On deviation of harmonic almost periodic functions from their boundary values

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Home Editorial board Publication ethics Peer review guidelines Latest issue All issues Rules for authors Online submission system's guidelines Submit manuscript Contacts Address: Vatutina st. 53, Vladikavkaz, 362025, RNO-A, Russia Phone: (8672)23-00-54 E-mail: rio@smath.ru	DOI: 10.23671/VNC.2015.4.5975 On deviation of harmonic almost periodic functions from their boundary values Khasanov, Yu. Kh. Vladikavkaz Mathematical Journal 2015. Vol. 17. Issue 4. Abstract: Some estimates of a measure of displacements of harmonic almost periodic functions from their boundary values are obtained. Uniform almost periodic functions are considered as boundary functions and the estimates are stated in terms of modulus of continuity. Keywords: almost periodic function, harmonic function, boundary values, modulus of continuity Language: Russian Download the full text For citation: Khasanov Yu. Kh. On deviation of harmonic almost periodic functions from their boundary values. Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 17, no. 4, pp.80-85. DOI 10.23671/VNC.2015.4.5975 + References 1. Levitan B. M. Pochti-Periodicheskie Funkcii. M.-L., Gostehizdat, 1947. 2. Bor G. Pochti Periodicheskie Funkcii [Fastperiodische Funktionen], M., Knizhnyj dom “Librokom”, 2009 (Russian). 3. Timan A.F. Teorija Priblizhenija Funkcij Dejstvitel'nogo Peremennogo. M., Fizmatgiz, 1960 (Russian). 4. Hill E., Tamarkin I. On the absolute integrability of Fourier transforms. Fundam. Math., 1935, vol. 25, pp. 329-352. 5. Timan M. F. The approximation of functions defined on the whole real axis by entire functions of exponential type. Izv. Vyssh. Uchebn. Zaved. Matematika, 1968, no. 2, pp. 89-101 (Russian). 6. Hasanov Ju. H. On deviation of harmonic almost functions from their boundary values. Mater. 17-j Mezhdunar. Saratovskoj Zimnej Shkoly, Posvjashh. 150-letiju so Dnja Rozhdenija V. A. Steklova “Sovremennye Problemy Teorii Funkcij i ih Prilozhenij”, Saratov, 2014, pp. 282-285 (Russian). The sole copyright holder of the published work is the Founder of the Vladikavkaz Mathematical Journal. The terms of use of this work are governed by an open license (Creative Commons Attribution-NonCommercial 4.0 International). The use of metadata of the scientific article, including the title, abstract, author information, references, identifiers, and other bibliographic description elements for subsequent unrestricted use, is carried out under the terms of the CC BY or CC0 open licenses. ← Contents of issue


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