Geodesic
On analogues of Laurent series for harmonic functions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 2, pp. 244-247 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The purpose of our paper is to obtain a canonical representation for harmonic functions defined in a half-space and vanishing everywhere on the boundary of the domains except at a fixed singular point.
Keywords: harmonic functions, half-space, singular points. 
@article{JSFU_2010_3_2_a9,
     author = {Barlikbay B. Prenov},
     title = {On analogues of {Laurent} series for harmonic functions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {244--247},
     year = {2010},
     volume = {3},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a9/}
}
TY  - JOUR
AU  - Barlikbay B. Prenov
TI  - On analogues of Laurent series for harmonic functions
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2010
SP  - 244
EP  - 247
VL  - 3
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a9/
LA  - ru
ID  - JSFU_2010_3_2_a9
ER  - 
%0 Journal Article
%A Barlikbay B. Prenov
%T On analogues of Laurent series for harmonic functions
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2010
%P 244-247
%V 3
%N 2
%U http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a9/
%G ru
%F JSFU_2010_3_2_a9
Barlikbay B. Prenov. On analogues of Laurent series for harmonic functions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 3 (2010) no. 2, pp. 244-247. http://geodesic.mathdoc.fr/item/JSFU_2010_3_2_a9/

[1] V. A. Kondratev, “Granichnye zadachi dlya ellipticheskikh uravnenii v oblastyakh s konicheskimi tochkami”, Trudy Mosk. mat. obschest., 16, 1967, 209–292

[2] B. Prenov, N. Tarkhanov, “Kernel-Spikes of Singular Problems”, Comm. Partial Diff. Eq., 28:3–4 (2003), 505–516 | DOI | MR | Zbl

[3] M. Sato, T. Kawai, M. Kashiwara, “Hyperfunctions and pseudodifferential equations”, Springer Lecture Notes in Math., 287, 1973, 265–529 | MR

[4] S. L. Sobolev, Vvedenie v teoriyu kubaturnykh formul, Nauka, M., 1974 | MR

[5] E. M. Stein, G. Weiss, Fourier Analysis on Euclidean Spaces, Princeton Univ. Press, Princeton, 1971 | MR | Zbl