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
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.
(10397 views)
Reader-friendly Introduction to the Measure Theoryby Vasily Nekrasov - Yetanotherquant.de
This is a very clear and user-friendly introduction to the Lebesgue measure theory. After reading these notes, you will be able to read any book on Real Analysis and will easily understand Lebesgue integral and other advanced topics.
(13686 views)
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.
(13650 views)
A Course in Mathematical Analysisby E. Goursat, O. Dunkel, E.R. Hedrick - Ginn & company
Goursat's three-volume 'A Course in Mathematical Analysis' remains a classic study and a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition.
(11675 views)