@article{AIHPA_1981__35_3_195_0, author = {Antoine, J.-P. and Vause, M.}, title = {Partial inner product spaces of entire functions}, journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique}, pages = {195--224}, publisher = {Gauthier-Villars}, volume = {35}, number = {3}, year = {1981}, mrnumber = {642084}, zbl = {0484.46029}, language = {en}, url = {http://www.numdam.org/item/AIHPA_1981__35_3_195_0/} }
TY - JOUR AU - Antoine, J.-P. AU - Vause, M. TI - Partial inner product spaces of entire functions JO - Annales de l'institut Henri Poincaré. Section A, Physique Théorique PY - 1981 SP - 195 EP - 224 VL - 35 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPA_1981__35_3_195_0/ LA - en ID - AIHPA_1981__35_3_195_0 ER -
%0 Journal Article %A Antoine, J.-P. %A Vause, M. %T Partial inner product spaces of entire functions %J Annales de l'institut Henri Poincaré. Section A, Physique Théorique %D 1981 %P 195-224 %V 35 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPA_1981__35_3_195_0/ %G en %F AIHPA_1981__35_3_195_0
Antoine, J.-P.; Vause, M. Partial inner product spaces of entire functions. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 35 (1981) no. 3, pp. 195-224. http://www.numdam.org/item/AIHPA_1981__35_3_195_0/
[1] J. Funct. Anal., t. 23, 1976, p. 369-378 (I). | MR | Zbl
and ,[2] J. Funct. Anal., t. 23, 1976, p. 379-391 (II). | MR | Zbl
and ,[3] J. Math. Phys., t. 21, 1980, p. 268-279 (III). | MR | Zbl
,[4] J. Math. Phys., t. 21, 1980, p. 2067-2079 (IV). | MR | Zbl
,[5] Commun. Pure Appl. Math., t. 14, 1961, p. 187-214. | MR | Zbl
,[6] Commun. Pure Appl. Math., t. 20, 1967, p. 1-101. | MR | Zbl
,[7] J. Math. Phys., t. 6, 1965, p. 54-67. | Zbl
,[8] Representations of Quantum Mechanical Operators by Kernels on Hilbert Spaces of Analytic Functions (Ph. D. Thesis, Vrije Univ. Brussel, 1980), and to be published.
,[9] Commun. Math. Phys., t. 75, 1980, p. 229-238. | MR | Zbl
,[10] J. Math. Phys., t. 21, 1980, p. 1377-1389. | MR | Zbl
,[11] J. Math. Phys., t. 21, 1980, p. 2080-2090. | MR
and ,[12] Commun. Math. Phys., t. 2, 1966, p. 1-30. | MR | Zbl
,[13] Lectures at the Univ. Cath. Louvain, 1966 (unpublished) and private communication.
,[14] Trans. Amer. Math. Soc., t. 68, 1950, p. 337-404. | MR | Zbl
,[15] Séminaire « Équations aux dérivées partielles en dimension infinie » (Paris, Secr. Math.), t. 2, 1977, exposé n°1 ; id., t. 3, 1978, exposé n°5 . | MR
,[16] Ann. Inst. H. Poincaré (A), t. 28, 1978, p. 41-73. | Numdam | MR | Zbl
and ,[17] Topological Vector Spaces, Distributions and Kernels, New York and London, Academic Press, 1967. | MR | Zbl
,[18] Generalized Functions, t. 4, New York and London, Academic Press, 1964.
and ,[19] Group Theoretical Methods in Physics (Proceedings Tübingen, 1977), ed. by P. Kramer and A. Rieckers; Lecture Notes in Physics, t. 79, p. 162-179 ; Berlin, Springer-Verlag, 1978. | MR
, in[20] Math. Scand., t. 39, 1976, p. 113-124. | MR | Zbl
,[21] The Problem of Moments. Providence, R. I., Amer. Math. Soc., 1950. | Zbl
and ,[22] Tables of Functions with Formulae and Curves, New York, Dover, 1945. | MR | Zbl
and ,[23] Interpolation Theory and Refinement of Nested Hilbert Spaces. J. Math. Phys., t. 22, 1981 (in press). | MR | Zbl
and ,[24] J. Math. Phys., t. 19, 1978, p. 329-335. | Zbl
and ,[25] Some Questions in the Theory of Moments. Providence, R. I., Amer. Math. Soc., Transl. Math. Monog., t. 2, 1962 ; original Russian ed., Kharkov, 1938. | MR | Zbl
and ,[26] The Markov Moment Problem and Extremal Problems. Providence, R. I., Amer. Math. Soc., Transl. Math. Monog., t. 50, 1977 ; original Russian ed., Moscow, 1973. | MR | Zbl
and ,