Transmutations and Applications: a survey
by Sergei M. Sitnik
Publisher: arXiv 2010
Number of pages: 141
Description:
We consider main transmutation theory topics with many applications, including author's own results. The topics covered are: transmutations for Sturm-Liouville operators, Vekua-Erdelyi-Lowndes transmutations, transmutations for general differential operators with variable coefficients, Sonine and Poisson transmutations, transmutations and fractional integrals, etc.
Download or read it online for free here:
Download link
(870KB, PDF)
Similar books
Jacobi Operators and Complete Integrable Nonlinear Latticesby Gerald Teschl - American Mathematical Society
Introduction and a reference to spectral and inverse spectral theory of Jacobi operators and applications of these theories to the Toda and Kac-van Moerbeke hierarchy. It covers second order difference equations, self-adjoint operators, etc.
(13119 views)
Orbital Integrals on Reductive Lie Groups and Their Algebrasby Francisco Bulnes - InTech
The purpose is to present a complete course on global analysis topics and establish some orbital applications of the integration on topological groups and their algebras to harmonic analysis and induced representations in representation theory.
(9898 views)
Set Theory and Topology: An Introduction to the Foundations of Analysisby Felix Nagel - arXiv
We provide a formal introduction into the classic theorems of general topology and its axiomatic foundations in set theory. The exposition in this first part includes relation and order theory as well as a construction of number systems.
(12207 views)
Introduction to Analysisby Irena Swanson - Purdue University
Students learn to write proofs while at the same time learning about binary operations, orders, fields, ordered fields, complete fields, complex numbers, sequences, and series. We also review limits, continuity, differentiation, and integration.
(10436 views)