On the Reproducing Formula of Calderon.
On the resolvents of dyadic paraproducts.
We consider the boundedness of certain singular integral operators that arose in the study of Sobolev spaces on Lipschitz curves, [P1]. The standard theory available (David and Journé's T1 Theorem, for instance; see [D]) does not apply to this case becuase the operators are not necessarily Calderón-Zygmund operators, [Ch]. One of these operators gives an explicit formula for the resolvent at λ = 1 of the dyadic paraproduct, [Ch].
On the Riesz summability of orthogonal series
On the Riesz-Fischer theorem for vector-valued functions
On the Sampling Theorem for Waveleet Subspaces.
On the self crossing six sided figure problem.
On the singular numbers for some integral operators.
Two-sided estimates of Schatten-von Neumann norms for weighted Volterra integral operators are established. Analogous problems for some potential-type operators defined on Rn are solved.
On the spectrum of the distributional kernel related to the residue.
On the Stability of Wavelet and Gabor Frames (Riesz Bases).
On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm.
The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm. We give necessary and sufficient conditions in terms of the function f generating the space.
On the strong Cesàro summability of double orthogonal series
On the strong matrix summability of derived Fourier series.
On the strong maximal function and rearrangements
On the strong maximal function and Zygmund’s class
On the strong summability and approximation of Fourier series
On the structure of solutions to elliptic problems with strong anisotropy.
On the summability of Fourier series of functions of Λ-bounded variation
On the theorem of Ivasev-Musatov. I
We give a new version of Ivasev-Musatov’s construction of a measure whose support has Lebesgue measure zero but whose Fourier transform drops away extremely rapidly.
On the theorem of Ivasev-Musatov. II
As in Part I [Annales de l’Inst. Fourier, 27-3 (1997), 97-113], our object is to construct a measure whose support has Lebesgue measure zero, but whose Fourier transform drops away extremely fast.
On the Translation Invariance of Wavelet Subspaces.