In this paper we deal with local Besov spaces of periodic functions of one variable. We characterize these spaces in terms of summability conditions on the coefficients in series expansions of their elements with respect to an orthogonal Schauder basis of trigonometric polynomials. We consider a Schauder basis that was constructed by using ideas of a periodic multiresolution analysis and corres...

the article introduces cyclic dilation groups and finite affine groups for prime integers, and  as an application of this theory it presents a unified group theoretical approach for the  cyclic wavelet transform (cwt) of prime dimensional periodic signals.

This paper compares the performance of face image retrieval system based on discrete wavelet transforms and Lifting wavelet transforms with principal component analysis (PCA). These techniques are implemented and their performances are investigated using frontal facial images from the ORL database. The Discrete Wavelet Transform is effective in representing image features and is suitable in Fac...

The selection of filter bank in wavelet compression is crucial, affecting image quality and system design. Recently, the biorthogonal coiflet (cooklet) family of wavelet filters has been constructed [2] [4], and explicit frequency domain formulae have been developed [2] in the Bernstein polynomial basis. In this paper we use the Bernstein basis for frequency domain design and construction of bi...

Abstract A physically relevant unitary irreducible non-projective representation of the Galilei group is possible in Koopman–von Neumann formulation classical mechanics. This characterized by vanishing central charge algebra. contrast to quantum case where mass plays role charge. Here we show, direct construction, that mechanics also allows for a projective We extend result certain kind quantum...

As the internet search evolves toward multimedia content based search and information retrieval, audio content identification and retrieval will likely become one of the key components of next generation internet search machines. In this paper we consider the specific problem of identifying the classical music composition of an unknown performance of the composition. We develop and evaluate a w...

Let  $varpi$ be a representation of the homogeneous space $G/H$, where $G$ be a locally compact group and  $H$ be a compact subgroup of $G$. For  an admissible wavelet $zeta$ for $varpi$  and $psi in L^p(G/H), 1leq p <infty$, we determine a class of bounded  compact operators  which are related to continuous wavelet transforms on homogeneous spaces and they are called localization operators.

The work is devoted to the experimental comparison of accuracy classification methods on problem pattern recognition in images using wavelet analysis technologies and without. In particular, interaction ring-projection wavelet-fractal method for identifying features with classical such as "Naive Bayes classifier" "Support vector machines" investigated. test results are given form a table. As re...

Surface wavelet representations [1] are a generalization of classical wavelets on the real line. They allow us to build a multilevel model of spatial data that is defined on an irregular mesh describing a general domain. Such wavelet representations differ from the classical case in that the wavelet filters are spatially variant. Using surface wavelets, one can develop a biorthogonal geometry-a...