Results 21 to 30 of about 13,536 (264)

Chebyshev Wavelet Analysis

open access: yesJournal of Function Spaces, 2022
This paper deals with Chebyshev wavelets. We analyze their properties computing their Fourier transform. Moreover, we discuss the differential properties of Chebyshev wavelets due to the connection coefficients.
Emanuel Guariglia   +1 more
doaj   +1 more source

Sinc-Fractional Operator on Shannon Wavelet Space

open access: yesFrontiers in Physics, 2018
In this paper the sinc-fractional derivative is extended to the Hilbert space based on Shannon wavelets. Some new fractional operators based on wavelets are defined.
Carlo Cattani
doaj   +1 more source

Complete Invariance Property with respect to Homeomorphism over Frame Multiwavelet and Super-Wavelet Spaces

open access: yesJournal of Mathematics, 2014
We discuss the complete invariance property with respect to homeomorphism (CIPH) over various sets of wavelets containing all orthonormal multiwavelets, all tight frame multiwavelets, all super-wavelets of length n, and all normalized tight super frame ...
Saurabh Chandra Maury
doaj   +1 more source

Wavelets on the Interval and Fast Wavelet Transforms

open access: yesApplied and Computational Harmonic Analysis, 1993
The paper contains a detailed analysis of several constructions of orthonormal bases of wavelets on a finite interval. A new construction is suggested which avoids some of the disadvantages of earlier constructions.
Cohen, Albert   +2 more
openaire   +3 more sources

Wavelets in subspaces. [PDF]

open access: yesMichigan Mathematical Journal, 1996
Let \(T\) and \(D\) be the translation and unitary dilation operators on \(L^2(\mathbb{R})\) given by \((Tf)(t)= f(t- 1)\) and \((Df)(t)=\sqrt 2f(2t)\). An orthogonal wavelet for a subspace \(X\) of \(L^2(\mathbb{R})\) is a unit vector \(\psi\in X\) such that \(\{D^nT^m\psi: n,m\in\mathbb{Z}\}\) is an orthonormal basis of \(X\).
Dai, Xingde, Lu, Shijie
openaire   +3 more sources

Numerical Solutions of Fractional Integrodifferential Equations of Bratu Type by Using CAS Wavelets

open access: yesJournal of Applied Mathematics, 2013
A numerical method based on the CAS wavelets is presented for the fractional integrodifferential equations of Bratu type. The CAS wavelets operational matrix of fractional order integration is derived.
Mingxu Yi   +3 more
doaj   +1 more source

Comparison of Wavelet Packet and Wavelet in Solving Arbitrary Array of Parallel Wires Integral Equations in Electromagnetics

open access: yesAdvanced Electromagnetics, 2020
In this paper, wavelets transformation (WT) and wavelet packet transformation (WPT) are used in solving, by the method of moments, a semicircular array of parallel wires electric field integral equation.
M. Bayjja   +3 more
doaj   +1 more source

Linking neurogenesis, oligodendrogenesis, and myelination defects to neurodevelopmental disruption in primary mitochondrial disorders

open access: yesFEBS Letters, EarlyView.
Mitochondrial remodeling shapes neural and glial lineage progression by matching metabolic supply with demand. Elevated OXPHOS supports differentiation and myelin formation, while myelin compaction lowers mitochondrial dependence, revealing mitochondria as key drivers of developmental energy adaptation.
Sahitya Ranjan Biswas   +3 more
wiley   +1 more source

Wavelets transformation: A new method for signal analysis

open access: yesVojnotehnički Glasnik, 2000
In this paper a new method for signal analysis - wavelets transformation is presented. We consider basic theoretical assumptions and mathematical foundations, signal representation in time-frequency domain, fast algorithms for practical implementation ...
Branislav Todorović , Sandra Erić
doaj   +1 more source

NONUNIFORM SUPER WAVELETS IN 𝐿^2(K)

open access: yesПроблемы анализа, 2021
In this paper, we introduce the structure of nonuniform super wavelets over local fields. We shall also provide the characterization of nonuniform parseval frame, nonuniform semi-orthogonal pareseval multiwavelets, and nonuniform super wavelets over ...
O. Ahmad   +2 more
doaj   +1 more source

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