Operational Calculus and Related Topics

ISBN: 9780367390495 出版年：2006 页码：420 Prudnikov, A P CRC Press

INTEGRAL TRANSFORMS Introduction to Operational Calculus Integral Transforms - Introductory Remarks The Fourier Transform The Laplace Transform The Mellin Transform The Stieltjes Transform The Hilbert Transform Bessel Transforms The Mehler-Fock Transform Finite Integral Transforms OPERATIONAL CALCULUS Introduction The Theorem of Titchmarsh Operators Bases of the Operator Analysis Operators Reducible to Functions Application of Operational Calculus GENERALIZED FUNCTIONS Introduction Generalized Functions - Functional Approach Generalized Functions - Sequential Approach Delta Sequences Convergent Sequences Local Properties Irregular Operations Hilbert Transform and Multiplication Forms