Finite and Infinite Dimensional Analysis in Honor of Leonard Gross

Finite and Infinite Dimensional Analysis in Honor of Leonard Gross PDF Author: Analysis on Infinit Ams Special Session
Publisher: American Mathematical Soc.
ISBN: 0821832026
Category : Mathematics
Languages : en
Pages : 224

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Book Description
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.

Finite and Infinite Dimensional Analysis in Honor of Leonard Gross

Finite and Infinite Dimensional Analysis in Honor of Leonard Gross PDF Author: Analysis on Infinit Ams Special Session
Publisher: American Mathematical Soc.
ISBN: 0821832026
Category : Mathematics
Languages : en
Pages : 224

Get Book

Book Description
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.

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 PDF Author: Palle Jorgensen
Publisher: World Scientific
ISBN: 9811225796
Category : Mathematics
Languages : en
Pages : 253

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Book Description
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 PDF Author: Habib Ouerdiane
Publisher: World Scientific
ISBN: 9814295426
Category : Mathematics
Languages : en
Pages : 314

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Book Description
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 PDF Author:
Publisher:
ISBN: 9814465631
Category :
Languages : en
Pages :

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Book Description


Developments and Trends in Infinite-Dimensional Lie Theory

Developments and Trends in Infinite-Dimensional Lie Theory PDF Author: Karl-Hermann Neeb
Publisher: Springer Science & Business Media
ISBN: 0817647414
Category : Mathematics
Languages : en
Pages : 492

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Book Description
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 PDF Author: R. Quezada
Publisher: World Scientific
ISBN: 981283527X
Category : Mathematics
Languages : en
Pages : 288

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Book Description
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.

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

Elliptic Boundary Value Problems and Construction of Lp-Strong Feller Processes with Singular Drift and Reflection PDF Author: Benedict Baur
Publisher: Springer Science & Business
ISBN: 3658058293
Category : Mathematics
Languages : en
Pages : 198

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Book Description
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.

Discrete Geometric Analysis

Discrete Geometric Analysis PDF Author: Motoko Kotani
Publisher: American Mathematical Soc.
ISBN: 0821833510
Category : Geometry, Differential
Languages : en
Pages : 274

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Book Description
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.

Noncompact Problems at the Intersection of Geometry, Analysis, and Topology

Noncompact Problems at the Intersection of Geometry, Analysis, and Topology PDF Author: Noncompact Va Brezis-Browder Conference
Publisher: American Mathematical Soc.
ISBN: 0821836358
Category : Science
Languages : en
Pages : 252

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Book Description
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.

Wavelets, Frames and Operator Theory

Wavelets, Frames and Operator Theory PDF Author: Christopher R. Heil
Publisher: American Mathematical Soc.
ISBN: 0821833804
Category : Mathematics
Languages : en
Pages : 342

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Book Description
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.