Academic Bibliography

 Search 200 years of publications by Ghent University researchers.
Advanced search
1 file | 753.94 KB
Add to list
  1. Search results
  2. Nuclear pseudo-differential operators...

Nuclear pseudo-differential operators in Besov spaces on compact Lie groups

Duvan Cardona Sanchez (UGent)
(2017) JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. 23(5). p.1238-1262
Author
Organization
Abstract
In this work we establish the metric approximation property for Besov spaces defined on arbitrary compact Lie groups. As a consequence of this fact, we investigate trace formulae for nuclear Fourier multipliers on Besov spaces. Finally, we study the r-nuclearity, the Grothendieck-Lidskii formula and the (nuclear) trace of pseudo-differential operators in generalized Hormander classes acting on periodic Besov spaces. We will restrict our attention to pseudo-differential operators with symbols of limited regularity.
Keywords
Besov spaces, Nuclear trace, Pseudo-differential operator, Compact Lie group, Approximation property, APPROXIMATION PROPERTIES, L-P, SUBSPACES, PROPERTY, WIENER

Downloads

  • Download
    (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 753.94 KB

Citation

Please use this url to cite or link to this publication:

MLA
Cardona Sanchez, Duvan. “Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups.” JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, vol. 23, no. 5, 2017, pp. 1238–62, doi:10.1007/s00041-016-9512-8.
APA
Cardona Sanchez, D. (2017). Nuclear pseudo-differential operators in Besov spaces on compact Lie groups. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 23(5), 1238–1262. https://doi.org/10.1007/s00041-016-9512-8
Chicago author-date
Cardona Sanchez, Duvan. 2017. “Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups.” JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 23 (5): 1238–62. https://doi.org/10.1007/s00041-016-9512-8.
Chicago author-date (all authors)
Cardona Sanchez, Duvan. 2017. “Nuclear Pseudo-Differential Operators in Besov Spaces on Compact Lie Groups.” JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 23 (5): 1238–1262. doi:10.1007/s00041-016-9512-8.
Vancouver
1.
Cardona Sanchez D. Nuclear pseudo-differential operators in Besov spaces on compact Lie groups. JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. 2017;23(5):1238–62.
IEEE
[1]
D. Cardona Sanchez, “Nuclear pseudo-differential operators in Besov spaces on compact Lie groups,” JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, vol. 23, no. 5, pp. 1238–1262, 2017.
@article{8623026,
  abstract     = {{In this work we establish the metric approximation property for Besov spaces defined on arbitrary compact Lie groups. As a consequence of this fact, we investigate trace formulae for nuclear Fourier multipliers on Besov spaces. Finally, we study the r-nuclearity, the Grothendieck-Lidskii formula and the (nuclear) trace of pseudo-differential operators in generalized Hormander classes acting on periodic Besov spaces. We will restrict our attention to pseudo-differential operators with symbols of limited regularity.}},
  author       = {{Cardona Sanchez, Duvan}},
  issn         = {{1069-5869}},
  journal      = {{JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS}},
  keywords     = {{Besov spaces,Nuclear trace,Pseudo-differential operator,Compact Lie group,Approximation property,APPROXIMATION PROPERTIES,L-P,SUBSPACES,PROPERTY,WIENER}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{1238--1262}},
  title        = {{Nuclear pseudo-differential operators in Besov spaces on compact Lie groups}},
  url          = {{http://doi.org/10.1007/s00041-016-9512-8}},
  volume       = {{23}},
  year         = {{2017}},
}
Altmetric
View in Altmetric
Web of Science
Times cited: