@article{ASNSP_1993_4_20_2_313_0, author = {A\u{i}zenberg, L. A. and Rea, C.}, title = {The moment-condition for the free boundary problem for $CR$ functions}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {313--322}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 20}, number = {2}, year = {1993}, mrnumber = {1233640}, zbl = {0787.32021}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1993_4_20_2_313_0/} }
TY - JOUR AU - Aĭzenberg, L. A. AU - Rea, C. TI - The moment-condition for the free boundary problem for $CR$ functions JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1993 SP - 313 EP - 322 VL - 20 IS - 2 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1993_4_20_2_313_0/ LA - en ID - ASNSP_1993_4_20_2_313_0 ER -
%0 Journal Article %A Aĭzenberg, L. A. %A Rea, C. %T The moment-condition for the free boundary problem for $CR$ functions %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1993 %P 313-322 %V 20 %N 2 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1993_4_20_2_313_0/ %G en %F ASNSP_1993_4_20_2_313_0
Aĭzenberg, L. A.; Rea, C. The moment-condition for the free boundary problem for $CR$ functions. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 20 (1993) no. 2, pp. 313-322. http://archive.numdam.org/item/ASNSP_1993_4_20_2_313_0/
[1] On the possibility of holomorphic continuation from a part of the boundary of a domain to the whole domain. A generalization of the theorem of Fock-Kuni, Complex analysis and mathematical physic, Krasnoyarsk, 5-11 (1980) (Russian).
,[2] Carleman formulas in complex analysis. First application "Nauka", Novosibirsk 1990, (Russian). | Zbl
,[3] On the holomorphic extendability of functions given on a connected part of a boundary, Mat. Sb., 4, 490-507 (1991) (Russian). | Zbl
- ,[4] Simple conditions for holomorphic continuation from a part of the boundary of a convex domain to the whole domain, preprint, Dept. of Math., Royal Institute of technology, 5-100 44 Stockholm, Sweden, 7 (1991).
,[5] On the holomorphic extendability of functions given on a connected part of a boundary, II, preprint, Roma Tor Vergata, 14 (1991).
- ,[6] F.E. Levi convexity and the Hans Levy problem, Part I and II, Ann. Scuola Norm. Sup. Pisa, Cl. Sci., 26, 325-363 and 747-806 (1972). | Numdam | Zbl
- ,[7] On the introduction of a "annihilating" function in the dispersion equations of gases, Dokl. Akad. Nauk SSSR, 127:6, 1195-1198 (1959) (Russian). | Zbl
- ,[8] An Introduction to complex analysis in several variables, Van Nostrand 1966. | MR | Zbl
,[9] The Cauchy problem for holomorphic functions of Hardy class H2, preprint 53M, Institut Fiziki 50 AN SSSR, Krasnoyarsk, 21 (1990) (Russian).
- ,[10] On some new problems for Hardy class functions and continuous families of functions with double orthogonality, Soviet Math. Dokl. 14:2 (1973). | Zbl
- ,[11] Singular integral equations, P. Noordhoff N.V - Groningen- Holland, 435, (1953). | MR | Zbl
,[12] Representation of Hp functions, Bull. Amer. Math. Soc., 78:4, 617-620 (1972). | MR | Zbl
,[13] Ein Ergänzungssatz für Cauchyschen Integraldarstellung analytischer Funktionen, Randwerte betreffend, Monatshefte für Math. u. Phys. XIX, 211-245 (1908). | JFM
,[14] Conditions for the solution of the Cauchy problem for holomorphic functions, Proc. Conf. of geometric theory of functions, Novosibirsk, 1988.
,[15] Abschnitte von Randfunktionen beschränkter Analytischer Funktionen, Lecture Notes in Math. 419, 342-351, (1974). | MR | Zbl
,[16] Conditions for the holomorphic extension of functions of class L2 given on a part of the Shilov boundary of circular, starshaped domains, Sibirsk. Mat. Zh., 31:3 (1990). | MR | Zbl
,[ 17] Esistenza e rappresentazione di funzioni analitiche, le quali, su una curva di Jordan, si riducono ad una funzione assegnata, Ann. Mat. Pura Appl. 34, 365-405 (1953). | MR | Zbl
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