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We discuss the qualitative uncertainty principle for Gabor transform on certain classes of the locally compact groups, like abelian groups, $\R^n\times K$, $K \ltimes \R^n$ where $K$ is compact group. We shall also prove a weaker version of qualitative uncertainty principle for Gabor transform in case of compact groups.
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참고문헌 (11)
참고문헌 신청
A. Bansal / 2016 / Heisenberg uncertainty inequality for Gabor transform / J. Math. Inequal 10 : 737 ~ 749
A. Ghaani Farashahi / 2012 / Continuous Gabor transform for a class of non-Abelian groups / Bull. Belg. Math. Soc. Simon Stevin 19 (4) : 683 ~ 701
E. Hewitt / 1963 / Abstract Harmonic Analysis I / Springer-Verlag
E. Wilczok / 2000 / New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform / Doc. Math 5 : 201 ~ 226
G. B. Folland / 1994 / A Course in Abstract Harmonic Analysis / CRC Press
A. Ghaani Farashahi / 2012 / Continuous Gabor transform for a class of non-Abelian groups / Bull. Belg. Math. Soc. Simon Stevin 19 (4) : 683 ~ 701
E. Hewitt / 1963 / Abstract Harmonic Analysis I / Springer-Verlag
E. Wilczok / 2000 / New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform / Doc. Math 5 : 201 ~ 226
G. B. Folland / 1994 / A Course in Abstract Harmonic Analysis / CRC Press
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