Generalized analyticity on the 𝑁-torus

DOI10.1090/S0002-9939-2012-11442-XzbMath1266.42015OpenAlexW2076892112MaRDI QIDQ4910773

Victor L. Shapiro

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11442-x

zbMATH Keywords

Fourier coefficientone-parameter grouppositive linear measure

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Uniqueness of trigonometric expansions, uniqueness of Fourier expansions, Riemann theory, localization (42A63)

Cites Work

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• Prediction theory and Fourier series in several variables
• Prediction theory and Fourier series in several variables. II
• Bounded generalized analytic functions on the torus
• Boundary values of analytic functions in several variables and of almost periodic functions

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