On summability methods for conjugate Fourier-Stieltjes integrals in several variables and generalizations,

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Walsh, T. (Thomas), 1941-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, American Mathematical Society, 1973.
Colección:Memoirs of the American Mathematical Society ; no. 131.
Temas:
Fourier series.
Summability theory.
Functions of several real variables.
Séries de Fourier.
Sommabilité.
Fonctions de plusieurs variables réelles.
Fourier series
Functions of several real variables
Summability theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Introduction
  • Summability of conjugate Fourier integrals at Lebesgue points
  • Summability of differentiated Fourier integrals at points of differentiability in the L¹ sense
  • Summability of differentiated Fourier integrals at points where [Integral][vertical line][italic]y[vertical line][less than over equal to]1[vertical line][superscript italic]f(x+y)⁻p(x,y)[vertical line][italic]y[vertical line][italic exponents to preceding superscript]⁻n⁻k[italic superscript]dy[less than][Infinity]
  • Summability of conjugate Fourier integrals almost everywhere
  • Summability of differentiated Fourier integrals on measurable sets.

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