Toeplitz Operators and Deformation-Algebras

This work provides a comprehensive treatment of Toeplitz operators and
closely related mathematical theories, in particular, star-products or
deformation algebras. Toeplitz operators are closely related to
pseudodifferential operators. They give rise to an essentially
isomorphic symbolic calculus and to much of pseudodifferential
analysis, as applied to results on propagation of singularities.
Of significance is the fact that Toeplitz operators are useful for
problems in deformation quantization. The symbolic calculus of
pseudodifferential and Toeplitz operators is also a special case of
star-product.
The book will be suitable for graduate students and mathematicians in
the areas of differential geometry and operator theory.