Characterizations of the Gelfand-Shilov spaces via Fourier transforms
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- by Jaeyoung Chung, Soon-Yeong Chung and Dohan Kim
- Proc. Amer. Math. Soc. 124 (1996), 2101-2108
- DOI: https://doi.org/10.1090/S0002-9939-96-03291-1
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Abstract:
We give symmetric characterizations, with respect to the Fourier transformation, of the Gelfand-Shilov spaces of (generalized) type $S$ and type $W$. These results explain more clearly the invariance of these spaces under the Fourier transformations.References
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Bibliographic Information
- Jaeyoung Chung
- Affiliation: Department of Mathematics, Kunsan National University, Kunsan 573–360, Korea
- Email: jychung@knusun1.kunsan.ac.kr
- Soon-Yeong Chung
- Affiliation: Department of Mathematics, Sogang University, Seoul 121-742, Korea
- Email: sychung@ccs.sogang.ac.kr
- Dohan Kim
- Affiliation: Department of Mathematics, Seoul National University, Seoul 151–742, Korea
- Email: dhkim@math.snu.ac.kr
- Received by editor(s): November 3, 1994
- Received by editor(s) in revised form: January 26, 1995
- Additional Notes: Partially supported by Korea Research Foundation and GARC.
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2101-2108
- MSC (1991): Primary 46F12, 46F15
- DOI: https://doi.org/10.1090/S0002-9939-96-03291-1
- MathSciNet review: 1322917