01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
1.09.1985
E-mail:
Keywords:
entire function, function of sine type, zero sequence.
UDC:
517.5, 517.547.2, 517.538.2
Subject:
Estimates for canonical products. Completeness of the system of the exponents and its basis properties in weight spaces L^p.
Main publications:
Yukhimenko A. A. Completeness of the system of the exponents and its basis properties in weight spaces L^p(-\pi,\pi) // Mathematical Notes, 2007, 81/5.
A. A. Yukhimenko, “Canonical products generated by perturbations of the sequence of integers, and their asymptotic estimation”, Izv. RAN. Ser. Mat., 74:5 (2010), 205–224; Izv. Math., 74:5 (2010), 1083–1101
2.
A. A. Yukhimenko, “Asymptotic estimates for the canonical products with zeros of a particular form”, Sibirsk. Mat. Zh., 51:4 (2010), 944–954; Siberian Math. J., 51:4 (2010), 755–764
3.
A. A. Yukhimenko, “Bases of exponents in weighted spaces $L^p(-\pi,\pi)$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 2, 36–38
A. A. Yukhimenko, “Completeness and Basis Properties of Systems of Exponentials in Weighted Spaces $L^p(-\pi,\pi)$”, Mat. Zametki, 81:5 (2007), 776–788; Math. Notes, 81:5 (2007), 695–707
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