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Papers by sameer chavan

Glasgow Mathematical Journal, 2008

We combine the theory of sectorial sesquilinear forms with the theory of unbounded subnormal oper... more We combine the theory of sectorial sesquilinear forms with the theory of unbounded subnormal operators in Hilbert spaces to characterize the Friedrichs extensions of multiplication operators (with analytic symbols) in certain functional Hilbert spaces. Such characterizations lead to abstract Galerkin approximations and generalized wave equations.

Glasgow Mathematical Journal, 2006

We combine the theory of sectorial sesquilinear forms with the theory of unbounded subnormal oper... more We combine the theory of sectorial sesquilinear forms with the theory of unbounded subnormal operators in Hilbert spaces to characterize the Friedrichs extensions of multiplication operators (with analytic symbols) in certain functional Hilbert spaces. Such characterizations lead to abstract Galerkin approximations and generalized wave equations.

Proceedings of The American Mathematical Society, 2008

We establish a Spectral Exclusion Principle for unbounded subnormals. As an application, we obtai... more We establish a Spectral Exclusion Principle for unbounded subnormals. As an application, we obtain some polynomial approximation results in the functional model spaces.

Mathematical Proceedings of The Cambridge Philosophical Society, 2007

We use the theory of sectorial sesquilinear forms to characterize the closure of the Creation Ope... more We use the theory of sectorial sesquilinear forms to characterize the closure of the Creation Operator of Quantum Mechanics in the classical set-up. Further, we bring that theory to bear upon the class of unbounded cyclic subnormal operators that admit analytic models; in particular, we provide a sufficient condition for the existence of complete sets of eigenvectors for certain sectorial operators related to unbounded subnormals. The relevant theory is illustrated in the context of a class of analytic models of which the classical Segal-Bargmann space is a prototype. The framework of sectorial sesquilinear forms is also shown to be specially useful for treating questions related to the existence, uniqueness and stability of certain parabolic evolution equations naturally associated with such analytic models. z ) * .

Glasgow Mathematical Journal, 2008

We combine the theory of sectorial sesquilinear forms with the theory of unbounded subnormal oper... more We combine the theory of sectorial sesquilinear forms with the theory of unbounded subnormal operators in Hilbert spaces to characterize the Friedrichs extensions of multiplication operators (with analytic symbols) in certain functional Hilbert spaces. Such characterizations lead to abstract Galerkin approximations and generalized wave equations.

Glasgow Mathematical Journal, 2006

We combine the theory of sectorial sesquilinear forms with the theory of unbounded subnormal oper... more We combine the theory of sectorial sesquilinear forms with the theory of unbounded subnormal operators in Hilbert spaces to characterize the Friedrichs extensions of multiplication operators (with analytic symbols) in certain functional Hilbert spaces. Such characterizations lead to abstract Galerkin approximations and generalized wave equations.

Proceedings of The American Mathematical Society, 2008

We establish a Spectral Exclusion Principle for unbounded subnormals. As an application, we obtai... more We establish a Spectral Exclusion Principle for unbounded subnormals. As an application, we obtain some polynomial approximation results in the functional model spaces.

Mathematical Proceedings of The Cambridge Philosophical Society, 2007

We use the theory of sectorial sesquilinear forms to characterize the closure of the Creation Ope... more We use the theory of sectorial sesquilinear forms to characterize the closure of the Creation Operator of Quantum Mechanics in the classical set-up. Further, we bring that theory to bear upon the class of unbounded cyclic subnormal operators that admit analytic models; in particular, we provide a sufficient condition for the existence of complete sets of eigenvectors for certain sectorial operators related to unbounded subnormals. The relevant theory is illustrated in the context of a class of analytic models of which the classical Segal-Bargmann space is a prototype. The framework of sectorial sesquilinear forms is also shown to be specially useful for treating questions related to the existence, uniqueness and stability of certain parabolic evolution equations naturally associated with such analytic models. z ) * .

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