Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Holomorphic Fock representations and partial differential equations on countably Hilbert spaces


Author: Thomas A. W. Dwyer III
Journal: Bull. Amer. Math. Soc. 79 (1973), 1045-1050
MSC (1970): Primary 35R15, 58B10, 32K05; Secondary 47B10, 46E10, 81A17
DOI: https://doi.org/10.1090/S0002-9904-1973-13326-9
MathSciNet review: 0320749
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [Ba] V. Bargmann, On a Hilbert space of analytic functions and an associated integral transform. II. A family of related function spaces. Application to distribution theory, Comm. Pure Appl. Math. 20 (1967), 1-101. MR 34 #1836. MR 201959
  • [Be] F. A. Berezin, The method of second quantization, Nauka, Moscow, 1965; English transl., Pure and Appl. Physics, vol. 24, Academic Press, New York, 1966. MR 34 #2263; 34 #8738. MR 202392
  • [D1] T. Dwyer, Partial differential equations in Fischer-Fock spaces for the Hilbert-Schmidt holomorphy type, Bull. Amer. Math. Soc. 77 (1971), 725-730. MR 44 #7288. MR 290103
  • [D2] T. Dwyer, Holomorphic representation of tempered distributions and weighted Fock spaces, Proc. Colloq. Analyse (Rio de Janeiro, 15-24 August 1972), Actualités Sci. Indust., Hermann, Paris (to appear). MR 402496
  • [D3] T. Dwyer, Partial differential equations in holomorphic Fock spaces, Proc. Sympos. Anal. (Recife, 9-29 July 1972), Lecture Notes in Math., Springer-Verlag, New York (to appear). MR 404893
  • [KMP] P. Kristensen, L. Mejlbo and E. Poulsen, Tempered distributions in infinitely many dimensions. I. Canonical field operators, Commun. Math. Phys. 1 (1965), 175-214. MR 31 #5085. MR 180855
  • [P] D. Pisanelli, Sur les applications analytiques en dimension infinie, C. R. Acad. Sci. Paris Sér: A-B 274 (1972), A760-A762. MR 294720
  • [R] J. Rzewuski, Hilbert spaces of functional power series, Rep. Math. Phys. 1 (1970/71), no. 3, 195-210. MR 44 # 1349. MR 284120

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 35R15, 58B10, 32K05, 47B10, 46E10, 81A17

Retrieve articles in all journals with MSC (1970): 35R15, 58B10, 32K05, 47B10, 46E10, 81A17


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1973-13326-9

American Mathematical Society