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Equiconvergence of expansions in multiple Fourier series and in fourier integrals with “lacunary sequences of partial sums”

Mathematical Notes, 2016
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Bloshanskii, I. L., Grafov, D. A.
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Maximal sets of convergence and unbounded divergence of multiple fourier series with J κ -lacunary sequence of partial sums

Mathematical Notes, 2009
The authors characterize the structure and geometry of maximal sets of unbounded divergence and maximal sets of convergence almost everywhere of multiple Fourier series with a \(J_{k}\)-lacunary sequence of rectangular partial sums \(S_{n^{\left( \alpha \right) }\left[ J_{k}\right] }\left( x;f\right) \) for functions \(f\in L_{p}\left( T^{N}\right)\), \
Bloshanskii, I. L., Lifantseva, O. V.
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Structural and geometric characteristics of sets of convergence and divergence of multiple Fourier series with J k -lacunary sequence of rectangular partial sums

Analysis Mathematica, 2013
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Bloshanskii, I. L., Lifantseva, O. V.
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Equiconvergence of expansions in multiple trigonometric Fourier series and integrals in the case of a lacunary sequence of partial sums

Doklady Mathematics, 2013
296 We investigate the equiconvergence onN = (-π, π) N of expansions in multiple trigonometric Fourier series and Fourier integrals of functions f ∈ Lp( N ) and g ∈ L p ( N ), p > 1, N ≥ 2, g(x )= f (x) onN , in the case when the "partial sums" of these expansions, i.e., Sn(x; f ) and Jα(x; g), respectively, have "indices" n =( n1, n2, …, nN) ∈ N ...
I. L. Bloshanskii, D. A. Grafov
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ON THE COMMUTATIVITY OF MULTIPLE SERIES AND BASIC SEQUENCE

Acta Mathematica Scientia, 2003
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To Compare the Active Sites of a Series of Astacin Family Proteases by Multiple Sequence Alignment and Homology Modelling Methods

2015
The astacins, a family of zinc-dependent endopeptidases have been widely detected in animal kingdom from humans to bacteria. They play a diverse role in both mature and developmental systems ranging from bone morphogenesis, tissue differentiation, hatching process, digestive function and in different diseases including cancer, inflammation, fibrosis ...
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Use of Higher-Order Moments and related Distribution Series Expansions for Noise Characterisation and Performance Evaluation in Few-User Asynchronous Direct-Sequence Code Division Multiple Access (DS/CDMA) Systems

1999
This work aims at proposing a higher-order moments analysis, in order to obtain an effective characterisation (in a non-Gaussian sense) of the global DS/CDMA noise in the case of few-user systems and short spreading codes. The use of the Edgeworth series expansion, whose terms are directly linked with the statistical cumulants allows to reach a good ...
GIULINI, SAVERIO   +3 more
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