Distribution theory on p.c.f. fractals

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We construct a theory of distributions in the setting of analysis on post-critically finite self-similar fractals, and on fractafolds and products based on such fractals. The results include basic properties of test functions and distributions, a structure theorem showing that distributions are locally-finite sums of powers of the Laplacian applied to continuous functions, and an analysis of the distributions with point support. Possible future applications to the study of hypoelliptic partial differential operators are suggested.
38 pages

Keywords

Functional Analysis, Classical Analysis and ODEs, 28A80, 46F05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/224483

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.4127
 http://arxiv.org/abs/0903.4127

Collections

arXiv