<p>The paper gives some statements on biorthogonal systems, bases, and interpolation in some of M.M. Djrbashian Hilbert space spaces <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10958_2025_7557_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="TEX">\(A^2_\omega ({\mathbb {C}})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mi>A</mi> <mi>ω</mi> <mn>2</mn> </msubsup> <mrow> <mo stretchy="false">(</mo> <mi mathvariant="double-struck">C</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> of entire functions with square integrable modulus over the entire complex plane. One of the systems consists of Mittag-Leffler functions.</p>

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BIORTHOGONAL SYSTEMS, BASES, AND INTERPOLATION BY MITTAG-LEFFLER FUNCTIONS IN SPACES \(A^2_\omega ({\mathbb {C}})\)

  • Armen M. Jerbashian

摘要

The paper gives some statements on biorthogonal systems, bases, and interpolation in some of M.M. Djrbashian Hilbert space spaces \(A^2_\omega ({\mathbb {C}})\) A ω 2 ( C ) of entire functions with square integrable modulus over the entire complex plane. One of the systems consists of Mittag-Leffler functions.