A real inversion formula for the Laplace transform in a Sobolev space.
A Reproducing Kernel and Toeplitz Operators in the Quantum Plane
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 not come from an algebra of functions. The process of forming operators from non-commuting symbols can be considered as a second quantization. To do this we construct a reproducing kernel associated with the quantum plane. We also discuss the commutation relations of creation and annihilation operators which are defined...
An elementary construction on nonlinear coherent states associated to generalized Bargmann spaces.
An invariant subspace of the Bergman space having the codimension two property.
Analytical approximation to solutions of singularly perturbed boundary value problems.