Harmonic Analysis
<|reference_start|>Harmonic Analysis: This paper describes a method of calculating the transforms, currently obtained via Fourier and reverse Fourier transforms. The method allows calculating efficiently the transforms of a signal having an arbitrary dimension of the digital representation by reducing the transform to a vector-to-circulant matrix multiplying. There is a connection between harmonic equations in rectangular and polar coordinate systems. The connection established here and used to create a very robust iterative algorithm for a conformal mapping calculation. There is also suggested a new ratio (and an efficient way of computing it) of two oscillative signals.<|reference_end|>
@article{clue2005harmonic,
    title={Harmonic Analysis},
    author={Vladimir I Clue},
    journal={arXiv preprint arXiv:cs/0501065},
    year={2005},
    archivePrefix={arXiv},
    eprint={cs/0501065},
    primaryClass={cs.NA cs.DM}
}