A Note on the D-trigonometry and the Relevant D-Fourier Expansions

DOI

10.2991/gaf.k.201210.002How to use a DOI?

Keywords

Generalized trigonometry; generalized Fourier analysis; approximation of piece-wise linear functions

Abstract

Considering the diamond, i.e. the square inclined at an angle of 45°, it is possible to define the analogues of circular functions and to construct formulas that translate the trigonometric ones. The relative D-trigonometric functions have geometric shapes closely related to the corresponding classical ones, so that the orthogonality property can also be proven and D-Fourier expansions follow easily. Possible applications can be found in the representation piece-wise linear functions in a simpler way form compared to ordinary Fourier analysis.

Copyright

© 2020 The Author. Published by Atlantis Press B.V.

Open Access

This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Paolo Emilio Ricci
PY  - 2020
DA  - 2020/12/18
TI  - A Note on the D-trigonometry and the Relevant D-Fourier Expansions
JO  - Growth and Form
SP  - 11
EP  - 16
VL  - 2
IS  - 1
SN  - 2589-8426
UR  - https://doi.org/10.2991/gaf.k.201210.002
DO  - 10.2991/gaf.k.201210.002
ID  - Ricci2020
ER  -