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Caracterización de funcionales lineales asociados a formas bilineales de tipo Sobolev
Characterization of linear functionals associated to bilinear forms of Sobolev type
Palabras clave:
Producto de Soboley, teorema de Favard, sucesión de momentos, 2000 Mathematics Subject Classification. 30E05 (es)Sobolev’s Product, Favard’s theorem, sequence of moments (en)
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En este trabajo se caracterizan las formas bilineales cuyos funcionales asociados anulen a los múltiplos de (χȳ — 1 )2n+1, primero cuando éstos son funcionales generales, posteriormente cuando éstos son hermíticos. También se caracterizan las sucesiones de momentos asociadas a estas formas bilineales y se presenta un análogo del teorema de Favard.
Abstract. In this work we characterize the bilinear forms whose associated functionals vanish the multiples of (χȳ — 1 )2n+1, n = 0, 1 ,..., first when they are general functionals and later on when they are hermitian. Besides we characterize the sequences of moments associated to this bilinear forms and an analog of Favard’s Theorem is presented.
Referencias
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