Calabi–Yau structure and Bargmann type transformation on the Cayley projective plane
Author:
Affiliation:
1. Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science
2. Osaka City University Advanced Mathematical Institute (=OCAMI)
Publisher
Mathematical Society of Japan (Project Euclid)
Subject
General Mathematics
Reference24 articles.
1. [Ba] V. Bargmann, On a Hilbert space of analytic functions and an associated integral transform. Part II. A family of related function spaces application to distribution theory, Comm. Pure Appl. Math., 20 (1967), 1–101.
2. [Be] A. L. Besse, Manifolds All of Whose Geodesics Are Closed, Ergeb. Math. Grenzgeb., 93, Springer-Verlag, 1978.
3. [BS] A. Böttcher and B. Silbermann, Analysis of Toeplitz Operators, Springer Monogr. Math., Springer-Verlag, 2006.
4. [Ch1] H. Chihara, Holomorphic Hermite functions in Segal–Bargmann spaces, Complex Anal. Oper. Theory, 13 (2019), 351–374.
5. [Ch2] H. Chihara, Bargmann-type transforms and modified harmonic oscillators, Bull. Malays. Math. Sci. Soc., 43 (2020), 1719–1740.
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