A multiplier theorem for the Hankel transform.
Riesz function technique is used to prove a multiplier theorem for the Hankel transform, analogous to the classical Hörmander-Mihlin multiplier theorem (Hörmander (1960)).
Applicationsof Generalized Perron Trees to Maximal Functions and Density Bases.
Bi-Lipschitz decomposition of Lipschitz functions into a metric space.
Characterization of Bessel sequences.
Let H be a separable Hilbert space, L(H) be the algebra of all bounded linear operators of H and Bess(H) be the set of all Bessel sequences of H. Fixed an orthonormal basis E = {ek}k∈N of H, a bijection αE: Bess(H) → L(H) can be defined. The aim of this paper is to characterize α-1E (A) for different classes of operators A ⊆ L(H). In particular, we characterize the Bessel sequences associated to injective operators, compact operators and Schatten p-classes.
Characterization of Fourier Transforms of Vector Valued Functions and Measures
Fourier transforms of Lipschitz functions on certain Lie groups.
On some expansions of p-adic functions
On the Asymptotic Behaviour of the Gthetak-means of Eigenfunction Expansion Related to the Slowly Oscillating Functions With Remainder Term
On unconditional convergence of Haar series
Regularity of domains of parameterized families of closed linear operators
The purpose of this paper is to provide a method of reduction of some problems concerning families of linear operators with domains to a problem in which all the operators have the same domain . To do it we propose to construct a family of automorphisms of a given Banach space X having two properties: (i) the mapping is sufficiently regular and (ii) for t ∈ . Three effective constructions are presented: for elliptic operators of second order with the Robin boundary condition with a parameter;...
Sampling of Band-Limited Vectors.
Signals generated in memristive circuits
Signals generated in circuits that include nano-structured elements typically have strongly distinct characteristics, particularly the hysteretic distortion. This is due to memristance, which is one of the key electronic properties of nanostructured materials. In this article, we consider signals generated from a memrsitive circuit model. We demonstrate numerically that such signals can be efficiently represented in certain custom-designed nonorthogonal bases. The proposed method ensures that the...
Skew-orthogonal polynomials of a discrete variable.
The Fourier transforms of Lipschitz functions on the Heisenberg group.
The Heisenberg uncertainty relation in harmonic analysis on -adic numbers field
In this paper, two important geometric concepts–grapical center and width, are introduced in -adic numbers field. Based on the concept of width, we give the Heisenberg uncertainty relation on harmonic analysis in -adic numbers field, that is the relationship between the width of a complex-valued function and the width of its Fourier transform on -adic numbers field.
Une preuve rapide du théorème de Beurling et Helson sur les endomorphismes de l'algèbre l¹(Z)
Weak*-Dense Subspaces of Loo (R).
Weyl-Heisenberg frame in -adic analysis
In this paper, we establish an one-to-one mapping between complex-valued functions defined on and complex-valued functions defined on -adic number field , and introduce the definition and method of Weyl-Heisenberg frame on hormonic analysis to -adic anylysis.
О коэффициентах Фурье
О чезаровской суммируемости рядов по периодическим мультипликативным ортонормированным системам