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.
On representations of real analytic functions by monogenic functions
Using the method of normalized systems of functions, we study one representation of real analytic functions by monogenic functions (i.e., solutions of Dirac equations), which is an Almansi’s formula of infinite order. As applications of the representation, we construct solutions of the inhomogeneous Dirac and poly-Dirac equations in Clifford analysis.
On some boundary-value problems for functions with values in Clifford algebra
On super (or pseudo) differential forms as superfunctions
On superposition of quasianalytic functions
On Teichmüller modular forms.
On the Analogue of Koebe's Theorem for Functions with Values in a Clifford Algebra.
On the approximation of continuous functions by solutions to partial complex differential equations