Palle E T Jorgensen and Anna Paolucci 2003 J. Phys. A: Math. Gen. 36 6483 doi:10.1088/0305-4470/36/23/313
Palle E T Jorgensen1 and Anna Paolucci2
Show affiliationsWe construct representations of a q-oscillator algebra by operators on Fock space on positive matrices. They emerge from a multiresolution scaling construction used in wavelet analysis. The representations of the Cuntz algebra arising from this multiresolution analysis are contained as a special case in the Fock space construction.
47L30 Abstract operator algebras on Hilbert spaces
47B37 Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
Issue 23 (13 June 2003)
Received 11 December 2002, in final form 22 April 2003
Published 29 May 2003
Palle E T Jorgensen and Anna Paolucci 2003 J. Phys. A: Math. Gen. 36 6483
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