Generalization of an invertible transformation and examples of its applications

Mario Bruschi, Francesco Calogero, François Leyvraz, Matteo Sommacal

Research output: Contribution to journalArticlepeer-review

Abstract

Recently we highlighted the remarkable nature of an explicitly invertible transformation, we reported some generalizations of it and examples of its expediency in several mathematical contexts: algebraic and Diophantine equations, dynamical systems (with continuous and discrete time), nonlinear PDEs, analytical geometry, functional equations. In this paper we report a significant generalization of this approach and we again illustrate via some analogous examples its expediency to identify problems which appear far from trivial but are in fact explicitly solvable.
Original languageEnglish
Pages (from-to)519-540
JournalJournal of Nonlinear Mathematical Physics
Volume18
Issue number04
DOIs
Publication statusPublished - 2011

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