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math-ph2013
Toeplitz Quantization without Measure or Inner Product
Stephen Bruce Sontz
This note is a follow-up to a recent paper by the author. Most of that theory is now realized in a new setting where the vector space of symbols is not necessarily an algebra nor i…
math-ph2013
Toeplitz Quantization for Non-commutating Symbol Spaces such as
Stephen Bruce Sontz
Toeplitz quantization is defined in a general setting in which the symbols are the elements of a possibly non-commutative algebra with a conjugation and a possibly degenerate inner…
math-ph2013★ 1 cited
A Reproducing Kernel and Toeplitz Operators in the Quantum Plane
Stephen Bruce Sontz
We define and analyze Toeplitz operators whose symbols are the elements of the complex quantum plane, a non-commutative, infinite dimensional algebra. In particular, the symbols do…