On the Hilbert formulas on the unit circle for α-hyperholomorphic function theory

Author:

Bory Reyes J.1,Abreu Blaya R.2,Pérez-de la Rosa M. A.3,Schneider B.4

Affiliation:

1. ESIME-Zacatenco, Instituto Politécnico Nacional, Ciudad de México , Mexico.

2. Facultad de Informática y Matemática, Universidad de Holguín , Holguín, Cuba.

3. Department of Mathematics, Center for Research and Development in Mathematics and Applications, University of Aveiro , Aveiro, Portugal.

4. Faculty of Sciences and Literature, Department of Mathematics, Izmir University of Economics , Izmir, Turkey.

Funder

Instituto Politécnico Nacional in the framework of SIP programs

CONACYT

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Reference11 articles.

1. King FW . Hilbert transforms. Vol. I. Cambridge: Cambridge University Press; 2009. p. 1–858.

2. Luna-Elizarrarás ME , Pérez-de la Rosa MA , Shapiro M . On some analogues of the Hilbert formulas on the unit sphere for solenoidal and irrotational vector fields. Trans Inst Math Nat Acad Sci Ukr. 2013;10(4-5):246–266.

3. On the Hilbert operator and the Hilbert formulas on the unit sphere for the time-harmonic Maxwell equations

4. On the Hilbert formulas on the unit sphere for the time-harmonic relativistic Dirac bispinors theory

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