Transmutation Operators and Applications
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Beschreibung
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.
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.
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
Autor*in
Vladislav V. Kravchenko
Themen in »Transmutation Operators and Applications«
transmutation theory spectral theory inverse problems special functions integral transforms integral operators with special function kernels inequalities fractional calculus approximation theory numerical methods ordinary differential equations partial differential equations