Titlebook: Linear Analysis and Representation Theory; Steven A. Gaal Book 1973 Springer-Verlag Berlin Heidelberg 1973 Darstellung.Lie.Mathematica.alg

墊子

Mechanics

Induced Representations,tisfying the second axiom of countability. For the sake of clarity we shall define induced representations first in this special case. Later in Section 4 we extend Mackey’s definition to arbitrary . and . The theorems given in Sections 8, 9, 10 and 11 are proved in full generality.

初學(xué)者

Square Integrable Representations, Spherical Functions and Trace Formulas, last section contains the statement and proof of a class of trace formulas which can be appreciated only by knowing about spherical functions as defined by Godement and Harish—Chandra. The theory of these is developed in Section 3. Moreover it is necessary to know from Section 4 and 5 at least the statements of Theorems 4.1 and 5.10.

手段

Lie Algebras, Manifolds and Lie Groups,book and the remaining sections depend only on these ones. It is advisable to get acquainted with Section V.1 before reading Sections 5 and 6. This can be easily done because there are no prerequisites for Section V.1.

性上癮

OCTO

Topological Groups, Invariant Measures, Convolutions and Representations,s about v. Neumann algebras .. In particular we need that . is its second commutant and that . is weakly closed. All of this is discussed and proved in Section III.6. The text contains detailed references to this background material at the places where it is used. See also the preliminary remarks on the last page.

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978-3-642-80743-5Springer-Verlag Berlin Heidelberg 1973

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CHART

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Retrieval

Operators and Operator Algebras,ly for reference during the detailed study of some of the later chapters. The topics of this chapter are both important and interesting. The following elementary and concise summary of this part of linear functional analysis can be read without familiarity with the contents of Chapter I. A casual acquaintence with Section I.4. will suffice.