Results 211 to 220 of about 3,753,549 (263)
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ON A FAMILY OF GENERALIZED SHIFT OPERATORS
Mathematics of the USSR-Izvestiya, 1977In this paper a special representation of the algebra of differential operators is constructed. Using this representation a family of generalized shift operators is studied for which the th order infinitesimal operators form an arbitrary Lie algebra.
V B Osipov +2 more
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Russian Mathematical Surveys, 1984
The author proves two theorems on shift-invariant and disjointly bounded operators in symmetric spaces. As a consequence, he is able to show that any shift-invariant continuous sublinear operator from \(L^{p,\infty}(G)\) into \(L^ 0(G ...
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The author proves two theorems on shift-invariant and disjointly bounded operators in symmetric spaces. As a consequence, he is able to show that any shift-invariant continuous sublinear operator from \(L^{p,\infty}(G)\) into \(L^ 0(G ...
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ON SPECTRAL PROPERTIES OF OPERATORS WITH A SHIFT
Mathematics of the USSR-Izvestiya, 1984The article deals with the so-called operators of weighted shift (translation) type, having the form aT, \(a\in A\), where A is a subalgebra (commutative in the article) of the algebra of the linear bounded operators in a Banach space; T is an invertible isometry and \(TAT^{- 1}=A.\) The main example of such an operator is an operator acting in some ...
A. V. Lebedev, A. B. Antonevich
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1996
We now turn our attention to the study of a special class of transformations, namely shift operators. These will turn out later to serve as models for all linear transformations, in the sense that every linear transformation is similar to a shift operator.
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We now turn our attention to the study of a special class of transformations, namely shift operators. These will turn out later to serve as models for all linear transformations, in the sense that every linear transformation is similar to a shift operator.
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Sharp A2 inequality for Haar shift operators
, 2009As a Corollary to the main result of the paper, we give a new proof of the inequality $$||{\rm T} f||_{L ^{2} (w)} \lesssim ||w{||_ {A_2}}||f{||_{{L ^2}(w)}}\,,$$where T is either the Hilbert transform (Amer J Math 129(5):1355–1375, 2007), a Riesz ...
M. Lacey, S. Petermichl, M. Reguera
semanticscholar +1 more source
1986
The interactions we deal with in physics involve one or two particles and therefore are represented by one and two—particle operators. Some formalisms introduce more than two—particle operators. In general calculating matrix elements we would like to separate the physical information, the part that depends on the p-particle operator  and thus is ...
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The interactions we deal with in physics involve one or two particles and therefore are represented by one and two—particle operators. Some formalisms introduce more than two—particle operators. In general calculating matrix elements we would like to separate the physical information, the part that depends on the p-particle operator  and thus is ...
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1993
VHDL’87 did not define any shift or rotate operators. The main problem here was reaching a consensus on a minimum set of operators. This has now been done, and VHDL’92 predefines four shift and two rotate operators.
Serge Maginot +3 more
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VHDL’87 did not define any shift or rotate operators. The main problem here was reaching a consensus on a minimum set of operators. This has now been done, and VHDL’92 predefines four shift and two rotate operators.
Serge Maginot +3 more
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The Commutant of Some Shift Operators
Complex Analysis and Operator Theory, 2020A. Abkar, G. Cao, Kehe Zhu
semanticscholar +1 more source
1993
This chapter, which has an introductory character, contains the main elements of the theory of block shift operators. These operators are among the simplest infinite dimensional operators, and they may serve as building blocks for more complicated operators. In the first section block forward shifts are identified as pure isometries.
Marinus A. Kaashoek +2 more
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This chapter, which has an introductory character, contains the main elements of the theory of block shift operators. These operators are among the simplest infinite dimensional operators, and they may serve as building blocks for more complicated operators. In the first section block forward shifts are identified as pure isometries.
Marinus A. Kaashoek +2 more
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Shift operators for a Dirac oscillator
Journal of Mathematical Physics, 1991Shift operators are obtained for a Dirac oscillator. These operators and other algebraic methods are used to determine energy eigenvalues and eigenkets, expectation values, matrix elements, and coordinate-space wave functions.
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