Spectral Theory of Families of Self-Adjoint Operators

Inhaltsverzeichnis

• Comments to the introduction.
• I Families of Commuting Normal Operators.
• 1. Spectral Analysis of Countable Families of Commuting Self-Adjoint Operators (CSO).
• 2. Unitary Representations of Inductive Limits of Commutative Locally Compact Groups.
• 3. Differential Operators With Constant Coefficients In Spaces of Functions of Infinitely Many Variables.
• Inductive Limits of Finite-Dimensional Lie Algebras and Their Representations.
• 4. Canonical Commutation Relations (CCR) of Systems with Countable Degrees of Freedom.
• 5. Unitary Representations of The Group of Finite SU(2)-Currents on A Countable Set.
• 6. Representations of The Group of Upper Triangular Matrices.
• 7. A Class of Inductive Limits of Groups and Their Representations.
• Collections of Unbounded Self-Adjoint operators Satisfying General Relations.
• 8. Anticommuting Self-Adjoint Operators.
• 9. Finite and Countable Collections of Gradedcommuting Self-Adjoint Operators (GCSO).
• 10. Collections Of Unbounded CSO (Ak) And CSO (Bk) Satisfying General Commutation Relations.
• Representations of Operator Algebras And Non-Commutative Random Sequences.
• 11. C* -ALGEBRASU0? And Their Representations.
• 12. Non-Commutative Random Sequences and Methods for Their Construction.