN : 9780821827949

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Diagrammatic Morphisms and Applications by David E. Radford,Category Theory AMS Special Session on Diagrammatic Morphisms in Algebra,David N. Yetter Pdf

The technique of diagrammatic morphisms is an important ingredient in comprehending and visualizing certain types of categories with structure. It was widely used in this capacity in many areas of algebra, low-dimensional topology and physics. It was also applied to problems in classical and quantum information processing and logic. This volume contains articles based on talks at the Special Session, ``Diagrammatic Morphisms in Algebra, Category Theory, and Topology'', at the AMS Sectional Meeting in San Francisco. The articles describe recent achievements in several aspects of diagrammatic morphisms and their applications. Some of them contain detailed expositions on various diagrammatic techniques. The introductory article by D. Yetter is a thorough account of the subject in a historical perspective.

Author : International Conference on Complex Analysis and Dynamical Systems
Publisher : American Mathematical Soc.
Page : 278 pages
File Size : 43,6 Mb
Release : 2004
Category : Differentiable dynamical systems
ISBN : 9780821836866

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Complex Analysis and Dynamical Systems by International Conference on Complex Analysis and Dynamical Systems Pdf

This book contains contributions from the participants of an International Conference on Complex Analysis and Dynamical Systems. The papers collected here are devoted to various topics in complex analysis and dynamical systems, ranging from properties of holomorphic mappings to attractors in hyperbolic spaces. Overall, these selections provide an overview of activity in analysis at the outset of the twenty-first century. The book is suitable for graduate students and researchers in complex analysis and related problems of dynamics. With this volume, the Israel Mathematical Conference Proceedings are now published as a subseries of the AMS Contemporary Mathematics series.

Author : Pascal Auscher,T. Coulhon,Alexander Grigoryan
Publisher : American Mathematical Soc.
Page : 434 pages
File Size : 42,9 Mb
Release : 2003
Category : Elliptic operators
ISBN : 9780821833834

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Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces by Pascal Auscher,T. Coulhon,Alexander Grigoryan Pdf

This volume contains the expanded lecture notes of courses taught at the Emile Borel Centre of the Henri Poincare Institute (Paris). In the book, leading experts introduce recent research in their fields. The unifying theme is the study of heat kernels in various situations using related geometric and analytic tools. Topics include analysis of complex-coefficient elliptic operators, diffusions on fractals and on infinite-dimensional groups, heat kernel and isoperimetry on Riemannian manifolds, heat kernels and infinite dimensional analysis, diffusions and Sobolev-type spaces on metric spaces, quasi-regular mappings and $p$-Laplace operators, heat kernel and spherical inversion on $SL 2(C)$, random walks and spectral geometry on crystal lattices, isoperimetric and isocapacitary inequalities, and generating function techniques for random walks on graphs. This volume is suitable for graduate students and research mathematicians interested in random processes and analysis on manifolds.

Author : Jorgensen Palle,Tian Feng
Publisher : World Scientific
Page : 564 pages
File Size : 52,5 Mb
Release : 2017-01-24
Category : Mathematics
ISBN : 9789813202146

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Non-commutative Analysis by Jorgensen Palle,Tian Feng Pdf

The book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret "non-commutative analysis" broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator algebras (C* algebras and von Neumann algebras.) A second theme is commutative and non-commutative harmonic analysis, spectral theory, operator theory and their applications. The list of topics includes shift invariant spaces, group action in differential geometry, and frame theory (over-complete bases) and their applications to engineering (signal processing and multiplexing), projective multi-resolutions, and free probability algebras. The book serves as an accessible introduction, offering a timeless presentation, attractive and accessible to students, both in mathematics and in neighboring fields.