Results 31 to 40 of about 106,350 (257)

Sinc-Fractional Operator on Shannon Wavelet Space

Frontiers 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

Journal 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: mathematics and applications

, 2004
The notion of wavelets is defined. It is briefly described {\it what} are wavelets, {\it how} to use them, {\it when} we do need them, {\it why} they are preferred and {\it where} they have been applied.
A. Grossman, A. Haar, A. V. Apanasenko, C. K. Chui, E. A. Wolf De, G. Erlebacher, G. Kaiser, I. Daubechies, I. M. Dremin, I. M. Dremin, I. M. Dremin, I. M. Dremin, I. M. Dremin, I. M. Dremin, J. Morlet, K. Hernandez, L. A. N. Amaral, N. M. Astafyeva, N. M. Astafyeva, P. C. Ivanov, R. Carmona, S. Mallat, S. Thurner, Y. Meyer, Y. Meyer, Y. Meyer   +25 more
core   +2 more sources

NONUNIFORM SUPER WAVELETS IN 𝐿^2(K)

Проблемы 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, Abdullah A. H. Ahmadini, M. Ahmad   +2 more
doaj   +1 more source

Molecular bases of circadian magnesium rhythms across eukaryotes

FEBS Letters, EarlyView.
Circadian rhythms in intracellular [Mg2+] exist across eukaryotic kingdoms. Central roles for Mg2+ in metabolism suggest that Mg2+ rhythms could regulate daily cellular energy and metabolism. In this Perspective paper, we propose that ancestral prokaryotic transport proteins could be responsible for mediating Mg2+ rhythms and posit a feedback model ...
Helen K. Feord, Gerben van Ooijen
wiley   +1 more source

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

Journal 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, Kangwen Sun, Jun Huang, Lifeng Wang   +3 more
doaj   +1 more source

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

Advanced 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, G. Alsharahi, M. Aghoutane, N. A. Touhami   +3 more
doaj   +1 more source

Wavelets and graph $C^*$-algebras

, 2016
Here we give an overview on the connection between wavelet theory and representation theory for graph $C^{\ast}$-algebras, including the higher-rank graph $C^*$-algebras of A. Kumjian and D. Pask.
A. Jonsson, A. Kumjian, A. Kumjian, A. Kumjian, A. Kumjian, A. Kumjian, A. Sims, A. Sims, A. Skalski, C. Farsi, C. Farthing, D. Dutkay, D. Hammond, D. Hammond, D. Pask, D. Pask, D. Pask, D. Pask, D. Pask, D.E. Dutkay, D.E. Dutkay, D.G. Evans, D.I. Robertson, D.I. Robertson, D.W. Kribs, F.K. Chung, G. Robertson, G. Robertson, I. Raeburn, J. Spielberg, J.E. Hutchinson, K.R. Davidson, K.R. Davidson, M. Marcolli, N. Brownlowe, O. Bratteli, R. Strichartz, S. Mallat, S. Power, T. Carlsen   +39 more
core   +1 more source

Shannon Wavelets Theory [PDF]

Mathematical Problems in Engineering, 2008
Shannon wavelets are studied together with their differential properties (known as connection coefficients). It is shown that the Shannon sampling theorem can be considered in a more general approach suitable for analyzing functions ranging in multifrequency bands. This generalization coincides with the Shannon wavelet reconstruction of L2(ℝ) functions.
openaire   +2 more sources

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source