Hypergeometric functions as a tool for summability of the Fourier integral

DOI10.1007/BF03322038zbMath0908.33003OpenAlexW2050494254MaRDI QIDQ1266935

Wolfgang Zu Castell, Hubert Berens

Publication date: 18 March 1999

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322038

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Generalized hypergeometric series, ({}_pF_q) (33C20) Summability in several variables (42B08)

Related Items (8)

Fractional derivatives and the inverse Fourier transform of ℓ₁-radial functions ⋮ Tempered distributions and their application in computing conditional moments for normal mixtures ⋮ Type \(G\) and spherical distributions on \(\mathbb R^d\) ⋮ On a Turán problem for \(\ell-1\)-radial, positive-definite functions ⋮ On a Turán problem for \(\ell-1\)-radial, positive-definite functions. II ⋮ On a theorem of T. Gneiting on \(\alpha\)-symmetric multivariate characteristic functions ⋮ On a Discrete Turán Problem for ℓ-1 Radial Functions ⋮ Recurrence relations for radial positive definite functions

Cites Work

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• A Fourier kernel
• On alpha-symmetric multivariate distributions
• The special functions and their approximations. Vol. I, II
• The G-Functions as Unsymmetrical Fourier Kernels. I
• On the Positivity of some ${}_1 F_2 $’s
• Positive Sums of the Classical Orthogonal Polynomials
• l-1 summability of multiple Fourier integrals and positivity
• A Class of Fourier Kernels

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