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This collection contains survey articles dealing with the following topics: The Mach principle and its role in the general theory of relativity, the modern conception of the vacuum, new methods in the theory of Lie group representations, the coherent state method and its application to physical problems, and the Newman-Penrose method and its application to problems in general relativity theory.
On the Problem of Singularity in the De Sitter Model.- On the Integral Formulation of the Mach Principle in a Conformally Flat Space.- Canonical Transformations and the Theory of Representations of Lie Groups.- The Newman-Penrose Method in the Theory of General Relativity.