Representation of Weierstrass integral via Poisson integrals

DOI10.1007/S10958-021-05602-0zbMath1483.35068OpenAlexW3206829636MaRDI QIDQ2246235

Vasyl Ye. Sakhnyuk, Arsen M. Shutovskyi

Publication date: 16 November 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05602-0

zbMATH Keywords

Poisson integralseparation of variablesconjugate Poisson integralWeierstrass integral

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) Integral representations of solutions to PDEs (35C15) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Heat kernel (35K08)

Related Items (1)

Some applied aspects of the Dirac delta function

Cites Work

• Unnamed Item
• Some properties of operators of Abel-Poisson type
• On the theory of the boundary behavior of conjugate harmonic functions
• Stieltjes integrals in the theory of harmonic functions
• On the Hilbert boundary-value problem for Beltrami equations with singularities
• Asymptotics of approximation of functions by conjugate Poisson integrals
• Asymptotics of approximation of conjugate functions by Poisson integrals

This page was built for publication: Representation of Weierstrass integral via Poisson integrals