Periodic Beurling distributions

DOI10.1007/BF01956775zbMath0564.46034MaRDI QIDQ5902731

M. G. Collier, John A. Kelingos

Publication date: 1983

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

convolution productharmonic functionsBeurling distributionsBeurling test function spaceFourier Series representationPeriodic distributions

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Integral transforms in distribution spaces (46F12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Cites Work

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• Der Satz von Bochner-Schwartz für Ultradistributionen
• An extension of the Nevanlinna theory
• Approximation in the mean by polynomials on non-Caratheodory domains
• Linear partial differential operators and generalized distributions
• Restrictions of Fourier transforms and extension of Fourier sequences
• Temperierte BEURLING-Distributionen
• An Analogue of a Theorem of Vladimir Bernstein and its Applications to Singular Supports of Distributions
• Topological Properties of Analytically Uniform Spaces
• Nuclear Spaces of Generalized Test Functions

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