Partial inner product spaces of entire functions
Antoine, J.-P. ; Vause, M.
Annales de l'I.H.P. Physique théorique, Tome 35 (1981), p. 195-224 / Harvested from Numdam
Publié le : 1981-01-01
@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'I.H.P. Physique th\'eorique},
     volume = {35},
     year = {1981},
     pages = {195-224},
     mrnumber = {642084},
     zbl = {0484.46029},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1981__35_3_195_0}
}
Antoine, J.-P.; Vause, M. Partial inner product spaces of entire functions. Annales de l'I.H.P. Physique théorique, Tome 35 (1981) pp. 195-224. http://gdmltest.u-ga.fr/item/AIHPA_1981__35_3_195_0/

[1] J.-P. Antoine and A. Grossmann, J. Funct. Anal., t. 23, 1976, p. 369-378 (I). | MR 438071 | Zbl 0359.46020

[2] J.-P. Antoine and A. Grossmann, J. Funct. Anal., t. 23, 1976, p. 379-391 (II). | MR 438072 | Zbl 0359.46021

[3] J.-P. Antoine, J. Math. Phys., t. 21, 1980, p. 268-279 (III). | MR 558469 | Zbl 0477.46005

[4] J.-P. Antoine, J. Math. Phys., t. 21, 1980, p. 2067-2079 (IV). | MR 579203 | Zbl 0477.46006

[5] V. Bargmann, Commun. Pure Appl. Math., t. 14, 1961, p. 187-214. | MR 157250 | Zbl 0107.09102

[6] V. Bargmann, Commun. Pure Appl. Math., t. 20, 1967, p. 1-101. | MR 201959 | Zbl 0149.09601

[7] A. Grossmann, J. Math. Phys., t. 6, 1965, p. 54-67. | Zbl 0188.43905

[8] I. Daubechies, 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] I. Daubechies, Commun. Math. Phys., t. 75, 1980, p. 229-238. | MR 581947 | Zbl 0451.47059

[10] I. Daubechies, J. Math. Phys., t. 21, 1980, p. 1377-1389. | MR 574700 | Zbl 0453.22012

[11] I. Daubechies and A. Grossmann, J. Math. Phys., t. 21, 1980, p. 2080-2090. | MR 579204

[12] A. Grossmann, Commun. Math. Phys., t. 2, 1966, p. 1-30. | MR 196460 | Zbl 0134.31701

[13] A. Grossmann, Lectures at the Univ. Cath. Louvain, 1966 (unpublished) and private communication.

[14] N. Aronszajn, Trans. Amer. Math. Soc., t. 68, 1950, p. 337-404. | MR 51437 | Zbl 0037.20701

[15] P. Krée, 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 493468

[16] P. Krée and R. Raczka, Ann. Inst. H. Poincaré (A), t. 28, 1978, p. 41-73. | Numdam | MR 482179 | Zbl 0386.47015

[17] F. Trêves, Topological Vector Spaces, Distributions and Kernels, New York and London, Academic Press, 1967. | MR 225131 | Zbl 0171.10402

[18] I.M. Gel'Fand and N.Ya. Vilenkin, Generalized Functions, t. 4, New York and London, Academic Press, 1964.

[19] A. Grossmann, in 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 508404

[20] S.L. Hantler, Math. Scand., t. 39, 1976, p. 113-124. | MR 470242 | Zbl 0343.32018

[21] S.A. Shohat and J.D. Tamarkin, The Problem of Moments. Providence, R. I., Amer. Math. Soc., 1950. | Zbl 0041.43302

[22] E. Jahnke and F. Emde, Tables of Functions with Formulae and Curves, New York, Dover, 1945. | MR 15900 | Zbl 0061.29906

[23] J.-P. Antoine and W. Karwowski, Interpolation Theory and Refinement of Nested Hilbert Spaces. J. Math. Phys., t. 22, 1981 (in press). | MR 640657 | Zbl 0494.46023

[24] J.-P. Antoine and A. Grossmann, J. Math. Phys., t. 19, 1978, p. 329-335. | Zbl 0372.46025

[25] N.I. Ahiezer and M. Krein, 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 167806 | Zbl 0117.32702

[26] M.G. Krein and A.A. Nudel'Man, 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 458081 | Zbl 0361.42014