On Complex Analytic tools, and the Holomorphic Rotation methods

Autor:	Coifman, Ronald R., Peyrière, Jacques, Weiss, Guido
Rok vydání:	2022
Předmět:	Mathematics - Classical Analysis and ODEs
Druh dokumentu:	Working Paper
Popis:	We describe recent nonlinear analytic approximation tools in the classical setting of Hardy spaces in the upper half plane and show how to transfer them to the higher dimensional real setting of harmonic functions in upper half spaces. It is known [6] that all harmonic functions in higher dimensions are combinations of holomorphic functions on 2 dimensional planes, extended as, constant in normal directions. We derive representation theorems, with corresponding isometries, opening the door for applications in higher dimensions, to the processing of highly oscillatory multidimensional signals. Comment: arXiv admin note: substantial text overlap with arXiv:2101.05311
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.01949 Zobrazit plný text záznamu View this record from Arxiv