The Weyl Operator and its Generalization

1. Introduction and Terminology
Leon Cohen

2. Operator Algebra
Leon Cohen

3. The Weyl Operator
Leon Cohen

4. Generalized Operator Association
Leon Cohen

5. Generalized Phase-Space Distributions
Leon Cohen

6. Special Cases
Leon Cohen

7. Unitary Transformation
Leon Cohen

8. Path Integral Approach
Leon Cohen

9. Time-Frequency Operators
Leon Cohen

10. Transformation of Differential Equations Into Phase Space
Leon Cohen

11. The Eigenvalue Problem in Phase-Space
Leon Cohen

12. Arbitrary Operators: Single Operator
Leon Cohen

13. Uncertainty Principle for Arbitrary Operators
Leon Cohen

14. The Khintchine Theorem and Characteristic Function Representability
Leon Cohen

15. Arbitrary operators: Two Operators
Leon Cohen

Avainsanat: Mathematics, Partial Differential Equations, Operator Theory, Mathematical Physics