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math-ph2012
Paragrassmann Algebras as Quantum Spaces, Part I: Reproducing Kernels
Stephen Bruce Sontz
Paragrassmann algebras are given a sesquilinear form for which one subalgebra becomes a Hilbert space known as the Segal-Bargmann space. This Hilbert space as well as the ambient s…
math-ph2012★ 9 cited
Paragrassmann Algebras as Quantum Spaces, Part II: Toeplitz Operators
Stephen Bruce Sontz
This paper continues the study of paragrassmann algebras begun in Part I with the definition and analysis of Toeplitz operators in the associated holomorphic Segal-Bargmann space.…