DMCA. Copyrighted Work that you can Claim.
Base have 223 081 books.
Search: 


📙 Lie Theory: Harmonic Analysis on Symmetric Spaces—General Plancherel Theorems by Erik P. van den Ban (auth.), Jean-Philippe Anker, Bent Orsted (eds.) — free pdf


Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title Lie Theory, feature survey work and original results by well-established researchers in key areas of semisimple Lie theory.

Harmonic Analysis on Symmetric Spaces—General Plancherel Theorems presents extensive surveys by E.P. van den Ban, H. Schlichtkrull, and P. Delorme of the spectacular progress over the past decade in deriving the Plancherel theorem on reductive symmetric spaces.

Van den Ban’s introductory chapter explains the basic setup of a reductive symmetric space along with a careful study of the structure theory, particularly for the ring of invariant differential operators for the relevant class of parabolic subgroups. Advanced topics for the formulation and understanding of the proof are covered, including Eisenstein integrals, regularity theorems, Maass–Selberg relations, and residue calculus for root systems. Schlichtkrull provides a cogent account of the basic ingredients in the harmonic analysis on a symmetric space through the explanation and definition of the Paley–Wiener theorem. Approaching the Plancherel theorem through an alternative viewpoint, the Schwartz space, Delorme bases his discussion and proof on asymptotic expansions of eigenfunctions and the theory of intertwining integrals.

Well suited for both graduate students and researchers in semisimple Lie theory and neighboring fields, possibly even mathematical cosmology, Harmonic Analysis on Symmetric Spaces—General Plancherel Theorems provides a broad, clearly focused examination of semisimple Lie groups and their integral importance and applications to research in many branches of mathematics and physics. Knowledge of basic representation theory of Lie groups as well as familiarity with semisimple Lie groups, symmetric spaces, and parabolic subgroups is required.



About book:

About file:

  • File size: 1 220 501
  • Format: pdf


Security code:
Download button

Similar books results


Harmonic Analysis and Special Functions on Symmetric Spaces
Harmonic Analysis and Special Functions on Symmetric Spaces free pdf by Gerrit Heckman

The two parts of this sharply focused book, Hypergeometric and Special Functions and Harmonic Analysis on Semisimple Symmetric Spaces, are derived from lecture notes for the European School of Group Theory, a forum providing high-level courses on recent d...

Representation Theory and Harmonic Analysis on Semisimple Lie Groups
Representation Theory and Harmonic Analysis on Semisimple Lie Groups free pdf by Jr. Paul J. Sally, David A. Vogan

This book brings together five papers that have been influential in the study of Lie groups. Though published more than 20 years ago, these papers made fundamental contributions that deserve much broader exposure. In addition, the subsequent literature th...

Harmonic analysis on semigroups
Harmonic analysis on semigroups free epub by C. Berg, J. P. R. Christensen, P. Ressel

The purpose of this book is to provide a treatment of these positive definite functions on abelian semigroups with involution. In doing so we also discuss related topics such as negative definite functions, completely monotone functions and Hoeffding-type...

Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions
Harmonic Analysis on Semigroups: Theory of Positive Definite and Related Functions pdf free by Christian Berg, Jens Peter Reus Christensen, Paul Ressel (auth.)

The Fourier transform and the Laplace transform of a positive measure share, together with its moment sequence, a positive definiteness property which under certain regularity assumptions is characteristic for such expressions. This is formulated in exact...

Representation Theory and Analysis on Homogeneous Spaces: A Conference in Memory of Larry Corwin February 5-7, 1993 Rutgers University
Representation Theory and Analysis on Homogeneous Spaces: A Conference in Memory of Larry Corwin February 5-7, 1993 Rutgers University download pdf by Simon Gindikin, Roe Goodman, Frederick P. Greenleaf (ed.)

Combining presentation of new results with in-depth surveys of recent work, this book focuses on representation theory and harmonic analysis on real and $p$-adic groups. The papers are based on lectures presented at a conference dedicated to the memory of...

Harmonic analysis of mean periodic functions on symmetric spaces and the heisenberg group
Harmonic analysis of mean periodic functions on symmetric spaces and the heisenberg group free pdf by Prof. Valery V. Volchkov, Prof. Vitaly V. Volchkov (auth.)

This book presents the first systematic and unified treatment of the theory of mean periodic functions on homogeneous spaces. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close ...

Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group free pdf by Valery V. Volchkov, Vitaly V. Volchkov

The book presents the first systematic and unified treatment of the theory of mean periodic functions on homogeneous spaces. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close c...

Harmonic Analysis and Special Functions on Symmetric Spaces
Harmonic Analysis and Special Functions on Symmetric Spaces free pdf by Heckman G., Schlichtkrull H.

This sharply focused book treats the large class of hypergeometric functions used in the solution of differential equations and in physics. Although known from the time of Euler, these functions can now be understood for the first time in the context of h...

Harmonic Analysis on Commutative Spaces
Harmonic Analysis on Commutative Spaces pdf free by Joseph A. Wolf

This book starts with the basic theory of topological groups, harmonic analysis, and unitary representations. It then concentrates on geometric structure, harmonic analysis, and unitary representation theory in commutative spaces. Those spaces form a simu...

Engineering Physics

Engineering Plastics Handbook
Engineering Plastics Handbook epub download by James Margolis

Product Developers have found a wide array of application for thermoplastics in the automotive interior and exterior parts, business machines, medical, telecommunications equipment, microwaveable packaging, appliances, and specialty uses. However, finding...

Engineers Handbook of Industrial Microwave Heating
Engineers Handbook of Industrial Microwave Heating download pdf by R. J. Meredith

Of all the processes used in manufacturing industry, there can be little doubt that heating is the most commonplace. Presenting industrial microwave heating from an engineering base and integrating the essential elements of microwave theory and heat trans...

Enviromental chemistry

Environmental Nanotechnology Applications and Impacts of Nanomaterials

Environmental Assessment of Estuarine Ecosystems A Case Study

Environmental Change and Human Security Recognizing and Acting on Hazard Impacts NATO Science fo
Environmental Change and Human Security Recognizing and Acting on Hazard Impacts NATO Science fo download pdf by Peter Liotta, Peter Liotta, David A. Mouat, William G. Kepner, Judith M. Lancaster

Environmental Chemistry - Green Chemistry and Pollutants
Environmental Chemistry - Green Chemistry and Pollutants free download by Eric Lichtfouse, Jan Schwarzbauer, Didier Robert

Environmental chemistry is a new, fast developing science aimed at deciphering fundamental mechanisms ruling the behaviour of pollutants in ecosystems. Applying this knowledge to current environmental issues leads to the remediation of environmental media...

Environmental Chemistry of Aerosols
Environmental Chemistry of Aerosols epub download by Ian Colbeck

Aerosol particles are ubiquitous in the Earth's atmosphere and are central to many environmental issues such as climate change, stratospheric ozone depletion and air quality. In urban environments, aerosol particles can affect human health through their i...

Environmental Cleanup at Navy Facilities Adaptive Site Management
Environmental Cleanup at Navy Facilities Adaptive Site Management epub download by Committee on Environmental Remediation at Naval Facilities, National Research Council