Equivalence of the Gelfand-Shilov spaces

Journal of Mathematical Analysis and Applications

Volumn 203, Issue 3, 1996, Pages 828-839

  Chung, Jaeyoung ^a   Chung, Soon Yeong ^b   Kim, Dohan ^c  

^a Kunsan National University   (South Korea)

^b Sogang University   (South Korea)

^c Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030295926     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0414     Document Type: Article

References (11)

1. [BMT] R. W. Braun, R. Meise, and B. A. Taylor, Ultradifferentiable functions and Fourier analysis, Resultate Math. 17 (1990), 206-237.
2. [CCK1] J. Chung, S.-Y. Chung, and D. Kim, Une caractérisation de l'espace de Schwartz, C. R. Acad. Sci. Paris Sér. I Math. 316 (1993), 23-25.
3. [CCK2] J. Chung, S.-Y. Chung, and D. Kim, Characterizations of the Gelfand - Shilov spaces via Fourier transforms, Proc. Amer. Math. Soc., in press.
4. [CK] S.-Y. Chung and D. Kim, Representation of quasianalytic ultradistributions, Ark. Mat. 31 (1993), 51-60.
5. [CKK] S.-Y. Chung, D. Kim, and S. K. Kim, Equivalence of the spaces of ultradifferentiable functions and its application to the Whitney extension theorem, Rend. Mat. Appl. (7) 12 (1992), 365-380.
6. [GS] I. M. Gelfand and G. E. Shilov, "Generalized Functions, II, III," Academic Press, New York/London, 1967.
7. [H] L. Hörmander, "The Analysis of Linear Partial Differential Operator, I," Springer-Verlag, Berlin/New York, 1983.
8. β, Functional Anal. Appl. 14 (1978), 60.
9. [K] H. Komatsu, Ultradistributions, I, J. Fac. Sci. Univ. Tokyo Sect. IA 20 (1973), 25-105.
10. [P] R. S. Pathak, Tempered ultradistributions as the boundary values of analytic functions, Trans. Amer. Math. Soc. 286 (1984), 537-556.
11. [T] F. Treves, "Linear Partial Differential Equations with Constant Coefficients," Gordon & Breach, New York, 1966.