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by Gerrit Heckman
Download Harmonic Analysis and Special Functions on Symmetric Spaces (Perspectives in Mathematics) fb2
Mathematics
  • Author:
    Gerrit Heckman
  • ISBN:
    0123361702
  • ISBN13:
    978-0123361707
  • Genre:
  • Publisher:
    Academic Press (January 19, 1995)
  • Pages:
    225 pages
  • Subcategory:
    Mathematics
  • Language:
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    1517 kb
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    1229 kb
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Электронная книга "Harmonic Analysis and Special Functions on Symmetric Spaces", Gerrit Heckman.

Электронная книга "Harmonic Analysis and Special Functions on Symmetric Spaces", Gerrit Heckman. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Harmonic Analysis and Special Functions on Symmetric Spaces" для чтения в офлайн-режиме.

Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group (Springer . Causal symmetric spaces: Geometry an. .

Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group (Springer Monographs in Mathematics). Banach spaces, harmonic analysis, and probability theory Causal symmetric spaces: Geometry and harmonic analysis. Causal Symmetric Spaces: Geometry and Harmonic Analysis. Harmonic Analysis and Special Functions on Symmetric Spaces (Perspectives in Mathematics).

Heckman and H. Schlichtkrull, Harmonic analysis and special functions on symmetric spaces. J. Rosenberg, A quick proof of Harish-Chandra’s Plancherel theorem for spherical functions on a semisimple Lie group. Soc. 63 (1977), 143–149. Academic Press, 1994. zbMATHGoogle Scholar. S. Helgason, Groups and geometric analysis. Academic Press, 1984. Helgason, Geometric analysis on symmetric spaces.

We initiate a study of harmonic functions on hypergroups. Lecture Notes in Mathematics. In particular, we introduce the concept of a nilpotent hypergroup and show such hypergroup admits an invariant measure as well as a Liouville theorem for bounded harmonic functions. Further, positive harmonic functions on nilpotent hypergroups are shown to be integrals of exponential functions. Summary The metric of the general harmonic symmetric Riemannian 4-space expressed in tensor form is generalised to n dimensions, and it is verified that the space so obtained is symmetric, harmonic and complete, the underlying manifold being Euclidean.

Harmonic Analysis and Special Functions on Symmetric Spaces. Hough, B. and Jiang, Y. (2012). Asymptotic mixing time analysis of a random walk on the orthogonal group.

We derive an explicit c-function expansion of a basic hypergeometric . Harmonic Analysis and Special Functions on Symmetric Spaces. Gerrit Heckman, Henrik Schlichtkrull.

We derive an explicit c-function expansion of a basic hypergeometric function associated to root systems. The basic hypergeometric function in question was constructed as an explicit series expansion in symmetric Macdonald polynomials by Cherednik in case the associated twisted ane root system is reduced. Its construction was extended to the nonreduced case by the author.

The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, an.

The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators.

In differential geometry, representation theory and harmonic analysis, a symmetric space is a pseudo-Riemannian manifold whose group of symmetries contains an inversion symmetry about every point. This can be studied with the tools of Riemannian geometry, leading to consequences in the theory of holonomy; or algebraically through Lie theory, which allowed Cartan to give a complete classification.

Topological Vector Spaces, Distributions and Kernels (Dover Books on Mathematics)

Topological Vector Spaces, Distributions and Kernels (Dover Books on Mathematics). Topological Vector Spaces (Graduate Texts in Mathematics). An attractive feature of the book is that it is essentially self-contained, and thus perfectly suitable for senior students having a basic training in the area of elementary functional analysis and set-theoretic topology.

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 developments in group theory. The authors provide students and researchers with a thorough and thoughtful overview, elaborating on the topic with clear statements of definitions and theorems and augmenting these withtime-saving examples. An extensive set of notes supplements the text. Heckman and Schlichtkrull extend the ideas of harmonic analysis on semisimple symmetric spaces to embrace the theory of hypergeometric and spherical functions and show that the K-variant Eisenstein integrals for G/H are hypergeometric functions under this theory. They lead readers from the fundamentals of semisimple symmetric spaces of G/H to the frontier, including generalization, to the Riemannian case. This volume will interest harmonic analysts, those working on or applying the theory of symmetric spaces; it will also appeal to those with an interest in special functions. Extends ideas of harmonic analysis on symmetric spaces First treatment of the theory to include hypergeometric and spherical functions Links algebraic, analytic, and geometric methods