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Monogenic functions with values in algebras of the second rank over the complex field and a generalized biharmonic equation with a triple characteristic
The statement that any two-dimensional algebra 𝔹 * of the second rank with unity over the field of complex numbers contains such a basis { e 1 ; e 2 }...
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Monogenic Functions in Commutative Algebras Associated with Classical Equations of Mathematical Physics
The methods involving the functions analytic in a complex plane for plane potential fields inspire the search for the analogous efficient methods for...
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Biharmonic Problem for an Angle and Monogenic Functions
We consider a piecewise continuous biharmonic problem in an angle and the corresponding Schwartz-type boundary-value problem for monogenic functions...
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Hölder norm estimate for the fractal Hilbert transform in Douglis analysis
The main goal of this paper is to estimate the Hölder norm of a fractal version of the Hilbert transform in the Douglis analysis context acting from...
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Commutative Complex Algebras of the Second Rank with Unity and Some Cases of Plane Orthotropy. I
Among all two-dimensional algebras of the second rank with unity e over the field of complex numbers ℂ, we find a semisimple algebra 𝔹 0 : ={ c 1 e + c 2 ω :...
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Hörmander Classes of Pseudo-Differential Operators over the Compact Group of p-Adic Integers
The purpose of this paper is to introduce new definitions of Hörmander classes for pseudo-differential operators over the compact group of p -adic...
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Some properties of a Cauchy type integral in a three-dimensional commutative algebra with one-dimensional radical
In the paper we consider a certain analog of the Cauchy type integral taking values in a three-dimensional commutative algebra over the field of...
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Discrete Pseudo-differential Operators and Applications to Numerical Schemes
We consider a class of discrete operators introduced by O. Chodosh, acting on infinite sequences and mimicking standard properties of...
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Biharmonic Monogenic Functions and Biharmonic Boundary Value Problems
We consider a commutative algebra B over the field of complex numbers with a basis {e 1, e 2} satisfying the conditions...
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Holomorphic Fourier Multipliers on Infinite Lipschitz Surfaces
It is well-known that there exists a one-one correspondence between the classical convolution singular integral operators and the Fourier multiplier...
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Schwartz-Type Boundary Value Problems for Monogenic Functions in a Biharmonic Algebra
We consider Schwartz-type boundary value problems for monogenic functions in a commutative algebra...
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Distinguished Coefficient Tensors
One of the main goals in the current volume is to employ boundary layer potential operators associated with a given second-order weakly elliptic...
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A Schwartz-type boundary value problem in a biharmonic plane
A commutative algebra B over the field of complex numbers with the bases { e 1 , e 2 } satisfying the conditions ( e 1 2 + e ...
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The Riemann–Hilbert Boundary Value Problem for the Moisil–Theodoresco System
We consider the Riemann–Hilbert boundary value problem for the Moisil–Theodoresco system in a multiply connected domain bounded by a smooth surface...
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Boundary Value Problems for Elliptic Wedge Operators: The First-Order Case
This chapter is a description of some of the results obtained by the authors in connection with the problem in the title. These, discussed following...
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Modeling the Adaptation of Compression Algorithms by Means of Constructive-Synthesizing Structures
The methodology of mathematical-algorithmic constructivism is presented. Relations between constructive-synthesizing structures modeling interrelated...
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Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
We construct the space of infinitesimal variations for the Strominger system and an obstruction space to integrability, using elliptic operator...