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Theory.- I Concepts from Set Theory and Topology.- II Theory of Measures and Integrals..- III Linear Topological Spaces and Linear Operators.- IV The Fourier Transformation and Elements of Harmonic Analysis.- V The Spectral Theory of Operators.- Problems.- I Concepts from Set Theory and Topology.- II Theory of Measures and Integrals..- III Linear Topological Spaces and Linear Operators.- IV The Fourier Transformation and Elements of Harmonic Analysis.- V The Spectral Theory of Operators.- Hints.- I Concepts from Set Theory and Topology.- II Theory of Measures and Integrals..- III Linear Topological Spaces and Linear Operators.- IV The Fourier Transformation and Elements of Harmonic Analysis.- V The Spectral Theory of Operators.- List of Notation.

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