The Bargmann transform and powers of harmonic oscillator on Gelfand–Shilov subspaces

Author:

Fernández Carmen,Galbis Antonio,Toft Joachim

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Reference13 articles.

1. Berend, D., Tassa, T.: Improved bounds on Bell numbers and on moments of sums of random variables. Probab. Math. Stat. 30, 185–205 (2010)

2. Chung, J., Chung, S.-Y., Kim, D.: Characterizations of the Gelfand–Shilov spaces via Fourier transforms. Proc. Am. Math. Soc. 124, 2101–2108 (1996)

3. de Bruijn, N.G.: Asymptotic Methods in Analysis. Bibliotheca Mathematica, 2nd edn. North-Holland Publishing Co., P. Noordhoff Ltd., Groningen (1961)

4. Gelfand, I.M., Shilov, G.E.: Generalized Functions, II–III. Academic Press, NewYork, London (1968)

5. Gramchev, T., Pilipović, S., Rodino, L.: Classes of degenerate elliptic operators in Gelfand–Shilov spaces. In: Rodino, L., Wong, M.W. (eds.) New Developments in Pseudo-Differential operators, Operator Theory: Advances and Applications, vol. 189, pp. 15–31. Birkhäuser, Basel (2009)

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