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Hypercomplex Analysis and Its Applications : Extended Abstracts of the International Conference Celebrating Paula Cerejeiras’ 60th Birthday / edited by Nelson Faustino, Milton Ferreira, Uwe Kähler, Nelson Vieira.

Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2025 English International Available online

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Format:
Book
Author/Creator:
Faustino, Nelson.
Contributor:
Ferreira, M.
Kähler, Uwe.
Vieira, Nelson.
Series:
Research Perspectives Ghent Analysis and PDE Center, 2948-1732 ; 9
Language:
English
Subjects (All):
Functions of complex variables.
Harmonic analysis.
Differential equations.
Functions of a Complex Variable.
Several Complex Variables and Analytic Spaces.
Abstract Harmonic Analysis.
Differential Equations.
Local Subjects:
Functions of a Complex Variable.
Several Complex Variables and Analytic Spaces.
Abstract Harmonic Analysis.
Differential Equations.
Physical Description:
1 online resource (287 pages)
Edition:
1st ed. 2025.
Place of Publication:
Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2025.
Summary:
This book contains a collection of short papers based on the presentations given at the international conference on Hypercomplex Analysis and its Applications celebrating Paula Cerejeiras’ 60th birthday. These papers present the latest results as well as overviews on specific topics in the areas of hypercomplex and harmonic analysis as well as their connections with partial differential equations and spectral theory.
Contents:
- 1. Peculiar Behaviors of Functions in q-Calculus
2. An introduction to the fine structures on the S-spectrum
3. Recovering Composition Algebras from 3D Geometric Algebras
4. Characteristics of α-Hypermonogenic Functions
5. Quaternion Hyperbolic Transforms of the Fourier type - An Overview
6. Examples for Rebricking
7. Discrete Borel-Pompeiu and Cauchy formulae on a rectangular lattice for bounded domains in R2
8. Clifford-Valued B-Splines
9. On Clifford Geometric Space-Time Algebras and Symmetries
10. Octonionic Hilbert spaces and para-linear operators
11. The discrete octonionic Stokes’ formula revisited
12. An estimate for the dimension of the Kernel of a Singular Integral Operator with two Shifts and Conjugation
13. A Bernstein-type inequality for the generalized Dunkl translation
14. A zeta function for the bicomplex algebra
15. On Grade Automorphism in Ternary Clifford Algebras
16. Fractional Polyanalyticity.
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
3-031-86858-7
OCLC:
1528358647

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