English

A note on the polar decomposition in metric spaces

Functional Analysis 2023-09-06 v1

Abstract

The analogue of polar coordinates in the Euclidean space, a polar decomposition in a metric space, if well-defined, can be very useful in dealing with integrals with respect to a sufficiently regular measure. In this note we handle the technical details associated with such polar decompositions.

Keywords

Cite

@article{arxiv.2309.00877,
  title  = {A note on the polar decomposition in metric spaces},
  author = {Zhirayr Avetisyan and Michael Ruzhansky},
  journal= {arXiv preprint arXiv:2309.00877},
  year   = {2023}
}

Comments

English version in pages 1-11, Armenian version in pages 12-22

R2 v1 2026-06-28T12:11:00.450Z