Convergence and Summability of Fourier Transforms and Hardy Spaces Page 1 Applied and
Numerical Harmonic Analysis Ferenc Weisz Convergence and Summability of Fourier …

In this paper the generalized localization principle for the spherical partial sums of the
multiple Fourier series in the L_2 L 2-class is proved, that is, if f ∈ L_2 (T^ N) f∈ L 2 (TN) …

We study the behavior of Fourier integrals summed by the symbols of elliptic operators and
pointwise convergence of Fourier inversion. We consider generalized localization principle …

This work was intended as an attempt to extend the results on localization of Fourier-
Laplace series to the spectral expansions of distributions on the unit sphere. It is shown that …

It is well known that Luzin's conjecture has a positive solution for one-dimensional
trigonometric Fourier series, but in the multidimensional case it has not yet found its …

Доказана обобщённая локализация шаровых частичных сумм кратных рядов Фурье в
классе L2, т. е. если и f∈ L2 (ТN) и f= 0 на некотором открытом множестве Ω⊂ ТN, то …

It is well known that Luzin's conjecture has a positive solution for one-dimensional
trigonometric Fourier series, but in the multidimensional case it has not yet found its …

It is well known that Luzin's conjecture has a positive solution in one dimensional case and it
is still open in multidimensional case for the spherical partial sums: Sx f (x)=∑\n\²< fn einx …

In this chapter, we study the theory of one-dimensional Fourier transforms, the inversion
formula, convergence and summability of Fourier transforms. In the first two sections, we …

It is well known that Luzin's conjecture has a positive solution in one dimensional case and it
is still open in multidimensional case for the spherical partial sums: S λ f (x)=∑| n| 2< λ fne …