Harmonic Analysis and Boundary Value Problems in the Complex Domain

Name: Harmonic Analysis and Boundary Value Problems in the Complex Domain
Brand: Springer, Berlin
SKU: 9783764328559
Price: 95.17 EUR
Availability: InStock

Autor: M. M. Djrbashian

Jazyk:

Väzba: Pevná

Vydavateľ: Springer, Berlin

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The present book is a valuable continuation of the large cycle of the author's investigations on har...

Informácie o knihe

Autor

M. M. Djrbashian

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

1993

Stránok

258

EAN

9783764328559

Enbook ID

05289146

Vydavateľ

Springer, Berlin

Hmotnosť

680

Rozmery

170 x 240 x 20

Kompletný popis

The present book is a valuable continuation of the large cycle of the author's 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.

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Harmonic Analysis and Boundary Value Problems in the Complex Domain

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