Editors:
- Compiles a wide range of applications of transmutation theory in one volume
- Leads to new research areas and problems
- Provides material that may be used for teaching, as parts of university courses and programs
Part of the book series: Trends in Mathematics (TM)
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Table of contents (30 chapters)
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Front Matter
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Transmutations, Integral Equations and Special Functions
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Front Matter
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Transmutations in ODEs, Direct and Inverse Problems
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Front Matter
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About this book
Transmutation operators in differential equations and spectral theory can be used to reveal the relations between different problems, and often make it possible to transform difficult problems into easier ones. Accordingly, they represent an important mathematical tool in the theory of inverse and scattering problems, of ordinary and partial differential equations, integral transforms and equations, special functions, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications of transmutation operators, while also sharing some interesting historical notes on the subject.
Editors and Affiliations
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Department of Mathematics, Center for Research and Advanced Studies, National Polytechnic Institute, Queretaro, Mexico
Vladislav V. Kravchenko
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Belgorod State National Research University (BelGU), Belgorod, Russia
Sergei M. Sitnik
Bibliographic Information
Book Title: Transmutation Operators and Applications
Editors: Vladislav V. Kravchenko, Sergei M. Sitnik
Series Title: Trends in Mathematics
DOI: https://doi.org/10.1007/978-3-030-35914-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-35913-3Published: 12 April 2020
Softcover ISBN: 978-3-030-35916-4Published: 12 April 2021
eBook ISBN: 978-3-030-35914-0Published: 11 April 2020
Series ISSN: 2297-0215
Series E-ISSN: 2297-024X
Edition Number: 1
Number of Pages: XVII, 686
Number of Illustrations: 4 b/w illustrations, 1 illustrations in colour
Topics: Ordinary Differential Equations, Partial Differential Equations, Integral Transforms, Operational Calculus, Real Functions, Potential Theory