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Uncertainty Principles For The ?-fock Space F_?~2

Posted on:2019-12-05Degree:MasterType:Thesis
Country:ChinaCandidate:W Y PanFull Text:PDF
GTID:2370330566468588Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper,we mainly introduce a positive parameterand results about uncer-tainty principle of two self-adjoint operators and linear operators for the Fock space F~2 are generalized to the ?-Fock Space F_?~2 in the complex plane.In particular,we also do a perfect proof for the case of a,b are complex parameters.In the first chapter,we introduce some background information and some defini-tions and properties about holomorphic function spaces on the complex plane.In the second chapter,we mainly study the uncertainty principles of self-adjoint operators for the ?-Fock Space F_?~2 .In the third chapter,we study the uncertainty principles of linear operators for the ?-Fock Space F_?~2 .In the fourth chapter,we study the further discussion on uncertainty principles for the ?-FockSpace F_?~2 on the high dimensional.
Keywords/Search Tags:?-Fock Space, uncertainty principle, Gaussian measures, self-adjoint operators, linear operators
PDF Full Text Request
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