Structural and geometric characteristics of sets of convergence and divergence of multiple Fourier series with J k -lacunary sequence of rectangular partial sums

Author:

Bloshanskii I. L.,Lifantseva O. V.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference23 articles.

1. S. K. Bloshanskaya and I. L. Bloshanskii, Local smoothness conditions on a function which guarantee convergence of double Walsh-Fourier series of this function, Wavelet Analysis and Applications, Applied and Numerical Harmonic Analysis, Birkhauser (Basel, 2007), 3–11.

2. S. K. Bloshanskaya and I. L. Bloshanskii, On sufficient conditions for convergence on some measurable sets of multiple Walsh-Fourier series, Modern problems of analysis and teaching mathematics, Materials of international conference in honour of 105th birthday of S. M. Nikol’skii (Moscow, 2010), 13–14.

3. I. L. Bloshanskii, Generalized localization and convergence tests for double trigonometric Fourier series of functions from L p, p > 1, Analysis Math., 7(1981), 3–36.

4. I. L. Bloshanskii, Linear transformations of ℝN and problems of convergence of Fourier series of functions which equal zero on some set, Wavelet Analysis and Applications, Applied and Numerical Harmonic Analysis, Birkhauser (Basel, 2007), 13–24.

5. I. L. Bloshanskii, Linear transformations of ℝN and problems of convergence of multiple Fourier series of functions in L p, p ≥ 1, Acta Sci. Math. (Szeged), 75(2009), 575–603.

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