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On rearrangements of the double Haar system
Mathematical Notes, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Jordan test for the Haar-type systems
Izvestiya Vysshikh Uchebnykh Zavedenii. MatematikaWe consider Haar-type systems, which are generated by a (generally speaking, unbounded) sequence $ \{ p_n \}_{n=1}^\infty $, and which are defined on the modified segment $ [0, 1]^* $, i.\,e., on the segment [0, 1] whose $ \{ p_n \}$-rational points are calculated two times.
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1998
The Haar basis is known since 1910. Here we consider the Haar basis on the real line IR and describe some of its properties which are useful for the construction of general wavelet systems. Let L2 (IR) be the space of all complex valued functions f on IR such that their L2-norm is finite: $$ \left\| {f\left\| {2 = \left( {\int_{ - \infty }^\infty {\
Wolfgang Härdle +3 more
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The Haar basis is known since 1910. Here we consider the Haar basis on the real line IR and describe some of its properties which are useful for the construction of general wavelet systems. Let L2 (IR) be the space of all complex valued functions f on IR such that their L2-norm is finite: $$ \left\| {f\left\| {2 = \left( {\int_{ - \infty }^\infty {\
Wolfgang Härdle +3 more
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Haar wavelet approach to linear stiff systems
Mathematics and Computers in Simulation, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON THE COEFFICIENTS OF FOURIER SERIES WITH RESPECT TO THE HAAR SYSTEM
Mathematics of the USSR-Sbornik, 1969If a continuous function is expanded according to a complete orthonormal system of discontinuous functions (such as the Walsh and Haar systems), the expansion coefficients are subject not only to upper bounds but to lower bounds as well. In this paper lower bounds are derived for the Haar-Fourier coefficients, valid for different classes of continuous ...
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On a generalization of the Haar system
Acta Mathematica Academiae Scientiarum Hungaricae, 1979openaire +2 more sources
Solving linear integro-differential equations system by using rationalized Haar functions method
Applied Mathematics and Computation, 2004K Maleknejad +2 more
exaly
Equivalence of rearrangements of the Haar system in L1
Mathematical Notes of the Academy of Sciences of the USSR, 1981Kislovskaya, N. M., Osipov, V. B.
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