Oka-analyticity of the essential spectrum
On a class of vector-valued analytic functions
On a residue of complex functions in the three-dimensional Euclidean complex vector space.
On products of some Toeplitz operators on polyanalytic Fock spaces
The purpose of this paper is to study the Sarason’s problem on Fock spaces of polyanalytic functions. Namely, given two polyanalytic symbols and , we establish a necessary and sufficient condition for the boundedness of some Toeplitz products subjected to certain restriction on and . We also characterize this property in terms of the Berezin transform.
On super (or pseudo) differential forms as superfunctions
On superposition of quasianalytic functions
On the Analogue of Koebe's Theorem for Functions with Values in a Clifford Algebra.
On the growth of the resolvent operators for power bounded operators
Outline. In this paper I discuss some quantitative aspects related to power bounded operators T and to the decay of . For background I refer to two recent surveys J. Zemánek [1994], C. J. K. Batty [1994]. Here I try to complement these two surveys in two different directions. First, if the decay of is as fast as O(1/n) then quite strong conclusions can be made. The situation can be thought of as a discrete version of analytic semigroups; I try to motivate this in Section 1 by demonstrating the...
On the Multiplicity of an Analytic Operator-Valued Function.
On the possibility of extending a function from a part of a domain to a generalized analytic function on this domain.
On vector-valued analytic functions with constant norm