Fractal Wavelet Dimensions and Time Evolution
Matthias Holschneider (1994)
Recherche Coopérative sur Programme n°25
Similarity:
Matthias Holschneider (1994)
Recherche Coopérative sur Programme n°25
Similarity:
Schmeelk, John, Takači, Arpad (1997)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Mošová, Vratislava
Similarity:
Wavelets (see [2, 3, 4]) are a recent mathematical tool that is applied in signal processing, numerical mathematics and statistics. The wavelet transform allows to follow data in the frequency as well as time domain, to compute efficiently the wavelet coefficients using fast algorithm, to separate approximations from details. Due to these properties, the wavelet transform is suitable for analyzing and forecasting in time series. In this paper, Box-Jenkins models (see [1, 5]) combined...
Cornelia Kaiser, Lutz Weis (2008)
Studia Mathematica
Similarity:
We extend the classical theory of the continuous and discrete wavelet transform to functions with values in UMD spaces. As a by-product we obtain equivalent norms on Bochner spaces in terms of g-functions.
John R. Williams, Kevin Amaratunga (1997)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
Similarity:
R. Roopkumar (2009)
Colloquium Mathematicae
Similarity:
We construct a new Boehmian space containing the space 𝓢̃'(ℝⁿ×ℝ₊) and define the extended wavelet transform 𝓦 of a new Boehmian as a tempered Boehmian. In analogy to the distributional wavelet transform, it is proved that the extended wavelet transform is linear, one-to-one, and continuous with respect to δ-convergence as well as Δ-convergence.
Aparna Vyas (2009)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
Considering symmetric wavelet sets consisting of four intervals, a class of non-MSF non-MRA wavelets for L²(ℝ) and dilation 2 is obtained. In addition, we obtain a family of non-MSF non-MRA H²-wavelets which includes the one given by Behera [Bull. Polish Acad. Sci. Math. 52 (2004), 169-178].
Ü. Lepik, H. Hein (2015)
Waves, Wavelets and Fractals
Similarity:
In recent times the wavelet methods have obtained a great popularity for solving differential and integral equations. From different wavelet families we consider here the Haar wavelets. Since the Haar wavelets are mathematically most simple to be compared with other wavelets, then interest to them is rapidly increasing and there is a great number of papers,where thesewavelets are used tor solving problems of calculus. An overview of such works can be found in the survey paper by Hariharan...
Arambašić Ljiljana, Damir Bakić, Rajna Rajić (2010)
Studia Mathematica
Similarity:
The paper is a continuation of our study of dimension functions of orthonormal wavelets on the real line with dyadic dilations. The main result of Section 2 is Theorem 2.8 which provides an explicit reconstruction of the underlying generalized multiresolution analysis for any MSF wavelet. In Section 3 we reobtain a result of Bownik, Rzeszotnik and Speegle which states that for each dimension function D there exists an MSF wavelet whose dimension function coincides with D. Our method...
Lin, En-Bing, Liu, Paul C. (2004)
Journal of Applied Mathematics
Similarity:
Biswaranjan Behera (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
All wavelets constructed so far for the Hardy space H²(ℝ) are MSF wavelets. We construct a family of H²-wavelets which are not MSF. An equivalence relation on H²-wavelets is introduced and it is shown that the corresponding equivalence classes are non-empty. Finally, we construct a family of H²-wavelets with Fourier transform not vanishing in any neighbourhood of the origin.
Robert C. Morgan, G. P. Nason (1999)
Revue de Statistique Appliquée
Similarity:
Cattani, Carlo, Sánchez Ruiz, Luis M. (2004)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Upadhyay, S.K., Yadav, R.N., Debnath, L. (2009)
Surveys in Mathematics and its Applications
Similarity: