@article{ASNSP_1984_4_11_2_177_0,
author = {Saerens, Rita},
title = {Interpolation manifolds},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {177--211},
year = {1984},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 11},
number = {2},
mrnumber = {764942},
zbl = {0579.32023},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1984_4_11_2_177_0/}
}
TY - JOUR AU - Saerens, Rita TI - Interpolation manifolds JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1984 SP - 177 EP - 211 VL - 11 IS - 2 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1984_4_11_2_177_0/ LA - en ID - ASNSP_1984_4_11_2_177_0 ER -
Saerens, Rita. Interpolation manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 11 (1984) no. 2, pp. 177-211. https://www.numdam.org/item/ASNSP_1984_4_11_2_177_0/
[1] - P, Embedding theorems for commutative Banach algebras, Pacific J. Math., 18 (1966), pp. 391-409. | Zbl | MR
[2] , A general Rudin-Carleson theorem, Proc. Amer. Math. Soc., 13 (1962), pp. 140-143. | Zbl | MR
[3] - , Extending functions from submanifolds of the boundary, Duke Math. J., 43 (1976), pp. 391-404. | Zbl | MR
[4] - , Ensembles pics pour A∞(D), Ann. Inst. Fourier (Grenoble), 29, 3 (1979), pp. 171-200. | Zbl | Numdam
[5] , The theorems of Lindetöf and Fatou in C n, Math. USSR-Sb., 21 (1973), pp. 619-639. | Zbl
[6] - , Boundary properties of holomorphic functions of several complex variables, J. Soviet Math., 5 (1976), pp. 612-687. | Zbl | MR
[7] , Carleson sets in Cn, n ≽ 1; Aspects of Contemporary Complex Analysis, Academic Press, London (1980), pp. 119-136. | Zbl
[8] - , Peak interpolation sets for some algebras of analytic functions, Pacific J. Math., 41 (1972), pp. 81-87. | Zbl | MR
[9] , The classification of Legendre immersions, Ann. Inst. Fourier (Grenoble), to appear.
[10] FORELLI, Measures orthogonal to polydisc algebras, J. Math. Mech., 17 (1968), pp. 1073-1086. | Zbl | MR
[11] - , Characterisation of global peak sets for A∞(D), Math. Ann., 259 (1982), pp. 125-130. | Zbl
[12] , Peaks sets for polydisc algebras, Michigan Math. J., 29 (1982), pp. 221-227. | Zbl | MR
[13] , Norm preserving interpolation sets for polydisc algebras, Math. Proc. Cambridge Philos. Soc., 91 (1982), pp. 291-303. | Zbl | MR
[14] - , Ensembles pics dans des domaines strictement pseudoconvexes, Duke Math. J., 45 (1978), pp. 601-617. | Zbl | MR
[15] - , Interpolation submanifolds of pseudoconvex domains, Translations Amer. Math. Soc., 115 (1980), pp. 59-69. | Zbl
[16] , A peak set of Hausdorff dimension 2n - 1 for the algebra A (D) in the boundary of a domain D with C∞-boundary in Cn, Math. Ann., 259 (1982), pp. 271-277. | Zbl
[17] , Banach Spaces of Analytic Functions, Prentice-Hall, Englewood Cliffs, 1962. | Zbl | MR
[18] , Boundary values and estimates for holomorphic functions of several complex variables, Duke Math. J., 47 (1980), pp. 81-98. | Zbl | MR
[19] , Function Theory of Several Complex Variables, John Wiley & Sons, New York, 1982. | Zbl | MR
[20] , Submanifolds of Dimension n-1 in εn with Normals Ssatisfying a Lipschitz Condition, Studies in Eigenvalue problems, Technical Report 18, University of Kansas, 1957.
[21] , Algèbres de Fonctions et Espaces de Hardy, Lect. Notes Math., 75, Springer-Verlag, Berlin, 1968. | Zbl | MR
[22] , Smooth zero sets and interpolation sets for some algebras of holomorphic functions on strictly pseudoconvex domains, Duke Math. J., 43 (1976), pp. 323-348. | Zbl | MR
[23] and , Local boundary behavior of bounded holomorphic functions, Canad. J. Math., 30 (1978), pp. 583-592. | Zbl | MR
[24] - , Ck -approximation by holomorphic functions and ∂-closed forms on Ck-submanifolds of a complex manifold, Math. Ann., 210 (1974), pp. 105-122. | Zbl
[25] , Function Theory in Polydiscs, W. A. Benjamin, New York, 1969., | Zbl | MR
[26] , Peak-interpolation sets of class C1, Pacific J. Math., 75 (1978) pp. 267-279. | Zbl | MR
[27] , Holomorphic Lipschitz functions in balls, Comment. Math. Helv., 53 (1978), pp. 143-147. | Zbl | MR
[28] , Function Theory in the Unit Ball of Cn, Springer-Verlag, New York, 1980. | Zbl | MR
[29] , Interpolation manifolds (thesis), University of Washington, 1983.
[30] , Boundary values of holomorphic functions, Bull. Amer. Math. Soc., 76 (1970), pp. 1292-1296. | Zbl | MR
[31] , Boundary Behavior of Holomorphic Functions of Several Complex Variables, Mathematical Notes, Princeton University Press, Princeton, 1972. | Zbl | MR
[32] , Singular integrals and estimates for the Cauchy-Riemann equations, Bull. Amer. Math. Soc., 79 (1973), pp. 440-445. | Zbl | MR
[33] , The Theory of Uniform Algebras, Bogden & Quigley, Tarrytownon-Hudson, 1971. | Zbl | MR
[34] , On the multiplicative Cousin problem with bounded data, Ann. Scuola Norm. Sup. Pisa. Cl. Sci., 27 (1973), pp. 1-17. | Zbl | MR | Numdam
[35] , Hp- functions on strictly pseudoconvex domains, Amer. J. Math., 98 (1976), pp. 821-852. | Zbl | MR
[36] , Interpolation manifolds; Recent Developments in Several Complex Variables, Princeton University Press, Princeton (1981), pp. 373-391. | Zbl | MR
[37] , Dimension of peak-interpolation sets, Proc. Amer. Math. Soc., 86 (1982), pp. 413-416. | Zbl | MR
[38] - , The peaks sets of Am, Proc. Amer. Math. Soc., 24 (1970), pp. 604-606. | Zbl | MR
[39] , A peak set for the disc algebra of metric dimension 2.5 in the three dimensional unit sphere, Math. USSR-Izv., 11 (1977), pp. 353-359. | Zbl
[40] , Zero-sets of continuous holomorphic functions on the boundary of a strongly pseudoconvex domain, J. London Math. Soc., 18 (1978), pp. 484-488. | Zbl | MR





