Results 181 to 190 of about 108,025 (216)

Haar wavelet approach to linear stiff systems

Mathematics and Computers in Simulation, 2004
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Series in the Haar system

Mathematical Notes of the Academy of Sciences of the USSR, 1971
We obtain some results concerning the unconditional convergence of series in the Haar system in the metric of L(0, 1).
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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 \(
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On Uniqueness of Series by Haar System

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2018
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Generalized Haar Systems and Monotone Bases

1997
The purpose of this chapter is to describe monotone bases in r.i. spaces. If any contractive projection P satisfying the condition Pk (0,1) = k (o,1) is a conditional expectation, then such description can be given in terms of generalized Haar systems. We start in section 10.a with the characterization of r.i. spaces with the above mentioned property.
Igor Novikov, Evgenij Semenov
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Generalization of Golubov’s Result for the Haar System

Mathematical Notes, 2020
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Basis Properties of the Haar System

1997
Theorem 3.2 shows that the H.s. forms a basis in L p , 1 ≤ p < ∞. This statement may be generalized.
Igor Novikov, Evgenij Semenov
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The Unconditionality of the Haar system

1997
In order to characterize those r.i.
Igor Novikov, Evgenij Semenov
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Haar system rearrangements in Lorentz spaces

Siberian Mathematical Journal, 1993
Each permutation \(\pi\) of the non-negative integers gives rise to a linear operator defined on Haar polynomials by \(T_ \pi(\sum c_ m\chi_ m)= \sum c_ m\chi_{\pi(m)}\). By Parseval's identity, this operator is an isometry (hence continuous) on \(L^ 2\).
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Jordan test for the Haar-type systems

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
We 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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