A Note on Wavelets and S-asymptotics
Arpad Takači, Nenad Teofanov (1997)
Matematički Vesnik
Similarity:
Arpad Takači, Nenad Teofanov (1997)
Matematički Vesnik
Similarity:
S. Pilipović (2010)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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...
Matthias Holschneider (1994)
Recherche Coopérative sur Programme n°25
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].
Cattani, Carlo, Kudreyko, Aleksey (2010)
Mathematical Problems in Engineering
Similarity:
Cattani, Carlo (2010)
Mathematical Problems in Engineering
Similarity:
Cattani, Carlo, Ciancio, Armando (2005)
Balkan Journal of Geometry and its Applications (BJGA)
Similarity:
K. Trimèche (1996)
Collectanea Mathematica
Similarity:
In this work we define and study wavelets and continuous wavelet transform on semisimple Lie groups G of real rank l. We prove for this transform Plancherel and inversion formulas. Next using the Abel transform A on G and its dual A*, we give relations between the continuous wavelet transform on G and the classical continuous wavelet transform on Rl, and we deduce the formulas which give the inverse operators of the operators A and A*.
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...