Toggle Main Menu Toggle Search

Open Access padlockePrints

A panorama of positivity. II: Fixed dimension

Lookup NU author(s): Professor Mihai Putinar


Full text for this publication is not currently held within this repository. Alternative links are provided below where available.


© 2020 American Mathematical Society. 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.

Publication metadata

Author(s): Belton A, Guillot D, Khare A, Putinar M

Editor(s): H. Garth Dales, Dmitry Khavinson, Javad Mashreghi

Publication type: Book Chapter

Publication status: Published

Book Title: Complex Analysis and Spectral Theory

Year: 2020

Volume: 743

Pages: 109-150

Print publication date: 30/03/2020

Acceptance date: 02/04/2018

Series Title: Contemporary Mathematics

Publisher: American Mathematical Society

Place Published: Providence, RI


DOI: 10.1090/conm/743/14958

Library holdings: Search Newcastle University Library for this item

ISBN: 9781470446925