Results 181 to 190 of about 22,937,031 (254)

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).
L. A. Balashov
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On series by Haar system

Journal of Contemporary Mathematical Analysis, 2007
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Navasardyan, K. A., Stepanyan, A. A.
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Rearrangements of the Haar System that Preserve BMO

Proceedings of the London Mathematical Society, 1997
The author identifies geometric conditions on a rearrangement \(\tau\) (related to the Carleson packing condition) which guarantee that the rearrangement map \(T\) of the Haar system induced by \(\tau\), i.e., induced by \(Th_I=h_{\tau(I)}\), is an isomorphism, or a bounded operator, on the space of functions BMO of dyadic bounded mean oscillation ...
Pfx Müller
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Rearranged series by Haar system

Journal of Contemporary Mathematical Analysis, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grigoryan, M. G., Gogyan, S. L.
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Closed‐Loop Haar Wavelet Power Splitting Method for Vehicle‐Mounted Hybrid Energy Storage System

IEEJ TRANSACTIONS ON ELECTRICAL AND ELECTRONIC ENGINEERING, 2022
Hybrid energy storage systems are widely used in electric vehicles and other fields. Focused on the problem of lithium‐ion battery life attenuation caused by high‐frequency components in load power requirements, a closed‐loop Haar wavelet power splitting
Yongpeng Shen, Songnan Sun, Yuanfeng Li, Weihua Liang, Xizheng Zhang, Xiaofang Yuan   +5 more
semanticscholar   +1 more source

Uniqueness Theorems for Generalized Haar Systems

Mathematical Notes, 2018
Let \(\{p_k\}\) be a sequence of integers \(\geq2\) and set \(m_k=p_1\cdots p_k\). The direct sum of the cyclic groups of order \(p_k\) may be realised as functions on \([0,1]\) in a way similar to the Walsh functions (corresponding to the case \(p_k=2\)).
Gevorkyan, G. G., Navasardyan, K. A.
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Haar systems for compact geometries

Acta Mathematica Hungarica, 1993
A general procedure for constructing Haar systems \(\mathcal H\) on any compact metrizable measurable space \((\Delta,\mu)\), hence on any compact region of the Euclidean space, is given. It is shown that a system \(\mathcal H\) has the desired properties, in particular, \(\mathcal H\) is complete and orthonormal in \(L^ 2_ \mu(\Delta)\), if the ...
Albert, G. E., Wade, W. R.
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Haar System Rearrangements

1997
Let n ≥ 0 and πn be a rearrangement of {0,1} if n = 0 and {1, 2, ..., 2 n } if n ≥ 1.
Igor Novikov, Evgenij Semenov
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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)
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Reproducibility of the Haar system

1997
Let {xn} 1 ∞ be a normalized basis of a Banach space X,x n tends weakly to 0, and X is isomorphic to a subspace of some space Y, with a basis {yk} 1 ∞ . It is known (see Theorem 1.b.3) that there exists a subsequence {xnj} j=1 ∞ of {xn} 1 ∞ which is equivalent to a block basis of {yk} 1 ∞ .
Igor Novikov, Evgenij Semenov
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