Analytical Methods and Special Functions
Methods of the Theory of Generalized Functions
1st Edition
By V. S. Vladimirov
October 02, 2019
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 Fourier series, abelian theorems, and boundary values ...
Distribution, Integral Transforms and Applications
1st Edition
By W. Kierat, Urszula Sztaba
September 23, 2019
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 analysis. The more elementary treatments that are...
Operational Calculus and Related Topics
1st Edition
By A. P. Prudnikov, K.A. Skórnik
September 11, 2019
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 and Related Topics highlights the classical methods ...
Hypersingular Integrals and Their Applications
1st Edition
By Stefan Samko
October 25, 2001
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 and their applications. The author is a renowned...
Fourier Transforms and Approximations
1st Edition
By A M Sedletskii
September 20, 2000
Three classes of Fourier transforms are presented: Fourier (Laplace) transforms on the halfline, Fourier transforms of measures with compact support and Fourier transforms of rapidly decreasing functions (on whole line). The focus is on the behaviour of Fourier transforms in the region of ...
Inverse Spectral Problems for Linear Differential Operators and Their Applications
1st Edition
By V A Yurko
January 18, 2000
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 problem of recovering differential equations with ...
Orthogonal Polynomials in Two Variables
1st Edition
By P. K. Suetin
August 19, 1999
Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour. The text includes the classification of differential equations which admits ...
Series of Faber Polynomials
1st Edition
By P.K. Suetin, E.V. Pankratiev
March 23, 1998
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 last decade, although the presentation of research has, until now, been confined mainly to journal articles. Applications include ...