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Zbl 0515.46034
Vladimirov, V.S.
Generalized functions in mathematical physics. Transl. from the 2nd Russian edition by G. Yankovskij. (English)
[B] Moscow: Mir Publishers. 362 p. R. 2.35 (1979).

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MSC 2000:: *46F10 Operations with distributions (generalized functions)
46-02 Research monographs (functional analysis)
46F05 Topological linear spaces of test functions and distributions
46F12 Integral transforms in distribution spaces
35D05 Existence of generalized solutions of PDE
35D10 Regularity of generalized solutions of PDE
46N99 Appl. of functional analysis

Keywords: space of distributions; differentiation; tensor products; support; convolution; tempered distributions; integral transforms of distributions; Fourier and Laplace transforms; Bochner-Schwartz and Paley-Wiener-Schwartz theorems; Cauchy and Poisson kernels; Cauchy- Bochner and Hilbert transforms; Fourier series for periodic distributions; Malgrange-Ehrenpreis theorem; existence of elementary solutions; discussion of elliptic, hypoelliptic and hyperbolic operators; Cauchy problem; passive systems

Citations: Zbl 0403.46036

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