Matrices related to some Fock space operators

• Autorzy: Rudol K.
• Języki publikacji: EN

Abstrakty

EN

Matrices of operators with respect to frames are sometimes more natural and easier to compute than the ones related to bases. The present work investigates such operators on the Segal-Bargmann space, known also as the Fock space. We consider in particular some properties of matrices related to Toeplitz and Hankel operators. The underlying frame is provided by normalised reproducing kernel functions at some lattice points.

Słowa kluczowe

EN

frames; operators; Fock space; reproducing kernel

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2011
• Tom: Vol. 31, no. 2
• Strony: 289--296
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Rudol K.

• AGH University of Science and Technology Faculty of Applied Mathematics al. Mickiewicza 30, 30-059 Cracow, Poland,

Bibliografia

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• [6] P.G. Casazza, The art of frame theory, Taiwanese J. Math. 2 (2000) 4, 129–202.
• [7] O. Christensen, An Introduction to Frames and Riesz Bases, Birkhäuser, Boston, Basel, Berlin, 2003.
• [8] J. Janas, K. Rudol, Toeplitz operators in infinitely many variables, [in:] Topics in Operator Theory, Operator Algebras and Applications (Timisoara 1994), 147–160, Bucarest, 1995.
• [9] S. Janson, J. Peetre, R. Rochberg, Hankel forms and the Fock space, Rev. Mat. Iberoamericana 3 (1987), 61–138.
• [10] S. Mallat, A wavelet Tour of Signal Processing, Academic Press, San Diego 1999.
• [11] K. Rudol, Atomic – type decompositions in the Segal-Bargmann space, Proc. Roy. Irish Acad. 88 A (1988), 85–90.