This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and Poisson integral transforms and operational calculus, with the traditional material augmented by the theory of Fouri...Loe edasi...
The theory of distributions is most often presented as L. Schwartz originally presented it: as a theory of the duality of topological vector spaces. Although this is a sound approach, it can be difficult, demanding deep prior knowledge of functional...Loe edasi...
Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus...Loe edasi...
Mathematicians Glaeske (Friedrich-Schiller U., Germany), K.A. Skornik (Polish Academy of Sciences, Katowice), and A.P. Prudnikov (1927-99) introduce operational calculus and the related topics of integral transforms of functions and generalized funct...Loe edasi...
An introductory textbook for students who have completed a course in advanced calculus; the necessary material from functional analysis is appended. It emphasizes the connections between distributional theory, classical analysis, and the theory of di...Loe edasi...
The volume is based on the Sobolev-Schwarz concept of generalized functions. It presents general theory including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner, Poisson integral transforms and also operational calculus. Traditional material i...Loe edasi...
Hypersingular integrals arise as constructions inverse to potential-type operators and are realized by the methods of regularization and finite differences. This volume develops these approaches in a comprehensive treatment of hypersingular integrals...Loe edasi...
(Ilmumisaeg: 20-Sep-2000, Hardback, Kirjastus: Taylor & Francis Ltd, ISBN-13: 9789056992347)
Sedletskii (mathematical analysis, Moscow State U.) says a more detailed title would be Fourier transforms that are analytic functions and their applications to the function approximation by means of exponents and powers on subsets of the real axis:...Loe edasi...
Aims to construct the inverse problem theory for ordinary non-self-adjoint differential operators of arbitary order on the half-line and on a finite interval. The book consists of two parts: in the first part the author presents a general inverse pro...Loe edasi...
(Ilmumisaeg: 19-Aug-1999, Hardback, Kirjastus: Taylor & Francis Ltd, ISBN-13: 9789056991678)
Presents a theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials. Cases of orthogonality over a region and on a contour are presented. Discusses classification of differential equations which adm...Loe edasi...
(Ilmumisaeg: 23-Mar-1998, Hardback, Kirjastus: Taylor & Francis Ltd, ISBN-13: 9789056990589)
This volume presents some important classical and modern results of the series of Faber polynomials and their applications. Interest in this subject has increased rapidly over the past decade although the presentation of research has been confined ma...Loe edasi...
