The Eisentein group and the pseudo hyperbolic functions
G.Dattoli, M.Migliorati, P.E.Ricci
TL;DR
This paper reviews the algebraic foundations of pseudo-hyperbolic functions using the Eisenstein group, highlighting their role in generalized Fourier transforms and number decomposition.
Contribution
It introduces a new algebraic perspective on pseudo-hyperbolic functions based on the Eisenstein group, connecting them to generalized Fourier analysis.
Findings
Pseudo-hyperbolic functions are characterized within the Eisenstein group framework.
The paper links these functions to number decomposition techniques.
Applications to generalized Fourier transforms are discussed.
Abstract
We review the teory of the pseudo-iperbolic functions on the basis of an algebraic point of view which employs the Eisenstein group. We frame the teory within the general context of the number decomposition and discuss the importance of these functions in the theory of the generalized Fourier transforms
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Analysis and Transform Methods · Mathematical and Theoretical Analysis · Algebraic and Geometric Analysis