Standard
A panorama of positivity. II: fixed dimension. /
Belton, Alexander; Guillot, Dominique; Khare, Apoorva et al.
Complex Analysis and Spectral Theory. ed. / H. Garth Dales; Dmitry Khavinson; Javad Mashreghi. Providence, RI: American Mathematical Society, 2020. p. 109-150 (Contemporary Mathematics; Vol. 743).
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed) › peer-review
Harvard
Belton, A, Guillot, D, Khare, A & Putinar, M 2020,
A panorama of positivity. II: fixed dimension. in HG Dales, D Khavinson & J Mashreghi (eds),
Complex Analysis and Spectral Theory. Contemporary Mathematics, vol. 743, American Mathematical Society, Providence, RI, pp. 109-150.
https://doi.org/10.1090/conm/743/14958
APA
Belton, A., Guillot, D., Khare, A., & Putinar, M. (2020).
A panorama of positivity. II: fixed dimension. In H. G. Dales, D. Khavinson, & J. Mashreghi (Eds.),
Complex Analysis and Spectral Theory (pp. 109-150). (Contemporary Mathematics; Vol. 743). American Mathematical Society.
https://doi.org/10.1090/conm/743/14958
Vancouver
Belton A, Guillot D, Khare A, Putinar M.
A panorama of positivity. II: fixed dimension. In Dales HG, Khavinson D, Mashreghi J, editors, Complex Analysis and Spectral Theory. Providence, RI: American Mathematical Society. 2020. p. 109-150. (Contemporary Mathematics). doi: 10.1090/conm/743/14958
Author
Bibtex
@inbook{4d0339b4f8a740e1b3793d882b0340a3,
title = "A panorama of positivity. II: fixed dimension",
abstract = "This survey contains a selection of topics unified by the concept of positive semidefiniteness (of matrices or kernels), reflecting natural constraints imposed on discrete data (graphs or networks) or continuous objects (probability or mass distributions). We put emphasis on entrywise operations which preserve positivity, in a variety of guises. Techniques from harmonic analysis, function theory, operator theory, statistics, combinatorics, and group representations are invoked. Some partially forgotten classical roots in metric geometry and distance transforms are presented with comments and full bibliographical references. Modern applications to high-dimensional covariance estimation and regularization are included.",
author = "Alexander Belton and Dominique Guillot and Apoorva Khare and Mihai Putinar",
year = "2020",
month = mar,
day = "31",
doi = "10.1090/conm/743/14958",
language = "English",
isbn = "9781470446925",
series = "Contemporary Mathematics",
publisher = "American Mathematical Society",
pages = "109--150",
editor = "Dales, {H. Garth} and Dmitry Khavinson and Javad Mashreghi",
booktitle = "Complex Analysis and Spectral Theory",
address = "United States",
}
RIS
TY - CHAP
T1 - A panorama of positivity. II
T2 - fixed dimension
AU - Belton, Alexander
AU - Guillot, Dominique
AU - Khare, Apoorva
AU - Putinar, Mihai
PY - 2020/3/31
Y1 - 2020/3/31
N2 - This survey contains a selection of topics unified by the concept of positive semidefiniteness (of matrices or kernels), reflecting natural constraints imposed on discrete data (graphs or networks) or continuous objects (probability or mass distributions). We put emphasis on entrywise operations which preserve positivity, in a variety of guises. Techniques from harmonic analysis, function theory, operator theory, statistics, combinatorics, and group representations are invoked. Some partially forgotten classical roots in metric geometry and distance transforms are presented with comments and full bibliographical references. Modern applications to high-dimensional covariance estimation and regularization are included.
AB - This survey contains a selection of topics unified by the concept of positive semidefiniteness (of matrices or kernels), reflecting natural constraints imposed on discrete data (graphs or networks) or continuous objects (probability or mass distributions). We put emphasis on entrywise operations which preserve positivity, in a variety of guises. Techniques from harmonic analysis, function theory, operator theory, statistics, combinatorics, and group representations are invoked. Some partially forgotten classical roots in metric geometry and distance transforms are presented with comments and full bibliographical references. Modern applications to high-dimensional covariance estimation and regularization are included.
U2 - 10.1090/conm/743/14958
DO - 10.1090/conm/743/14958
M3 - Chapter (peer-reviewed)
SN - 9781470446925
T3 - Contemporary Mathematics
SP - 109
EP - 150
BT - Complex Analysis and Spectral Theory
A2 - Dales, H. Garth
A2 - Khavinson, Dmitry
A2 - Mashreghi, Javad
PB - American Mathematical Society
CY - Providence, RI
ER -
