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GENERALIZED FUNCTIONS: PART I. REPRESENTATION THEOREMS FOR SOME STANDARD FUNCTION SPACES - AN INTRODUCTION TO FUNCTIONAL ANALYSIS.
MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS
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The first part of the paper is devoted to the functional analysis necessary to study distributions. The distributions and applications of Fourier and Laplace transforms are dealt with comprehensively. An outline is given of research areas in distribution theory. Part three contains the theory of vector valued distributions from the point of view of nuclear spaces and topological tensor products.
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