Results 161 to 170 of about 21,331 (217)

Fourier-Haar coefficients

Mathematical Notes of the Academy of Sciences of the USSR, 1984
A Banach lattice E is called p-concave, \(1\leq ...
Novikov, I. Ya., Semenov, E. M.
openaire   +2 more sources

Sign Haar Transform

Proceedings of IEEE International Symposium on Circuits and Systems - ISCAS '94, 2002
A non-linear transform, called "Sign Haar Transform" has been introduced. The transform is unique and converts binary/ternary vectors into ternary spectral domain. Recursive definitions and Fast Transforms for the calculation of Sign Haar Transform have been developed.
Bogdan J. Falkowski, Susanto Rahardja
openaire   +1 more source

Crystallographic Haar Wavelets

Journal of Fourier Analysis and Applications, 2011
Let \(\Gamma\) be a \(d\)-dimensional crystallographic group and let \(a:\,{\mathbb R}^d \to {\mathbb R}^d\) be an expanding affine map. By definition, \((\Gamma,a)\)-crystallographic multiwavelets form a finite set of functions \(\{\psi^1,\ldots, \psi^L\}\), which generate an orthonormal basis, a Riesz basis or a Parseval frame for \(L^1({\mathbb R}^d)
González, Alfredo L., Moure, María del Carmen   +1 more
openaire   +2 more sources

On a Property of the Haar system

Mathematical Notes, 2006
Let \[ A_0=\{[0,1), [0,1/2), [1/2,1), [0,1/4), [1/4,1/2), [1/2,3/4), [3/4,1),\dots\} \] be the set of all binary half-open intervals, \(A=A_0\cup [0,1]\), and let \(\{h_I, I\in A\}\) be the Haar system numbered by the elements of the set \(A\) as follows: \(h_I(t)=|I|^{-1}\) for \(t\in I^+\), \(h_I(t)=-|I|^{-1}\) for \(t\in I^-\) and \(h_I(t)=0\) for \(
openaire   +2 more sources

Int-Haar: Improving Precision of the Haar Interval Wavelet Extension

2013 2nd Workshop-School on Theoretical Computer Science, 2013
This work describes the interval extension of the Haar Wavelet Transform (HWT), implemented with C-XSC, being the first step on the development of the Int-DWTs library, which will provide interval results for several Discrete Wavelet Transforms (DWTs).
Vinicius R. dos Santos, Maurício L. Pilla, Renata Reiser, Alice J. Kozakevicius   +3 more
openaire   +1 more source

Haar Wavelet Splines

Journal of Interdisciplinary Mathematics, 2001
Abstract In this paper is discussed the numerical approximation of differential operators using Haar wavelet bases and their spline-derivatives. It is shown how to smooth the Haar family of wavelets using splines, and to compute the derivatives of the Haar function using the splines.
openaire   +3 more sources

On Perturbations of the Haar System

Mathematical Notes, 2004
This paper discusses the basis properties in \(L_p[0,1]\), \(1 \leq p < \infty\), of sequences of the form \[ \{e,\phi_{k,j};\;k=0, 1\dots,\;j= 0,\dots, 2^k -1\} \tag{1} \] which are close, in a certain sense, to the classical system of Haar functions \[ \{e, \chi_{k,j};\;k=0, 1, \dots,\;j= 0, \dots, 2^k -1\}, \] where \(e = \chi_{[0,1)}\), \(h_{k,j}(t)
openaire   +2 more sources

On the Application of Haar Functions

IEEE Transactions on Communications, 1973
Recent interest in the application of Walsh functions suggests that Haar functions, close relatives of Walsh functions, may also be useful. In this primarily tutorial paper, Haar functions are reviewed briefly and the computational and memory requirements of the Haar transform are analyzed; applications are then discussed. It is concluded that, whereas
openaire   +1 more source

Haar Multiresolution Analysis and Haar Bases on the Ring of Rational Adeles

Journal of Mathematical Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Haar null and Haar meager sets

2023
openaire   +1 more source