Results 271 to 280 of about 3,545,090 (308)

L p –Solutions of Vector Refinement Equations with General Dilation Matrix

Acta Mathematica Sinica, English Series, 2005
The purpose of this paper is to investigate the solutions of refinement equations of the form \[ \varphi(x)= \sum_{\alpha\in\mathbb{Z}^s}a(\alpha)\,\varphi(Mx-\alpha),\quad x\in\mathbb{R}^s, \] where the vector of functions \(\varphi= (\varphi_1,\dots,\varphi_r)^T\) is in \((L_p(\mathbb{R}^s))^r ...
Li, Song, Hu, Rueifang, Wang, Xiangqing
openaire   +1 more source

Wheeler–DeWitt Equation with a Screened-Coulomb Dilation Potential

Few-Body Systems, 2013
Wheeler–DeWitt equation for anisotropically expanding homogeneous high-dimension spaces is approximately solved under a screened-coulomb dilation potential via an appropriate approximation. The wave function is reported in terms of the Jacobi polynomials and eigenvalues and eigenfunctions are reported via the Nikiforov–Uvarov technique.
S. Zarrinkamar, H. Hassanabadi, A. A. Rajabi   +2 more
openaire   +1 more source

A characterization of dilatations and a functional equation

Journal of Geometry, 1984
Verf. beweist: Es sei \(\sigma:{\mathbb{R}}^ 2\to {\mathbb{R}}^ 2\) eine Abbildung mit (1) Für alle \(p,q\in {\mathbb{R}}^ 2\) mit \((p-q)^ 2=1\) sind p-q und \(\sigma(p)-\sigma(q)\) linear abhängig. (2) Es gibt \(p_ 0\in {\mathbb{R}}^ 2\), so daß \(\sigma\) in \(p_ 0\) stetig ist. Dann ist \(\sigma\) eine Dilatation; d.h.
openaire   +2 more sources

On the local properties of solutions of the nonlinear Beltrami equation

Journal of Mathematical Sciences, 2020
R. Salimov, M. Stefanchuk
semanticscholar   +1 more source

Remarks on L 1-solutions of dilation equations

aequationes mathematicae, 2006
We give a condition under which the equation $$ f(x) = {\sum\limits_{n = 0}^N {C_{n} f{\left( {\alpha x - \beta _{n} } \right)}} } $$ has no non-trivial L 1-solution. Moreover, we show that the existence of non-trivial L
openaire   +1 more source

An Application of the Gegenbauer Wavelet Method for the Numerical Solution of the Fractional Bagley-Torvik Equation

Russian journal of mathematical physics, 2019
H. Srivastava, F. Shah, R. Abass
semanticscholar   +1 more source

Dilation method and smoothing effects of solutions to the Benjamin–Ono equation

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1994
N. Hayashi, Keiichi Kato, T. Ozawa
semanticscholar   +1 more source

On the existence of irregular solutions of the two-coefficient dilation equation

, 2001
J. Morawiec
semanticscholar   +1 more source

Hydrocarbon and fluorocarbon solubility and dilation in poly(dimethylsiloxane): Comparison of experimental data with predictions of the Sanchez–Lacombe equation of state

, 1999
M. D. Angelis, T. Merkel, V. Bondar, B. Freeman, F. Doghieri, G. C. Sarti   +5 more
semanticscholar   +1 more source

Local decay in time of solutions to Schrödinger's equation with a dilation-analytic interaction

, 1978
A. Jensen
semanticscholar   +1 more source