Hostname: page-component-6bf8c574d5-qdpjg Total loading time: 0 Render date: 2025-02-19T21:54:00.809Z Has data issue: false hasContentIssue false
  • English
  • Français

THE RESOLVENT AND RIESZ TRANSFORM ON CONNECTED SUMS OF MANIFOLDS WITH DIFFERENT ASYMPTOTIC DIMENSIONS

Part of: Infinite-dimensional manifolds Special classes of linear operators General theory of linear operators

Published online by Cambridge University Press:  24 June 2021

DANIEL NIX
DANIEL NIX*
Affiliation:
Mathematical Sciences Institute, The Australian National University, Canberra, ACT 2601, Australia
*
e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'

Keywords

analysis on manifoldslow energy resolventRiesz transform

MSC classification

Primary: 58B20: Riemannian, Finsler and other geometric structures
Secondary: 47A10: Spectrum, resolvent 47B06: Riesz operators; eigenvalue distributions; approximation numbers, $s$-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 104 , Issue 2 , October 2021 , pp. 344 - 345
Check for updates
Copyright
© 2021 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to the Australian National University in December 2019; degree approved on 29 September 2020; supervisors Andrew Hassell and Adam Sikora.

References

Hassell, A. and Sikora, A., ‘Riesz transforms in one dimension’, Indiana Univ. Math. J. 58(2) (2009), 823–852.CrossRefGoogle Scholar
Hassell, A. and Sikora, A., ‘Riesz transforms on a class of non-doubling manifolds’, Comm. Partial Differential Equations 44(11) (2019), 1072–1099.CrossRefGoogle Scholar