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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 265, Pages 220–228 (Mi tm836)  
Unbounded Transforms and Approximation of Functions over $p$-adic Fields

A. Radyna, Ya. Radyna, Ya. Radyno

Faculty of Mechanics and Mathematics, Belarusian State University, Minsk, Belarus
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Abstract: We consider functions of a $p$-adic variable with values in different spaces. In each case we consider an unbounded integral operator and a corresponding issue. More precisely, we study the Riesz–Volkenborn integral representation of functions with values in a non-Archimedean field, the Vladimirov operator and corresponding vectors of exponential type in spaces of complex-valued functions, and the Fourier transform and its (dis)continuity in spaces of Banach-valued functions.
Received in August 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 265, Pages 208–216
DOI: https://doi.org/10.1134/S0081543809020199
Bibliographic databases:
UDC: 517.518
Language: English
Citation: A. Radyna, Ya. Radyna, Ya. Radyno, “Unbounded Transforms and Approximation of Functions over $p$-adic Fields”, Selected topics of mathematical physics and $p$-adic analysis, Collected papers, Trudy Mat. Inst. Steklova, 265, MAIK Nauka/Interperiodica, Moscow, 2009, 220–228; Proc. Steklov Inst. Math., 265 (2009), 208–216
Citation in format AMSBIB
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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