This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Keldysh, M. V. On the solvability and stability of the Dirichlet problem. UMN st.ser. 8. 171–292.
Brelot, M. Sur l'approximation et la convergence dans la théorie des harmoniques ou holomorphes. Bull.Soc.Math.France. 73, 55–70 (1945).
Deny, J. Sur l'approximation des fonctions harmoniques. Bull. Soc.Math.France. 73, 71–73 (1945).
Gonchar, A. A., Mergelyan, S. N. Uniform approximation by analytic and harmonic functions. Contemporary problems in analytic function theory. (1966).
Shaginyan, A. A. On uniform and tangential harmonic approximation of continuous functions on arbitrary sets. Math.zametky. v. 9, N2, 131–142, (1971).
Labreche, M. De l'approximation harmonique uniforme. These, Universite de Montreal. (1982).
Shaginyan, A. A. Tangential harmonic and gradient approximations. Doklady Acad. Sci. Arm. SSR v. 77, N1, 3–5, (1983).
Arakelyan, N. U. Uniform and tangential approximation by analytic functions. Izv.Acad.Sci.Arm.SSR.Math. v. 2, N4–5, (1968).
Landkof, N. S. Foundations of modern potential theory. Springer-Verlag (1972).
Shaginyan, A. A. On solvability of Dirichlet problem for harmonic functions in unbounded domains of Euclidean spaces and on the open Riemann surfaces. Doklady Acad.Sci.Arm.SSR. v. 78, n3, 99–100, (1984).
Shaginyan, A. A. A boundary singularity of functions that are harmonic inside a ball. Doklady Acad.Sci.Arm.SSR, v. 78, N2, 51–52, (1984).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1987 Springer-Verlag
About this paper
Cite this paper
Shaginyan, A.A. (1987). On tangential harmonic approximation and some related problems. In: Berenstein, C.A. (eds) Complex Analysis I. Lecture Notes in Mathematics, vol 1275. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078360
Download citation
DOI: https://doi.org/10.1007/BFb0078360
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-18356-3
Online ISBN: 978-3-540-47899-7
eBook Packages: Springer Book Archive