Multivariate trigonometric wavelet decompositions
نویسندگان
چکیده
منابع مشابه
Decompositions of trigonometric polynomials with applications to multivariate subdivision schemes
We study multivariate trigonometric polynomials satisfying the “sum-rule” conditions of a certain order. Based on the polyphase representation of these polynomials relative to a general dilation matrix, we develop a simple constructive method for a special type of decomposition of such polynomials. These decompositions are of interest in the analysis of convergence and smoothness of multivariat...
متن کاملTrigonometric rational wavelet bases
We propose a construction of periodic rational bases of wavelets First we explain why this problem is not trivial Construction of wavelet basis is not possible neither for the case of alge braic polynomials nor for the case of rational algebraic functions Of course algebraic polynomials do not belong to L R Nevertheless they can belong to the closure of L R in topology of the generalized conver...
متن کاملJu l 2 00 9 Decompositions of Trigonometric Polynomials with Applications to Multivariate Subdivision Schemes
We study multivariate trigonometric polynomials, satisfying a set of constraints close to the known Strung-Fix conditions. Based on the polyphase representation of these polynomials relative to a general dilation matrix, we develop a simple constructive method for a special type of decomposition of such polynomials. These decompositions are of interest to the analysis of convergence and smoothn...
متن کاملPartial Fraction Decompositions and Trigonometric Sum Identities
The partial fraction decomposition method is explored to establish several interesting trigonometric function identities, which may have applications to the evaluation of classical multiple hypergeometric series, trigonometric approximation and interpolation. 1. Outline and introduction Recently, in an attempt to prove, through the Cauchy residue method, Dougall’s theorem (Dougall [6, 1907], se...
متن کاملMeasures in wavelet decompositions
In applications, choices of orthonormal bases in Hilbert space H may come about from the simultaneous diagonalization of some specific abelian algebra of operators. This is the approach of quantum theory as suggested by John von Neumann; but as it turns out, much more recent constructions of bases in wavelet theory, and in dynamical systems, also fit into this scheme. However, in these modern a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1995
ISSN: 0898-1221
DOI: 10.1016/0898-1221(95)00094-1