On deviation of harmonic almost periodic functions from their boundary values

		ISSN 1683-3414 (Print) • ISSN 1814-0807 (Online)

Home Editorial board Publication ethics Peer review guidelines Current Archive Rules for authors Contacts Address: Markusa st. 22, Vladikavkaz, 362027, RNO-A, Russia Phone: (8672)50-18-06 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). ← Contents of issue


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