Geodesic
On deviation of harmonic almost periodic functions from their boundary values
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 4, pp. 80-85 
Yu. Kh. Khasanov. On deviation of harmonic almost periodic functions from their boundary values. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 4, pp. 80-85. http://geodesic.mathdoc.fr/item/VMJ_2015_17_4_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Levitan B. M., Pochti-periodicheskie funktsii, Gostekhizdat, M.–L., 1947

[2] Bor G., Pochti periodicheskie funktsii, Knizhnyi dom “Librokom”, M., 2009

[3] Timan A. F., Teoriya priblizheniya funktsii deistvitelnogo peremennogo, Fizmatgiz, M., 1960

[4] Hill E., Tamarkin I., “On the absolute integrability of Fourier transforms”, Fundam. Math., 25 (1935), 329–352 | Zbl

[5] Timan M. F., “Priblizhenie funktsii, zadannykh na vsei veschestvennoi osi, tselymi funktsiyami eksponentsialnogo tipa”, Izv. vuzov. Matematika, 1968, no. 2, 89–101 | MR | Zbl

[6] Khasanov Yu. Kh., “Ob otklonenii garmonicheskikh pochti-periodicheskikh funktsii ot ikh znachenii na granitse”, Mater. 17-i mezhdunar. Saratovskoi zimnei shkoly, posvyasch. 150-letiyu so dnya rozhdeniya V. A. Steklova “Sovremennye problemy teorii funktsii i ikh prilozhenii”, Saratov, 2014, 282–285