Results 31 to 40 of about 17,183,410 (158)

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

Lebesgue and Vilenkin-Lebesgue points and a.e. Convergence of T means with respect to Vilenkin systems of integrable functions

, 2021
In this paper we derive converge of $T$ means of Vilenkin-Fourier series with monotone coefficients of integrable functions in Lebesgue and Vilinkin-Lebesgue points. Moreover, we discuss pointwise and norm convergence in $L_p$ norms of such $T$ means.
Baramidze, Davit, Gogolashvili, Nato, Nadirashvili, Nato   +2 more
openaire   +2 more sources

Universality Properties of a Double Series by the Generalized Walsh System

International Journal of Analysis, Volume 2013, Issue 1, 2013., 2013
We consider a question on existence of a double series by the generalized Walsh system, which is universal in weighted Lμ1[0,1] 2 spaces. In particular, we construct a weighted function μ(x, y) and a double series by generalized Walsh system of the form ∑n,k=1∞ cn,kψn(x)ψk(y) with the ∑n,k=1∞ |cn,k|q<∞ for all q > 2, which is universal in Lμ1[0,1] 2 ...
Sergo A. Episkoposian, Frédéric Robert
wiley   +1 more source

Almost Everywhere Summability of Vilenkin-Fourier Series

, 2022
In this PhD dissertation we discuss, develop and apply this fascinating theory connected to modern harmonic analysis. In particular, we make new estimations of Vilenkin-Fourier Dirichlet kernel, Cesaro kernel and prove some new results concerning ...
Adimasu, Anteneh Tilahun
core  

Conceptual Problems in Quantum Gravity and Quantum Cosmology

International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013
The search for a consistent and empirically established quantum theory of gravity is among the biggest open problems of fundamental physics. The obstacles are of formal and of conceptual nature. Here, I address the main conceptual problems, discuss their present status, and outline further directions of research.
Claus Kiefer, M. Montesinos, M. Sebawe Abdalla   +2 more
wiley   +1 more source

Recent developments in the theory of Walsh series

International Journal of Mathematics and Mathematical Sciences, 1982
We survey research done on the theory of Walsh series during the decade 1971-1981. Particular attention is given to convergence of Walsh-Fourier series, gap Walsh series, growth of Walsh-Fourier coefficients, dyadic differentiation, and uniqueness of ...
William R. Wade
doaj   +1 more source

Solving Abel’s Type Integral Equation with Mikusinski’s Operator of Fractional Order

Advances in Mathematical Physics, Volume 2013, Issue 1, 2013., 2013
This paper gives a novel explanation of the integral equation of Abel’s type from the point of view of Mikusinski’s operational calculus. The concept of the inverse of Mikusinski’s operator of fractional order is introduced for constructing a representation of the solution to the integral equation of Abel’s type.
Ming Li, Wei Zhao, Carlo Cattani
wiley   +1 more source

Bianchi Types II, VIII, and IX String Cosmological Models in Brans‐Dicke Theory of Gravitation

International Scholarly Research Notices, Volume 2012, Issue 1, 2012., 2012
Bianchi types II, VIII, and IX string cosmological models are obtained and presented in a scalar‐tensor theory of gravitation proposed by Brans and Dicke (1961) for λ + ρ = 0. We also established the existence of only Bianchi type IX vacuum cosmological model for λ = ρ, where λ and ρ are tension density and energy density of strings, respectively. Some
V. U. M. Rao, M. Vijaya Santhi, J. Bičák, G. Cleaver, W.-H. Steeb   +4 more
wiley   +1 more source

mBm‐Based Scalings of Traffic Propagated in Internet

Mathematical Problems in Engineering, Volume 2011, Issue 1, 2011., 2011
Scaling phenomena of the Internet traffic gain people′s interests, ranging from computer scientists to statisticians. There are two types of scales. One is small‐time scaling and the other large‐time one. Tools to separately describe them are desired in computer communications, such as performance analysis of network systems.
Ming Li, Wei Zhao, Shengyong Chen, Cristian Toma   +3 more
wiley   +1 more source

Adaptive Weighted Variation Restricted Cesàro Means on Walsh‐Type Systems and Applications to Noise‐Robust Signal Smoothing

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
We investigate the convergence and approximation properties of Cesàro means of Walsh‐type Fourier series for functions belonging to classes of weighted bounded variation. Working within the dyadic and 2‐adic framework, we establish new sufficient conditions under which Cesàro means exhibit improved stability and convergence behavior compared with ...
Anteneh Tilahun Adimasu, Shikha Binwal
wiley   +1 more source