Oka-analyticity of the essential spectrum
On 4-dimensional locally conformally flat almost Kähler manifolds
Using the fundamental notions of the quaternionic analysis we show that there are no 4-dimensional almost Kähler manifolds which are locally conformally flat with a metric of a special form.
On a class of vector-valued analytic functions
On a direct decomposition of the space .
On a generalization of Fueter's theorem.
On a noncommutative algebraic geometry
Several sets of quaternionic functions are described and studied with respect to hyperholomorphy, addition and (non-commutative) multiplication, on open sets of ℍ, then Hamilton 4-manifolds analogous to Riemann surfaces, for ℍ instead of ℂ, are defined, and so begin to describe a class of four-dimensional manifolds.
On a residue of complex functions in the three-dimensional Euclidean complex vector space.
On annihilators of harmonic vector fields
On bang-bang principles in linear-quadratic control problems for generalized analytic functions
On Boolean partial differential equations
On Clifford-type structures [Book]
On convex operator for -analytic functions.
On domains of monogenicity in Clifford analysis
On first order elliptic equations for sections of complex line bundles
On Fueter-Hurwitz regular mappings [Book]
On holomorphic vector bundles on Hopf manifolds with trivial pullback on the universal covering.
On hyper f-structures.
On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical
We consider a certain analog of Cauchy type integral taking values in a three-dimensional harmonic algebra with two-dimensional radical. We establish sufficient conditions for an existence of limiting values of this integral on the curve of integration.
On operators and elementary functions in Clifford analysis.
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.