Non-wandering Operator in Bargmann Space

Non-wandering Operator in Bargmann Space

In this paper the Bargmann space is denoted by F. This space’s roots can be found in mathematical problem of relativistic physics or in quantum optics. In physics the Bargmann space contains the canonical coherent states, so it is the main tool for studying the bosonic coherent state theory of radiation field and for other application .This paper deals with the unilateral backward shift operato...

Daubechies Localization Operator in Bargmann - Fock Space and Generating Function of Eigenvalues of Localization Operator

We will express Daubechies localization operators in Bargmann Fock space. We will prove that the Hermite functions are eigenfunctions of Daubechies localization operator. By making use of generating function of eigenvalues of Daubechies localization operator, we will show some reconstruction formulas for symbol function of Daubechies localization operator with rotational invariant symbol.

Shape Operator of Slant Submanifolds in Kenmotsu Space Forms

Frames in the Bargmann Space of Entire Functions

We look at the decomposition of arbitrary f in L2(R) in terms of the family of functions cp , , (x ) = w-'/*exp{ iimnab + iman i ( x n b ) 2 } , with a, b > 0. We derive bounds and explicit formulas for the minimal expansion coefficients in the case where ab = 2 w / N , N an integer 2 2 . Transported to the Hilbert space F of entire functions introduced by V. Bargmann, these results are express...

Toeplitz Operators with Bmo Symbols on the Segal-bargmann Space

We show that Zorboska’s criterion for compactness of Toeplitz operators with BMO symbols on the Bergman space of the unit disc holds, by a different proof, for the Segal-Bargmann space of Gaussian square-integrable entire functions on Cn. We establish some basic properties of BMO for p ≥ 1 and complete the characterization of bounded and compact Toeplitz operators with BMO symbols. Via the Barg...