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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.
Grabovskaja, R. Ja. +2 more
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The Spectral Shift Operator [PDF]
LaTeX, 28 ...
Sergei N. Naboko, Konstantin Makarov
exaly +3 more sources
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 ...
openaire +1 more source
Constructions with the Shift Operator
2023AbstractThis chapter explores three operators created from the unilateral shift S and its adjoint S*: the sum S + S*, the direct sum S ⊕ S*, and the tensor product S ⊗ S*. We give Hilbert’s spectral representation of the selfadjoint operator S + S*. The operator S ⊕ S* on H2 ⊕ H2 is complex symmetric.
Stephan Ramon Garcia +2 more
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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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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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2002
Verilog-1995 provides two simple shift operators: The >> token represents a bitwise shift-right operation. The
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Verilog-1995 provides two simple shift operators: The >> token represents a bitwise shift-right operation. The
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Graph Signal Processing Over a Probability Space of Shift Operators
IEEE Transactions on Signal Processing, 2023Antonio Ortega, Wee Peng Tay, Feng Ji
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