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Convolutions of Generalized H-transforms

  • Semen B. Yakubovich
  • Yurii F. Luchko
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 287)

Abstract

The term “convolution” is commonly used in analysis. Best known examples of convolutions are the convolution of the Fourier, Laplace, and Mellin transforms. Broadly speaking, a convolution is always conceived as a bilinear, commutative and associative operation in a linear space, i.e., it is a multiplication in a linear space, such that the space itself becomes a commutative ring. There is a great variety of papers, articles, and books, in which the problems connected with investigation and using the convolutions are studied. We refer to L. Berg (1976), I.H. Dimovski (1982), I.H. Dimovski and V.S. Kiryakova (1984), I.H. Dimovski and S.L. Kalla (1988), H.-J. Glaeske and A. Heγ (1986), (1987), (1988), M. Goldberg (1961), S.I. Grozdev (1980), V.A. Kakichev (1967), (1990), V.S. Kiryakova (1989), Yu. F. Luchko and S.B. Yakubovich (1991), (1991a), N.A. Meller (1960), J. Mikusinski and G. Ryll-Nardzewski (1952), (1953), Nguyen Thanh Hai and S.B. Yakubovich (1992), J. Rodrigues (1990), M. Saigo and S.B. Yakubovich (1991), S.B. Yakubovich (1987a), (1987b), (1990), (1991a), (1991b), (1992), S.B. Yakubovich and Yu. F. Luchko (1991a), (1991b), S.B. Yakubovich and Nguyen Thanh Hai (1991), S.B. Yakubovich et al. (1992).

Keywords

Integration Operator Linear Space Commutative Ring Fractional Integration Absolute Constant 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • Semen B. Yakubovich
    • 1
  • Yurii F. Luchko
    • 1
  1. 1.Department of Mathematics and MechanicsBeylorussian State UniversityMinsk, ByelorussiaRussia

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