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Spectral Theory of Families of Self-Adjoint Operators

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Cover of 'Spectral Theory of Families of Self-Adjoint Operators'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Comments to the Introduction
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    Chapter 3 Spectral Analysis of Countable Families of Commuting Self-Adjoint Operators (CSO)
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    Chapter 4 Unitary Representations of Inductive Limits of Commutative Locally Compact Groups
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    Chapter 5 Differential Operators with Constant Coefficients in Spaces of Functions of Infinitely Many Variables
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    Chapter 6 Canonical Commutation Relations (CCR) of Systems with Countable Degrees of Freedom
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    Chapter 7 Unitary Representations of the Group of Finite SU(2)-Currents on a Countable Set
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    Chapter 8 Representations of the Group of Upper Triangular Matrices
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    Chapter 9 A Class of Inductive Limits of Groups and their Representations
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    Chapter 10 Anticommuting Self-Adjoint Operators
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    Chapter 11 Finite and Countable Collections of Graded-Commuting Self-Adjoint Operators (GCSO)
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    Chapter 12 Collections of Unbounded CSO ( A k ) and CSO ( B k ) Satisfying General Commutation Relations
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    Chapter 13 C *-Algebras U 0 ∞ and their Representations
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    Chapter 14 Non-Commutative Random Sequences and Methods for their Construction
Attention for Chapter 5: Differential Operators with Constant Coefficients in Spaces of Functions of Infinitely Many Variables
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