Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 12 (2017), 81 -- 88

This work is licensed under a Creative Commons Attribution 4.0 International License.

A REPRESENTATION FOR A WEIGHTED L

Martha Guzmán-Partida and Carlos Robles-Corbala

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.

2010 Mathematics Subject Classification: 46C15, 46E22.
Keywords: reproducing kernel, orthonormal basis, Hilbert space.

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Martha Guzmán-Partida
Departamento de Matemáticas,
Universidad de Sonora,
Hermosillo, Sonora, 83000, México.
e-mail: martha@mat.uson.mx

Carlos Robles-Corbala
Departamento de Matemáticas,
Universidad de Sonora,
Hermosillo, Sonora, 83000, México.
crobles@mat.uson.mx

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