E-Book, Englisch, 550 Seiten, eBook
Reihe: Frontiers in Mathematics
Plaksa / Shpakivskyi Monogenic Functions in Spaces with Commutative Multiplication and Applications
1. Auflage 2023
ISBN: 978-3-031-32254-9
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 550 Seiten, eBook
Reihe: Frontiers in Mathematics
ISBN: 978-3-031-32254-9
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
- 1. Introduction. - Part I Differentiable Mapping in Vector Spaces. - 2. Differentiation in Vector Spaces. - 3. Monogenic Functions in Vector Spaces with Commutative Multiplication. - Part II Monogenic Functions in a Three-Dimensional Commutative Algebra with Two-Dimensional Radical . - 4. Three-Dimensional Harmonic Algebra with Two-Dimensional Radical. - 5. Algebraic-Analytic Properties of Monogenic Functions in the Three-Dimensional Harmonic Algebra with Two-Dimensional Radical. - 6. Integral Theorems and Series in the Three-Dimensional Harmonic Algebra with Two-Dimensional Radical. - 7. Hypercomplex Cauchy-Type Integral. - Part III Monogenic Functions in a Finite-Dimensional Commutative Associative Algebra . - 8. Constructive Description of Monogenic Functions in a Finite-Dimensional Commutative Algebra. - 9. Contour Integral Theorems for Monogenic Functions in a Finite-Dimensional Commutative Algebra. - 10. Cauchy Theorem for a Surface Integral in a Finite-Dimensional Commutative Algebra. - 11. On Monogenic Functions Given in Various Commutative Algebras. - 12. Monogenic Functions on Extensions of a Commutative Algebra. - 13. Hypercomplex Method for Solving Linear Partial Differential Equations with Constant Coefficients. - Part IV Monogenic Functions in Infinite-Dimensional Vector Spaces Associated with the Three-Dimensional Laplace Equation . - 14. Description of Spatial Potential Fields by Means of Monogenic Functions in Infinite-Dimensional Spaces with Commutative Multiplication. - 15. Monogenic Functions in Complexified Infinite-Dimensional Spaces with Commutative Multiplication. - Part V Monogenic Functions in an Infinite-Dimensional Vector Space Associated with Axial-Symmetric Potential Fields . - 16. Monogenic Functions in an Infinite-Dimensional Commutative Banach Algebra Associated with Axial-Symmetric Potential Fields. - 17. Monogenic Functions in a Topological Vector Space Associated with Axial-Symmetric Potential Fields. - Part VI Boundary Value Problems for Axial-Symmetric Potential Fields. - 18. Integral Representations for the Axial-Symmetric Potential and Stokes’ Flow Function in an Arbitrary Simply-Connected Domain. - 19. Boundary Properties of the Axial-Symmetric Potential and Stokes’ Flow Function in Domains with Bounded Boundary. - 20. Inner Dirichlet Problem for the Axial-symmetric Potential. - 21. Outer Dirichlet Problem for the Axial-symmetric Potential. - 22. Dirichlet Problem for Stokes’ Flow Function. - 23. Functionally Analytic Method for Modelling Axial-Symmetric Flows of Ideal Fluid.