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- Shift_operator abstract "In mathematics, and in particular functional analysis, the shift operator or translation operator is an operator that takes a function f(x)to its translation f(x+a). In time series analysis, the shift operator is called the lag operator.Shift operators are examples of linear operators, important for their simplicity and natural occurrence. The shift operator action on functions of a real variable plays an important role in harmonic analysis, for example, it appears in the definitions of almost periodic functions, positive definite functions, and convolution. Shifts of sequences (functions of an integer variable) appear in diverse areas such as Hardy spaces, the theory of abelian varieties, and the theory of symbolic dynamics, for which the baker's map is an explicit representation.".
- Shift_operator wikiPageID "467384".
- Shift_operator wikiPageRevisionID "577580216".
- Shift_operator hasPhotoCollection Shift_operator.
- Shift_operator subject Category:Isometric_operators.
- Shift_operator subject Category:Unitary_operators.
- Shift_operator type Abstraction100002137.
- Shift_operator type Function113783816.
- Shift_operator type IsometricOperators.
- Shift_operator type MathematicalRelation113783581.
- Shift_operator type Operator113786413.
- Shift_operator type Relation100031921.
- Shift_operator type UnitaryOperators.
- Shift_operator comment "In mathematics, and in particular functional analysis, the shift operator or translation operator is an operator that takes a function f(x)to its translation f(x+a). In time series analysis, the shift operator is called the lag operator.Shift operators are examples of linear operators, important for their simplicity and natural occurrence.".
- Shift_operator label "Operatore di shift".
- Shift_operator label "Shift operator".
- Shift_operator label "Shiftoperator".
- Shift_operator label "シフト作用素".
- Shift_operator sameAs Shiftoperator.
- Shift_operator sameAs Operatore_di_shift.
- Shift_operator sameAs シフト作用素.
- Shift_operator sameAs m.02d06y.
- Shift_operator sameAs Q2278680.
- Shift_operator sameAs Q2278680.
- Shift_operator sameAs Shift_operator.
- Shift_operator wasDerivedFrom Shift_operator?oldid=577580216.
- Shift_operator isPrimaryTopicOf Shift_operator.