Hilbert and Poincaré-Bertrand Formulas in Polyanalytic Function Theory Involving Higher Order Lipschitz Classes

Author:

Bory-Reyes Juan,Abreu-Blaya Ricardo,Pérez-de la Rosa Marco AntonioORCID,Schneider Baruch

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference41 articles.

1. King, F.W.: Hilbert Transforms, vol. 2. Cambridge University Press, Cambridge (2009)

2. Zhdanov, M. S. (1984). Integral transforms in geophysics. Springer-Verlag, 1988, 1–367. English version of the book: Analogues of the Cauchy type integral in a theory of geophysical fields, Nauka, Moscow, 1–326

3. Luna-Elizarrarás, M.E., Pérez-de la Rosa, M.A., 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 Ukraine 10(4–5), 246–266 (2013)

4. Pérez-de la Rosa, M.A., Shapiro, M.: On the Hilbert operator and the Hilbert formulas on the unit sphere for the time-Harmonic Maxwell equations. Appl. Math. Comput. 248, 480–493 (2014)

5. Pérez-de la Rosa, M.A.: On the Hilbert formulas on the unit sphere for the time-Harmonic relativistic Dirac Bispinors theory. J. Math. Anal. Appl. 416(2), 575–596 (2014)

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