Inversion formula and Parsval theorem for complex continuous wavelet transforms studied by entangled state representation
Quantum Physics
2015-05-14 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0910.5354,
title = {Inversion formula and Parsval theorem for complex continuous wavelet transforms studied by entangled state representation},
author = {Li-yun Hu and Hong-yi Fan},
journal= {arXiv preprint arXiv:0910.5354},
year = {2015}
}
Comments
4 pages no figure