The Poisson Kernel for Heisenberg Polynomials on the Disk.
The quantized Jacobi polynomials
The author studies a system of polynomials orthogonal at a finite set of points its weight approximating that of the orthogonal system of classical Jacobi polynomials.
The restricted Toda chain, exponential Riordan arrays, and Hankel transforms.
The second-order self-associated orthogonal sequences.
The space of Fourier-Haar multipliers.
The spectrum of singularities of Riemann's function.
We determine the Hölder regularity of Riemann's function at each point; we deduce from this analysis its spectrum of singularities, thus showing its multifractal nature.
The symmetrical -semiclassical orthogonal polynomials of class one.
The two-parameter operators.
The unconditional pointwise convergence of orthogonal seriesin over a von Neumann algebra
The paper is devoted to some problems concerning a convergence of pointwise type in the -space over a von Neumann algebra M with a faithful normal state Φ [3]. Here is the completion of M under the norm .
The use of fractional B-splines wavelets in multiterms fractional ordinary differential equations.
The wavelet characterization of the space Weak H¹
The space Weak H¹ was introduced and investigated by Fefferman and Soria. In this paper we characterize it in terms of wavelets. Equivalence of four conditions is proved.
The wavelet type systems
We consider biorthogonal systems of functions on the interval [0,1] or 𝕋 which have the same dyadic scaled estimates as wavelets. We present properties and examples of these systems.
The weak type inequality for the Walsh system
The main aim of this paper is to prove that the maximal operator is bounded from the Hardy space to weak- and is not bounded from to .
The 'Window Problem' for Series of Complex Exponentials.
The -variants of a prescribed sequence of orthogonal polynomials.
The φ-transform and wavelet characterizations of Herz-type spaces.
In this paper, the authors establish the phi-transform and wavelet characterizations for some Herz and Herz-type Hardy spaces by means of a local version of the discrete tent spaces at the origin.
Theoretical aspects of a multiscale analysis of the eigenoscillations of the Earth.
The elastic behaviour of the Earth, including its eigenoscillations, is usually described by the Cauchy-Navier equation. Using a standard approach in seismology we apply the Helmholtz decomposition theorem to transform the Fourier transformed Cauchy-Navier equation into two non-coupled Helmholtz equations and then derive sequences of fundamental solutions for this pair of equations using the Mie representation. Those solutions are denoted by the Hansen vectors Ln,j, Mn,j, and Nn,j in geophysics....
Thin sets defined by a sequence of continuous functions
Three cases of normality of Hessenberg's matrix related with atomic complex distributions.
Tight Frames of Multidimensional Wavelets.