Wavelet transform associated to an induced representation of
Takeshi Kawazoe (1996)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Transforms associated to square integrable group representations. II : examples”
Wavelet transform associated to an induced representation of
N-dimensional affine Weyl-Heisenberg wavelets
C. Kalisa, B. Torrésani (1993)
Annales de l'I.H.P. Physique théorique
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Time-frequency representations : wavelet packets and optimal decomposition
B. Torresani (1992)
Annales de l'I.H.P. Physique théorique
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New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform.
Wilczok, Elke (2000)
Documenta Mathematica
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Coherent states of the 1+1 dimensional Poincaré group : square integrability and a relativistic Weyl transform
S. Twareque Ali, J.-P. Antoine (1989)
Annales de l'I.H.P. Physique théorique
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Continuous wavelet transform on semisimple Lie groups and inversion of the Abel transform and its dual.
K. Trimèche (1996)
Collectanea Mathematica
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In this work we define and study wavelets and continuous wavelet transform on semisimple Lie groups G of real rank l. We prove for this transform Plancherel and inversion formulas. Next using the Abel transform A on G and its dual A*, we give relations between the continuous wavelet transform on G and the classical continuous wavelet transform on Rl, and we deduce the formulas which give the inverse operators of the operators A and A*.
Wavelets on the integers.
Philip Gressman (2001)
Collectanea Mathematica
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In this paper the theory of wavelets on the integers is developed. For this, one needs to first find analogs of translations and dyadic dilations which appear in the classical theory. Translations in l2(Z) are defined in the obvious way, taking advantage of the additive group structure of the integers. Dyadic dilations, on the other hand, pose a greater problem. In the classical theory of wavelets on the real line, translation T and dyadic dilation T obey the commutativity relation DT^2...