Unitary Representations of Reductive Lie Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unitary Representations of Reductive Lie Groups write by David A. Vogan. This book was released on 1987-10-21. Unitary Representations of Reductive Lie Groups available in PDF, EPUB and Kindle. This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.
Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118
Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 write by David A. Vogan Jr.. This book was released on 2016-03-02. Unitary Representations of Reductive Lie Groups. (AM-118), Volume 118 available in PDF, EPUB and Kindle. This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.
Unitary Representations of Reductive Lie Groups
Unitary Representations of Reductive Lie Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unitary Representations of Reductive Lie Groups write by David A. Vogan. This book was released on 1987. Unitary Representations of Reductive Lie Groups available in PDF, EPUB and Kindle. This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations.
Lie Groups and Symmetric Spaces
Lie Groups and Symmetric Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Groups and Symmetric Spaces write by Semen Grigorʹevich Gindikin. This book was released on 2003. Lie Groups and Symmetric Spaces available in PDF, EPUB and Kindle. The book contains survey and research articles devoted mainly to geometry and harmonic analysis of symmetric spaces and to corresponding aspects of group representation theory. The volume is dedicated to the memory of Russian mathematician, F. I. Karpelevich (1927-2000). Of particular interest are the survey articles by Sawyer on the Abel transform on noncompact Riemannian symmetric spaces, and by Anker and Ostellari on estimates for heat kernels on such spaces, as well as thearticle by Bernstein and Gindikin on integral geometry for families of curves. There are also many research papers on topics of current interest. The book is suitable for graduate students and research mathematicians interested in harmonic analysis and representation theory.
Invariant Random Fields on Spaces with a Group Action
Invariant Random Fields on Spaces with a Group Action - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Invariant Random Fields on Spaces with a Group Action write by Anatoliy Malyarenko. This book was released on 2012-10-26. Invariant Random Fields on Spaces with a Group Action available in PDF, EPUB and Kindle. The author describes the current state of the art in the theory of invariant random fields. This theory is based on several different areas of mathematics, including probability theory, differential geometry, harmonic analysis, and special functions. The present volume unifies many results scattered throughout the mathematical, physical, and engineering literature, as well as it introduces new results from this area first proved by the author. The book also presents many practical applications, in particular in such highly interesting areas as approximation theory, cosmology and earthquake engineering. It is intended for researchers and specialists working in the fields of stochastic processes, statistics, functional analysis, astronomy, and engineering.
