Results 31 to 40 of about 5,385,866 (129)
Maximal functions, Hardy spaces and Fourier multiplier theorems on unbounded Vilenkin groups [PDF]
, 2012 We consider relations between various existing concepts of Hardy spaces on Vilenkin groups. The problem of an appropriate Fourier multiplier theorem for unbounded Vilenkin groups is revisited and the conditions made more precise under which such a ...
Weisz, F. +5 more
core +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
Properties of translates of frames on Vilenkin group
, 2022 We study the properties based on the space generated by the translates of square integrable function using C-bracket on Vilenkin group. We give the necessary and sufficient condition for frame sequences by the family of translates of the function.
Mahapatra, Prasadini, Singh, Divya
openaire +2 more sources
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
Fourier transforms of Lipschitz functions on certain Lie groups
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 439-448, 2001., 2001 We study the order of magnitude of the Fourier transforms of certain Lipschitz functions on the special linear group of real matrices of order two.
M. S. Younis
wiley +1 more source
Spectral Interpretation and Applications of Decision Diagrams
VLSI Design, Volume 11, Issue 2, Page 85-105, 2000., 2000 Different Decision Diagrams (DDs) for representation of discrete functions are discussed. DDs can be derived by applying some reduction rules to Decision Trees (DTs) which in turn are graphical representations of some function expressions for discrete functions.
Bogdan J. Falkowski +1 more
wiley +1 more source