zbMath0872.35001MaRDI QIDQ4897348
Vladislav V. Kravchenko, Michael V. Shapiro
Publication date: 28 October 1996
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Towards a physics on fractals: differential vector calculus in three-dimensional continuum with fractal metric ⋮
Boundary value problems for modified Helmholtz equations and applications ⋮
Ulam-Hyers stability for fractional differential equations in quaternionic analysis ⋮
Electromagnetic Riemann-Hilbert boundary value problem in fractal domains of \(\mathbb{R}^2\) ⋮
An algebraic method for solving the multiwave Helmholtz equation ⋮
On the Hilbert operator and the Hilbert formulas on the unit sphere for the time-harmonic Maxwell equations ⋮
On the Hyperderivatives of Dirac-hyperholomorphic Functions of Clifford Analysis ⋮
A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\) ⋮
Singularities of slice regular functions ⋮
On homogeneous polynomial solutions of the Moisil-Théodoresco system in \(\mathbb R^{3}\) ⋮
Generalised Maxwell equations in higher dimensions ⋮
Boundary value problems for hyperholomorphic solutions of two dimensional Helmholtz equation in a fractal domain ⋮
Comparison of volumes of convex bodies in real, complex, and quaternionic spaces ⋮
Geometric BVPs, Hardy spaces, and the Cauchy integral and transform on regions with corners ⋮
Reproducing kernel functions of solutions to polynomial Dirac equations in the annulus of the unit ball in \(\mathbb R^n\) and applications to boundary value problems ⋮
On some structural sets and a quaternionic (φ,ψ)-hyperholomorphic function theory ⋮
Dirichlet-type problems for the two-dimensional Helmholtz operator in complex quaternionic analysis ⋮
Shifted Appell sequences in Clifford analysis ⋮
A quaternionic treatment of inhomogeneous Cauchy-Riemann type systems in some traditional theories ⋮
Generalized Laplacian decomposition of vector fields on fractal surfaces ⋮
Generalized integral theorems for quaternionic \(G\)-monogenic mappings ⋮
On Dirichlet type problems of polynomial Dirac equations with boundary conditions ⋮
Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients ⋮
Biquaternionic reformulation of a fractional monochromatic Maxwell system ⋮
On the 2D quaternionic metaharmonic layer potentials ⋮
Hölder norm estimate for a Hilbert transform in Hermitean Clifford analysis ⋮
Complete families of solutions for the Dirac equation using bicomplex function theory and transmutations ⋮
Jump conditions for a metaharmonic double layer potential on rectifiable closed Jordan curves in R2 ⋮
Bloch's theorem in the context of quaternion analysis ⋮
On the kernel of the Klein-Gordon operator ⋮
Poincaré-Bertrand and Hilbert formulas for the Cauchy-Cimmino singular integrals ⋮
General solution of the inhomogeneous div-curl system and consequences ⋮
The Cauchy problem for quaternion fuzzy fractional differential equations ⋮
Computational geometric and boundary value properties of oblate spheroidal quaternionic wave functions ⋮
Generalized Clifford algebras associated to certain partial differential equations ⋮
A right inverse operator for \(\operatorname{curl}+\lambda \) and applications ⋮
Envelope detection using generalized analytic signal in 2D QLCT domains ⋮
Integral formulas of the Hilbert, Poincaré-Bertrand, Schwarz and Poisson type for the \(\beta\)-analytic function theory ⋮
Some properties of the Clifford Cauchy type integrals associated to Helmholtz equation on a piecewise Lyapunov surfaces in \(\mathbb R^m\) ⋮
Cauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries ⋮
Leveraging prior known vector Green functions in solving perturbed Dirac equation in Clifford algebra ⋮
On generalized Vekua type problems ⋮
On the quaternionic Weyl algebra ⋮
On finite difference Dirac operators and their fundamental solutions ⋮
On the Cauchy theorem for hyperholomorphic functions of spatial variable ⋮
A note on the Bochner-Martinelli integral ⋮
On Bers generating functions for first order systems of mathematical physics ⋮
On the Riemann Hilbert type problems in Clifford analysis ⋮
A family of fundamental solutions of elliptic partial differential operators with real constant coefficients ⋮
