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Titlebook: Wave Factorization of Elliptic Symbols: Theory and Applications; Introduction to the Vladimir B. Vasil’ev Book 2000 Springer Science+Busin

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Distributions and Their Fourier transforms, . ∈ .(ℝ.) iff ∥.. − .∥ . → 0, . → ∞ for all . = 0, 1, ... The last statement, by virtue of (1.1.1) is equivalent to saying that ......(.) uniformly tends to zero under . → ∞ for arbitrary multiindex ..
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The problem of indentation of a wedge-shaped punch,rs is devoted to the study of special types of such equations [106,178] when a punch has fixed form (for example, the punch is circular, elliptical, or wedge-shaped, etc.), and in these papers they develop asymptotic methods of solution.
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The Laplacian in a plane infinite angle,f the posed problem exists and is unique (including explicit construction for solution in terms of Fourier and Mellin transforms). Other approaches one can find in papers which are contained in the list of references from [135].
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Diffraction on a quadrant,dimensional generalization of this method, and with its help we will study pseudodifferential equations arising from a diffraction problem on a quadrant, obtained in [168]. The solution in the simplest case of this problem can be written in explicit form and is more appealing than the formula found in [168].
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. The elements of such a theory already exist in the literature and can be found in such papers and monographs as [90,95,96,109,115,131,132,134,135,136,146, 163,165,169,170,182,184,214-218]. In this book, we will employ a theory that is based on quite different principles than those used previously.
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