References
- Nabizadeh E, Pfeuffer C, Toft J. Paley-Wiener properties for spaces of entire functions, (preprint), arXiv:1806.10752.
- Toft J. Images of function and distribution spaces under the Bargmann transform. J Pseudo-Differ Oper Appl. 2017;8:83–139. doi: 10.1007/s11868-016-0165-9
- Hörmander L. The analysis of linear partial differential operators, vol. I–III. Berlin: Springer-Verlag; 1983. 1985.
- Fernandez C, Galbis A, Toft J. The Bargmann transform and powers of harmonic oscillator on Gelfand-Shilov subspaces. RACSAM. 2017;111:1–13. doi: 10.1007/s13398-015-0273-z
- Reed M, Simon B. Methods of modern mathematical physics. London: Academic Press; 1979.
- Pilipović S. Tempered ultradistributions. Boll U.M.I.. 1988;7:235–251.
- Pilipović S. Generalization of Zemanian spaces of generalized functions which have orthonormal series expansions. SIAM J Math Anal. 1986;17:477–484. doi: 10.1137/0517037
- Bargmann V. On a Hilbert space of analytic functions and an associated integral transform. Commun Pure Appl Math. 1961;14:187–214. doi: 10.1002/cpa.3160140303
- Bargmann V. On a Hilbert space of analytic functions and an associated integral transform. part II. a family of related function spaces. application to distribution theory. Commun Pure Appl Math. 1967;20:1–101. doi: 10.1002/cpa.3160200102
- Gröchenig KH. Foundations of time-frequency analysis. Boston (MA): Birkhäuser; 2001.
- Toft J. Tensor products for Gelfand-Shilov and Pilipović distribution spaces. J Anal (appeared online 2019).
- Cordero AUGRP E, Pilipović S, Rodino L, et al. Quasianalytic Gelfand-Shilov spaces with applications to localization operators. Rocky Mt J Math. 2010;40:1123–1147. doi: 10.1216/RMJ-2010-40-4-1123
- Janssen AUGRP AMEM, Eijndhoven SJL. Spaces of type W, growth of Hermite coefficients, Wigner distribution, and Bargmann transform. J Math Anal Appl. 1990;152:368–390. doi: 10.1016/0022-247X(90)90071-M
- Toft AUGRPJ. The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators. J Pseudo-Differ Oper Appl. 2012;3:145–227. doi: 10.1007/s11868-011-0044-3