Name: harmonic analysis and boundary value problems in the complex domain
SKU: 3423490
Price: 3058.00 TWD
Availability: InStock
Author: djrbashian
ISBN: 9783764328559

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portada harmonic analysis and boundary value problems in the complex domain

harmonic analysis and boundary value problems in the complex domain

Type

Physical Book

Publisher

Springer

Author

djrbashian

Language

English

ISBN

376432855X

ISBN13

9783764328559

Synopsis "harmonic analysis and boundary value problems in the complex domain"

the present book is a valuable continuation of the large cycle of the authors investigations on harmonic analysis in the complex domain. for certain sets of segments in the complex domain, the elegant and explicit apparatus of the biorthogonal fourier type systems (basis systems in the rieszian sense), is constructed by purely analytic methods of classical function theory. this is done using the remarkable asymptotic properties of the mittag-leffler type entire functions and new interpolation theorems for the banach spaces of entire functions. it is especially noteworthy that at the same time the constructed basis systems are eigenfunctions for quite non-ordinary boundary value problems in the complex domain for differential equations of fractional order. such boundary value problems, the solutions of which are carried through to a logical conclusion, i.e. up to the theorems of expansions into eigenfunctions, are considered in the book for the first time.