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Front Matter Pages i-xxvii. Front Matter Pages Pages Spaces of Test Functions. Schwartz Distributions. Calculus for Distributions. Distributions as Derivatives of Functions. Tensor Products. Convolution Products. Applications of Convolution. Holomorphic Functions. Fourier Transformation. Distributions as Boundary Values of Analytic Functions.
Other Spaces of Generalized Functions. Sobolev Spaces. Inner Product Spaces and Hilbert Spaces. Geometry of Hilbert Spaces. Separable Hilbert Spaces.
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