Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 8
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Original Articles

On uncertainty bounds and growth estimates for fractional fourier transforms

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Pages 891-899 | Accepted 29 Nov 2005, Published online: 04 Sep 2006

References

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  • Bonami , A , Demange , B and Jaming , Ph . 2003 . Hermite functions and uncertainty principles for the Fourier and windowed Fourier transforms . Revista Matematica Iberoamericana , 19 : 23 – 55 .
  • Gelfand , IM and Shilov , GE . 1968 . Generalized Functions , New York : Academic Press .
  • Folland , G.B . 1989 . Harmonic Analysis in Phase Space , Princeton : Princeton University Press .
  • Janssen , AJEM and Van Eijndhoven , SJL . 1990 . Spaces of type W, growth of Hermite coefficients, Wigner distribution and Bargmann transform . Journal of Mathematical Analysis and Applications , 152 : 368 – 390 .
  • Cho , J . 1999 . A characterization of Gelfand–Shilov space based on Wigner distribution . Korean Mathematical Society, Communications , 14 : 761 – 767 .
  • Chung , J , Chung , S-Y and Kim , D . 1996 . Characterizations of the Gelfand–Shilov spaces via Fourier transforms . Proceedings of the American Mathematical Society , 124 : 2101 – 2108 .

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