Integration over nonrectifiable curves as a distribution

D. B. Kats

Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Tome 176 (2020), pp. 50-60.

Résumé

This paper is a review of results related to the generalization of the concept of a curvilinear integral to nonrectifiable curves, Marcinkiewicz exponents, new metric characteristics introduced by the author, and their applications.

Détail

Keywords: integration, Marcinkiewicz exponents, metric characteristics
Mots-clés : non-rectifiable curve, fractal.

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