商品簡介
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 is supplemented by the theory of Fourier series, tauberian and abelian theorems and boundary values of helomorphic functions for one and several variables. There is a detailed study of convolution theory, convolution algebra and convolution equations in them, homogeneous generalized functions and multiplication of generalized functions and some trends in these problems.
作者簡介
V. S. Vladimirov is the head of the Department of Mathematical Physics, Steklov Mathematical Institute, Moscow.
