Results 1 to 10 of about 16 (16)

Frames associated with shift invariant spaces on positive half line

open access: yesActa Universitatis Sapientiae: Mathematica, 2021
In this paper, we introduce the notion of Walsh shift-invariant space and present a unified approach to the study of shift-invariant systems to be frames in L2(ℝ+).
Ahmad Owais, Ahmad Mobin, Ahmad Neyaz
doaj   +1 more source

Wigner-Ville distribution and ambiguity function associated with the quaternion offset linear canonical transform

open access: yesDemonstratio Mathematica, 2022
Wigner-Ville transform or Wigner-Ville distribution (WVD) associated with quaternion offset linear canonical transform (QOLCT) was proposed by Bhat and Dar. This work is devoted to the development of the theory proposed by them, which is an emerging tool
Bhat Mohammad Younus   +3 more
doaj   +1 more source

Besov-type spaces for the κ-Hankel wavelet transform on the real line

open access: yesConcrete Operators, 2021
In this paper, we shall introduce functions spaces as subspaces of Lpκ (ℝ) that we call Besov-κ-Hankel spaces and extend the concept of κ-Hankel wavelet transform in Lpκ(ℝ) space.
Pathak Ashish, Pandey Shrish
doaj   +1 more source

Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions

open access: yesDemonstratio Mathematica, 2019
Reproducing Kernel Hilbert Spaces (RKHS) and their kernel are important tools which have been found to be incredibly useful in many areas like machine learning, complex analysis, probability theory, group representation theory and the theory of integral ...
Prasad Srijanani Anurag
doaj   +1 more source

Métodos tiempo-frecuencia basados en la transformada wavelet

open access: yesRevista de Matemática: Teoría y Aplicaciones, 2012
La información contenida en una señal analógica se evidencia por su representación numérica. El par de Fourier en dos representaciones complementarias explicita las estructuras temporales y frecuenciales. Para detectar y caracterizar eventos que combinan
Eduardo P. Serrano   +2 more
doaj   +1 more source

Scaling functions on the spectrum

open access: yesActa Universitatis Sapientiae: Mathematica, 2018
A generalization of Mallat’s classic theory of multiresolution analysis based on the theory of spectral pairs was considered by Gabardo and Nashed [4] for which the translation set Λ = {0, r/N}+2 ℤ is no longer a discrete subgroup of ℝ but a spectrum ...
Abdullah, Shah Firdous A.
doaj   +1 more source

CALDERÓN’S INVERSE PROBLEM WITH A FINITE NUMBER OF MEASUREMENTS

open access: yesForum of Mathematics, Sigma, 2019
We prove that an $L^{\infty }$ potential in the Schrödinger equation in three and higher dimensions can be uniquely determined from a finite number of boundary measurements, provided it belongs to a known finite dimensional subspace ${\mathcal{W}}$. As a
GIOVANNI S. ALBERTI, MATTEO SANTACESARIA
doaj   +1 more source

Polyphase matrix characterization of framelets on local fields of positive characteristic

open access: yesActa Universitatis Sapientiae: Mathematica, 2017
An important tool for the construction of framelets on local fields of positive characteristic using unitary extension principle was presented by Shah and Debnath [Tight wavelet frames on local fields, Analysis, 33 (2013), 293-307].
Shah F. A., Bhat M. Y.
doaj   +1 more source

BREAKING THE COHERENCE BARRIER: A NEW THEORY FOR COMPRESSED SENSING

open access: yesForum of Mathematics, Sigma, 2017
This paper presents a framework for compressed sensing that bridges a gap between existing theory and the current use of compressed sensing in many real-world applications.
BEN ADCOCK   +3 more
doaj   +1 more source

Quadratic phase S-Transform: Properties and uncertainty principles

open access: yese-Prime: Advances in Electrical Engineering, Electronics and Energy, 2023
In this paper, a novel quadratic phase S-transform (QPST) is proposed, by generalizing the S-transform (ST) with five parameters a, b, c,d and e. QPST displays the time and quadratic phase domain-frequency information jointly in the time-frequency plane.
M. Younus Bhat, Aamir H. Dar
doaj  

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