Standard
A panorama of positivity. I: dimension free. /
Belton, Alexander; Guillot, Dominique; Khare, Apoorva et al.
Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume. ed. / Alexandru Aleman; Haakan Hedenmalm; Dmitry Khavinson; Mihai Putinar. Cham: Birkhauser, 2019. p. 117-165 (Trends in Mathematics).
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter (peer-reviewed) › peer-review
Harvard
Belton, A, Guillot, D, Khare, A & Putinar, M 2019,
A panorama of positivity. I: dimension free. in A Aleman, H Hedenmalm, D Khavinson & M Putinar (eds),
Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume. Trends in Mathematics, Birkhauser, Cham, pp. 117-165.
https://doi.org/10.1007/978-3-030-14640-5_5
APA
Belton, A., Guillot, D., Khare, A., & Putinar, M. (2019).
A panorama of positivity. I: dimension free. In A. Aleman, H. Hedenmalm, D. Khavinson, & M. Putinar (Eds.),
Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume (pp. 117-165). (Trends in Mathematics). Birkhauser.
https://doi.org/10.1007/978-3-030-14640-5_5
Vancouver
Belton A, Guillot D, Khare A, Putinar M.
A panorama of positivity. I: dimension free. In Aleman A, Hedenmalm H, Khavinson D, Putinar M, editors, Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume. Cham: Birkhauser. 2019. p. 117-165. (Trends in Mathematics). doi: 10.1007/978-3-030-14640-5_5
Author
Belton, Alexander ; Guillot, Dominique ; Khare, Apoorva et al. /
A panorama of positivity. I: dimension free. Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume. editor / Alexandru Aleman ; Haakan Hedenmalm ; Dmitry Khavinson ; Mihai Putinar. Cham : Birkhauser, 2019. pp. 117-165 (Trends in Mathematics).
Bibtex
@inbook{268b58fb217c4b4aaaadde60a895e5b8,
title = "A panorama of positivity. I: dimension free",
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 = "2019",
month = may,
day = "31",
doi = "10.1007/978-3-030-14640-5_5",
language = "English",
isbn = "9783030146399",
series = "Trends in Mathematics",
publisher = "Birkhauser",
pages = "117--165",
editor = "Alexandru Aleman and Hedenmalm, {Haakan } and Dmitry Khavinson and Mihai Putinar",
booktitle = "Analysis of Operators on Function Spaces",
}
RIS
TY - CHAP
T1 - A panorama of positivity. I: dimension free
AU - Belton, Alexander
AU - Guillot, Dominique
AU - Khare, Apoorva
AU - Putinar, Mihai
PY - 2019/5/31
Y1 - 2019/5/31
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 - 10.1007/978-3-030-14640-5_5
DO - 10.1007/978-3-030-14640-5_5
M3 - Chapter (peer-reviewed)
SN - 9783030146399
T3 - Trends in Mathematics
SP - 117
EP - 165
BT - Analysis of Operators on Function Spaces
A2 - Aleman, Alexandru
A2 - Hedenmalm, Haakan
A2 - Khavinson, Dmitry
A2 - Putinar, Mihai
PB - Birkhauser
CY - Cham
ER -
