A representation for a weighted L2 space

Using elementary tools of complex analysis and Hilbert space theory, we present a realization of a weighted L2 space on the unit disc. In the way, we show some additional properties.

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Published inSurveys in mathematics and its applications Vol. 12 (2017); pp. 81 - 88
Main Authors Martha Guzman-Partida, Carlos Robles-Corbala
Format Journal Article
LanguageEnglish
Published University Constantin Brancusi of Targu-Jiu 01.08.2017
Subjects
Hilbert space
orthonormal basis
reproducing kernel
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Abstract Using elementary tools of complex analysis and Hilbert space theory, we present a realization of a weighted L2 space on the unit disc. In the way, we show some additional properties.
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Author Carlos Robles-Corbala
Martha Guzman-Partida
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  organization: Departamento de Matemáticas, Universidad de Sonora, Hermosillo, Sonora, 83000, México
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Snippet Using elementary tools of complex analysis and Hilbert space theory, we present a realization of a weighted L2 space on the unit disc. In the way, we show some...
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SubjectTerms Hilbert space
orthonormal basis
reproducing kernel
Title A representation for a weighted L2 space
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Volume 12 (2017)
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