Methods of the Theory of Generalized Functions

Delve into the intricate world of mathematical analysis with Methods of the Theory of Generalized Functions by Taylor & Francis Ltd. Published in 2002, this comprehensive hardback spans 326 pages and is an essential addition for anyone interested in advanced mathematical theories.

This text is grounded in the Sobolev-Schwartz concept of Generalized Functions, offering a thorough exploration of the general theory that encompasses key topics such as Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner, and Poisson integral transforms, along with operational calculus. Additionally, it covers the theory of Fourier series, abelian theorems, and boundary values of holomorphic functions, both for single and multiple variables.

Whether you're a student, researcher, or professional, this book serves as an invaluable resource for deepening your understanding of generalized functions and their applications in various fields of mathematics.