Higher order Dirichlet-type problems in 2D complex quaternionic analysis ⋮
Complete orthonormal sets of polynomial solutions of the Riesz and Moisil-Teodorescu systems in \(\mathbb R^{3}\) ⋮
A new series expansion for slice regular functions ⋮
The Weierstrass factorization theorem for slice regular functions over the quaternions ⋮
A survey on the (hyper-) derivatives in complex, quaternionic and Clifford analysis ⋮
On a quaternionic reformulation of Maxwell's equations for chiral media and its applications ⋮
Riemann boundary value problem for H-2-monogenic function in Hermitian Clifford analysis ⋮
On a direct decomposition of the space \({\mathcal L}_p(\Omega)\) ⋮
On the conformal mappings and the global operator \(G\) ⋮
A new theory of regular functions of a quaternionic variable ⋮
On the \(\Pi\)-operator in hyperholomorphic function theory ⋮
On the Hilbert formulas on the unit sphere for the time-harmonic relativistic Dirac bispinors theory ⋮
Poincaré-Bertrand formula on a piecewise Liapunov curve in two-dimensional ⋮
On Bergman spaces induced by a \(\mathbf{v}\)-Laplacian vector fields theory ⋮
On new existence results for fractional differential equations in quaternionic analysis ⋮
On strict inclusions of weighted dirichlet spaces of monogenic functions ⋮
On some new properties of quaternion functions ⋮
On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation ⋮
The Pompeiu formula for slice hyperholomorphic functions ⋮
On Cauchy integral theorem for quaternionic slice regular functions ⋮
Monogenic functions in commutative algebras associated with classical equations of mathematical physics ⋮
Hilbert spaces of solutions to polynomial Dirac equations, Fourier transforms and reproducing kernel functions for cylindrical domains ⋮
Conjugate harmonic functions in Euclidean space: a spherical approach ⋮
On the Moisil-Theodoresco operator in orthogonal curvilinear coordinates ⋮
On one class of quaternionic mappings ⋮
On a version of quaternionic function theory related to Chebyshev polynomials and modified Sturm-Liouville operators ⋮
Applications of the quaternionic calculus to the convective stationary MHD equations in \({\mathbb{R}^3}\) ⋮
Zeros of regular functions and polynomials of a quaternionic variable ⋮
Hilbert and Poincaré-Bertrand formulas in polyanalytic function theory involving higher order Lipschitz classes ⋮
Schwarz-type lemmas associated to a Helmholtz equation ⋮
Reconstruction of solutions to a generalized Moisil-Teodorescu system in Jordan domains with rectifiable boundary ⋮
Orthogonal Appell systems of monogenic functions in the cylinder ⋮
On the Dirac operator with an electromagnetic potential ⋮
Dirichlet type problem for 2D quaternionic time-harmonic Maxwell system in fractal domains ⋮
Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators ⋮
A Paley-Wiener theorem and Wiener-Hopf-type integral equations in Clifford analysis ⋮
Gleason's problem and interpolation for hyperholomorphic functions). ⋮
Boundary value problems associated to a Hermitian Helmholtz equation ⋮
On hyperholomorphic functions of the space variable ⋮
The Riemann boundary value problem related to the time-harmonic Maxwell equations ⋮
Commutative Algebras Associated with Classic Equations of Mathematical Physics ⋮
Far-field patterns of solutions of the perturbed Dirac equation ⋮
Nonlinear singular integral equations involving the Hilbert transform in Clifford analysis ⋮
On Riesz systems of harmonic conjugates in R3 ⋮
Reduced-quaternionic Mathieu functions, time-dependent Moisil-Teodorescu operators, and the imaginary-time wave equation ⋮
Holomorphic functions in generalized Cayley-Dickson algebras ⋮
Boundary value problems for the Cimmino system via quaternionic analysis ⋮
A Dirichlet problem for the first order inhomogeneous meta-monogenic equation in parameter depending Clifford algebras ⋮
Some properties of the Cauchy-type integral for the time harmonic Maxwell equations ⋮
Quaternionic reformulation of Maxwell equations for inhomogeneous media and new solutions ⋮
2D quaternionic time-harmonic Maxwell system in elliptic coordinates
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