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Vladimirov, V. S.

Generalized functions in mathematical physics. Transl. from the 2nd Russian edition by G. Yankovskij. (English) Zbl 0515.46034

Moscow: Mir Publishers. 362 p. R. 2.35 (1979).
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Cited in 89 Documents

MSC:

46F10 Operations with distributions and generalized functions
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis
46F05 Topological linear spaces of test functions, distributions and ultradistributions
46F12 Integral transforms in distribution spaces
35D05 Existence of generalized solutions of PDE (MSC2000)
35D10 Regularity of generalized solutions of PDE (MSC2000)
46N99 Miscellaneous applications 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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