Titlebook: Harmonic Analysis and Boundary Value Problems in the Complex Domain; Mkhitar M. Djrbashian Book 1993 Springer Basel AG 1993 Boundary value

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Harmonic Analysis and Boundary Value Problems in the Complex Domain978-3-0348-8549-2Series ISSN 0255-0156 Series E-ISSN 2296-4878

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Some estimates in Banach spaces of analytic functions,The series of lemmas and theorems proved in this chapter establishes some estimates of norms in different weighted spaces of functions analytic in a half-plane and also in different weighted spaces of entire functions of exponential type. Later chapters of the book are based on these results and the results of Chapters 1 and 2.

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Interpolation series expansions in spaces,of entire functions,In this chapter we establish interpolation series expansions in the Banach spaces.of entire functions Φ(.) of arbitrary natural order . ≥ 1 and of type ≤σ, satisfying the condition., where it is assumed, as always, that..

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Further results. Wiener-Paley type theorems,ry of parametric representations of various classes of entire and analytic functions restricted by additional conditions of weighted integrability on suitable systems of rays. The main results of this chapter will be used later on, but nevertheless, we present them without proofs. The proofs can be found in M. M. Djrbashian’s monograph [5].