Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
22.02.1952
E-mail: Keywords: multiple trigonometrical Fourier series, Fourier orthogonal polynomial series; estimations of weight norms of maximal operators; methods of mathematics.
Subject:
The problems of convergence and summability of multiple trigonometrical Fourier series and Fourier–Jacobi series over parallelepipeds and simplexes are investigated . Some multi-dimensional analog of their equiconvergence and the loss of a classical equiconvergence are proved. The behaviour of linear means inside and on boundary of domain of orthogonality is investigated.
Main publications:
Nakhman A. D. Obobschennaya zadacha Dirikhle s granichnoi funktsiei iz klassa $L_{\nu}^p$ // Differents. uravneniya, 1990, t. 26, # 8, s. 1375–1382.
Nakhman A. D. Srednie tipa Martsinkevicha polinomialnykh razlozhenii Fure // Dokl. AN SSSR, 1991, t. 321, # 3, s. 474–477.
Nakhman A. D. O chastnykh sumakh kratnykh ryadov Fure po mnogochlenam Yakobi // Izv. vuzov. Matem., 1999, # 3, s. 46–56.
Nakhman A. D. Konstanty Lebega srednikh arifmeticheskikh dvoinykh summ Fure–Lezhandra // Izv. vuzov. Matem., 1999, # 8, s. 37–46.
Kulikov G. M., Nakhman A. D. Metod Fure v uravneniyakh matematicheskoi fiziki. M., Mashinostroenie, 2000, 155 s.
