Spectral Theory of Families of Self-Adjoint Operators

Chapter 1 Introduction

Chapter 2 Comments to the Introduction

Chapter 3 Spectral Analysis of Countable Families of Commuting Self-Adjoint Operators (CSO)

Chapter 4 Unitary Representations of Inductive Limits of Commutative Locally Compact Groups

Chapter 5 Differential Operators with Constant Coefficients in Spaces of Functions of Infinitely Many Variables

Chapter 6 Canonical Commutation Relations (CCR) of Systems with Countable Degrees of Freedom

Chapter 7 Unitary Representations of the Group of Finite SU(2)-Currents on a Countable Set

Chapter 8 Representations of the Group of Upper Triangular Matrices

Chapter 9 A Class of Inductive Limits of Groups and their Representations

Chapter 11 Finite and Countable Collections of Graded-Commuting Self-Adjoint Operators (GCSO)

Chapter 12 Collections of Unbounded CSO ( A k ) and CSO ( B k ) Satisfying General Commutation Relations

Chapter 13 C *-Algebras U 0 ∞ and their Representations

Chapter 14 Non-Commutative Random Sequences and Methods for their Construction