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

• Record Nr.: UNINA9911015869403321
• Autore: Faustino Nelson
• Pubbl/distr/stampa: Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2025
• ISBN: 3-031-86858-7
• Edizione: [1st ed. 2025.]
• Descrizione fisica: 1 online resource (287 pages)
• Collana: Research Perspectives Ghent Analysis and PDE Center, , 2948-1732 ; ; 9
• Altri autori (Persone): FerreiraM; KählerUwe; VieiraNelson
• Disciplina: 515.9
• Soggetti: Functions of complex variables; Harmonic analysis; Differential equations; Functions of a Complex Variable; Several Complex Variables and Analytic Spaces; Abstract Harmonic Analysis; Differential Equations; Funcions de variables complexes; Equacions diferencials; Anàlisi harmònica; Àlgebres de Clifford; Llibres electrònics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: - 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.
• Sommario/riassunto: 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.