An extension of monogenic functions and spatial potentials
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Publication:2357043
DOI10.1134/S1995080217020160zbMath1379.46035MaRDI QIDQ2357043
Publication date: 16 June 2017
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Laplace equationtopological vector spacemonogenic functionharmonic algebraCauchy-Riemann conditionsdifferentiable in the sense of Gâteaux functionsspatial potentials
Spaces of vector- and operator-valued functions (46E40) Derivatives of functions in infinite-dimensional spaces (46G05) Other generalizations of analytic functions (including abstract-valued functions) (30G30)
Related Items (max. 100)
Monogenic functions and harmonic vectors ⋮ Monogenic functions in commutative algebras associated with classical equations of mathematical physics
Cites Work
- The representation of harmonic mappings by monogenic functions
- Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. I
- Commutative Algebras Associated with Classic Equations of Mathematical Physics
- Cauchy theorem for a surface integral in commutative algebras
- Potential fields with axial symmetry and algebras of monogenic functions of vector variables. III
- Algebras of Functionally Invariant Solutions of the Three-Dimensional Laplace Equation
- Application of an Algebraic Technique to the Solution of Laplace’s Equation in Three Dimensions
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