Results 31 to 40 of about 9,034,037 (147)
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 +2 more
wiley +1 more source
Existence and Continuity of Solutions to a Class of Pseudodifferential Equations over p‐Adic Field
Mathematical Problems in Engineering, Volume 2013, Issue 1, 2013., 2013 We study the pseudodifferential operator Tα and the pseudodifferential equations of type Tαu+u=δxk over p‐adic field ℚp, where δxk is the Dirac delta function. We discuss the existence and uniqueness of solutions to the equations. Furthermore, we give conditions for the continuity of the solutions uk when u belongs to the space L2(ℚp).
Bo Wu, Guo-Cheng Wu
wiley +1 more source
ON SUMMABILITY IN $L^p$- NORM ON GENERAL VILENKIN GROUPS [PDF]
Taiwanese Journal of Mathematics, 2000 Let \((\chi_k, k\in \mathbb{N})\) be the Vilenkin system, \(\widehat f(k)\) be the \(k\)th Vilenkin-Fourier coefficient and \[ L_n(\Lambda, f)= \sum^n_{k=0} \lambda_{n,k}\widehat f(k)\chi_k, \] where \(\Lambda= [\lambda_{n,k}]\) and \(\lambda_{n,0}= 1\), \(\lambda_{n,k}= 0\) for all \(k> n\) \((n\in\mathbb{N})\).
Avdispahić, Muharem, Pepić, Medo
openaire +3 more sources
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 +2 more
wiley +1 more source
Cosmic Strings and Their Induced Non‐Gaussianities in the Cosmic Microwave Background
Advances in Astronomy, Volume 2010, Issue 1, 2010., 2010 Motivated by the fact that cosmological perturbations of inflationary quantum origin were born Gaussian, the search for non‐Gaussianities in the cosmic microwave background (CMB) anisotropies is considered as the privileged probe of nonlinear physics in the early universe. Cosmic strings are active sources of gravitational perturbations and incessantly
Christophe Ringeval, Eiichiro Komatsu
wiley +1 more source
Antea Group Archeologie 2020/159
, 2021 In augustus 2020 – maart 2021 heeft Antea Group een archeologisch bureauonderzoek en inventariserend veldonderzoek uitgevoerd ter voorbereiding op het verleggen van een DN400 drinkwaterleiding in Ewijk, gemeente Beuningen.
Fens, R.L. (Antea Group) +1 more
core +1 more source
Smoothness conditions and integrability theorems on bounded Vilenkin groups [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1988 AbstractVarious criteria, in terms of forward differences and related operations on coefficients, are shown to imply that certain series on bounded Vilenkin groups represent integrable functions. These results include analogues of known integrability theorems for trigonometric series.
Bloom, W.R., Fournier, J.J.F.
openaire +2 more sources
Antea Group Archeologie 2019/164
, 2020 projectnummer 456639 rapportvolgnummer 2019/164 De aanleiding tot het uitvoeren van dit bureauonderzoek en inventariserend veldonderzoek door middel van boringen is de voorgenomen sanering c.q.
Fens, R. (Antea Group) +9 more
core +1 more source
Foundations for Applications of Gibbs Derivatives in Logic Design and VLSI
VLSI Design, Volume 14, Issue 1, Page 65-81, 2002., 2002 New technologies and increased requirements for performances of digital systems require new mathematical theories and tools as a basis for future VLSI CAD systems. New or alternative mathematical approaches and concepts must be suitable to solve some concrete problems in VLSI and efficient algorithms for their efficient application should be provided ...
Radomir S. Stanković +2 more
wiley +1 more source
The Liouville theorem for a class of Fourier multipliers and its connection to coupling
Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2374-2394, July 2024.Abstract The classical Liouville property says that all bounded harmonic functions in Rn$\mathbb {R}^n$, that is, all bounded functions satisfying Δf=0$\Delta f = 0$, are constant. In this paper, we obtain necessary and sufficient conditions on the symbol of a Fourier multiplier operator m(D)$m(D)$, such that the solutions f$f$ to m(D)f=0$m(D)f=0$ are ...
David Berger +2 more
wiley +1 more source