Inversion formula and Parsval theorem for complex continuous wavelet transforms studied by entangled state representation

Details Inversion formula and Parsval theorem for complex continuous wavelet transforms studied by entangled state representation Inversion formula and Parsval theorem for complex continuous wavelet transforms studied by entangled state representation

2009-10-28

arxiv.org/abs/0910.5354v1

Physics

Quantum Physics

4 pages no figure

Scientific paper

In a preceding Letter (Opt. Lett. 32, 554 (2007)) we have proposed complex continuous wavelet transforms (CCWTs) and found Laguerre--Gaussian mother wavelets family. In this work we present the inversion formula and Parsval theorem for CCWT by virtue of the entangled state representation, which makes the CCWT theory complete. A new orthogonal property of mother wavelet in parameter space is revealed.

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