Results 21 to 30 of about 5,385,866 (129)

Modelling Lévy space‐time white noises

Journal of the London Mathematical Society, Volume 104, Issue 3, Page 1452-1474, October 2021., 2021
Abstract In this work, we compare Lévy space‐time white noises and cylindrical Lévy processes. Lévy space‐time white noises are defined as infinitely divisible independently scattered random measures and cylindrical Lévy processes are defined by means of the theory of cylindrical processes. It is shown that Lévy space‐time white noises correspond to an
Matthew Griffiths, Markus Riedle
wiley   +1 more source

Wavelet frames on Vilenkin groups and their approximation properties [PDF]

International Journal of Wavelets, Multiresolution and Information Processing, 2015
An explicit description of all Walsh polynomials generating tight wavelet frames is given. An algorithm for finding the corresponding wavelet functions is suggested, and a general form for all wavelet frames generated by an appropriate Walsh polynomial is described. Approximation properties of tight wavelet frames are also studied.
Yu. A. Farkov, Elena A. Lebedeva, Maria Skopina   +2 more
openaire   +6 more sources

N-Valid trees in wavelet theory on Vilenkin groups [PDF]

International Journal of Wavelets, Multiresolution and Information Processing, 2015
We consider a class of (N, M)-elementary step functions on the p-adic Vilenkin group. We prove that (N, M)-elementary step function generates a MRA on p-adic Vilenkin group if and only if it is generated by a special N-valid rooted tree on the set of vertices {0,1,…p - 1} with the vector (0,…,0) ∈ ℤN as a root.
Sergei Feodorovich Lukomskii, G. S. Berdnikov   +1 more
openaire   +3 more sources

Generating q‐Commutator Identities and the q‐BCH Formula

Advances in Mathematical Physics, Volume 2016, Issue 1, 2016., 2016
Motivated by the physical applications of q‐calculus and of q‐deformations, the aim of this paper is twofold. Firstly, we prove the q‐deformed analogue of the celebrated theorem by Baker, Campbell, and Hausdorff for the product of two exponentials. We deal with the q‐exponential function expq⁡(x)=∑n=0∞(xn/[n] q!), where [n] q = 1 + q + ⋯+qn−1 denotes ...
Andrea Bonfiglioli, Jacob Katriel, Antonio Scarfone   +2 more
wiley   +1 more source

Frame Multiresolution Analysis on Local Fields of Positive Characteristic

Journal of Operators, Volume 2015, Issue 1, 2015., 2015
We present a notion of frame multiresolution analysis on local fields of positive characteristic based on the theory of shift‐invariant spaces. In contrast to the standard setting, the associated subspace V0 of L2(K) has a frame, a collection of translates of the scaling function φ of the form φ(·-u(k)):k∈N0, where N0 is the set of nonnegative integers.
Firdous A. Shah, Gerd Teschke
wiley   +1 more source

Hardy‐Littlewood‐Sobolev Inequalities on p‐Adic Central Morrey Spaces

Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015
We establish the Hardy‐Littlewood‐Sobolev inequalities on p‐adic central Morrey spaces. Furthermore, we obtain the λ‐central BMO estimates for commutators of p‐adic Riesz potential on p‐adic central Morrey spaces.
Qing Yan Wu, Zun Wei Fu, Yoshihiro Sawano   +2 more
wiley   +1 more source

Magnetic String with a Nonlinear U(1) Source

Advances in High Energy Physics, Volume 2014, Issue 1, 2014., 2014
Considering the Einstein gravity in the presence of Born‐Infeld type electromagnetic fields, we introduce a class of 4‐dimensional static horizonless solutions which produce longitudinal magnetic fields. Although these solutions do not have any curvature singularity and horizon, there exists a conic singularity.
S. H. Hendi, Christian Corda
wiley   +1 more source

Strong Convergence Theorem for Vilenkin–Fourier Series [PDF]

, 2000
The so-called Vilenkin systems and the Hardy spaces Hp ...
Simon, Péter
core   +1 more source

Some Connections between the Spherical and Parabolic Bases on the Cone Expressed in terms of the Macdonald Function

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
Computing the matrix elements of the linear operator, which transforms the spherical basis of SO(3, 1)‐representation space into the hyperbolic basis, very recently, Shilin and Choi (2013) presented an integral formula involving the product of two Legendre functions of the first kind expressed in terms of 4F3‐hypergeometric function and, using the ...
I. A. Shilin, Junesang Choi, Kwang Ho Shon   +2 more
wiley   +1 more source