Results 11 to 20 of about 861 (50)
Spectral Algorithms for MRA Orthonormal Wavelets [PDF]
, 2018 Producción CientíficaOperator techniques lead to spectral algorithms to compute scaling functions and wavelets associated with multiresolution analyses (MRAs). The spectral algorithms depend on the choice of pairs of suitable orthonormal bases (ONBs).
Gómez Cubillo, Fernando +1 more
core +2 more sources
Totally positive refinable functions with general dilation M [PDF]
, 2017 We construct a new class of approximating functions that are M-refinable and provide shape preserving approximations. The refinable functions in the class are smooth, compactly supported, centrally symmetric and totally positive.
GORI, Laura, PITOLLI, Francesca
core +1 more source
Reproducing Kernel Hilbert Space and Coalescence Hidden-variable Fractal Interpolation Functions
Demonstratio 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
A discrete wavelet analysis of freak waves in the ocean
Journal of Applied Mathematics, Volume 2004, Issue 5, Page 379-394, 2004., 2004 A freak wave is a wave of very considerable height, ahead of which there is a deep trough. A case study examines some basic properties developed by performing wavelet analysis on a freak wave. We demonstrate several applications of wavelets and discrete and continuous wavelet transforms on the study of a freak wave.
En-Bing Lin, Paul C. Liu
wiley +1 more source
CALDERÓN’S INVERSE PROBLEM WITH A FINITE NUMBER OF MEASUREMENTS
Forum 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
Osiris wavelets and Set wavelets
Journal of Applied Mathematics, Volume 2004, Issue 6, Page 495-528, 2004., 2004 An alternative to Osiris wavelet systems is introduced in two dimensions. The basic building blocks are continuous piecewise linear functions supported on equilateral triangles instead of on squares. We refer to wavelets generated in this way as Set wavelets. We introduce a Set wavelet system whose homogeneous mode density is 2/5.
Guy Battle
wiley +1 more source
BREAKING THE COHERENCE BARRIER: A NEW THEORY FOR COMPRESSED SENSING
Forum 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
Wavelet analysis on a Boehmian space
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 15, Page 917-926, 2003., 2003 We extend the wavelet transform to the space of periodic Boehmians and discuss some of its properties.
R. Roopkumar
wiley +1 more source
The integral wavelet transform in weighted Sobolev spaces
Abstract and Applied Analysis, Volume 7, Issue 3, Page 135-142, 2002., 2002 The integral wavelet transform is defined in weighted Sobolev spaces, in which some properties of the transform as well as its asymptotical behaviour for small dilation parameter are studied.
Nguyen Minh Chuong, Ta Ngoc Tri
wiley +1 more source
Gabor Frames on Local Fields of Positive Characteristic
, 2016 Gabor frames have gained considerable popularity during the past decade, primarily due to their substantiated applications in diverse and widespread fields of engineering and science.
Shah, Firdous A.
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