Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 103, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.103 (Mi sigma1185) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Strictly Positive Definite Kernels on a Product of Spheres II

Jean C. Guella, Valdir A. Menegatto, Ana P. Peron

Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Caixa Postal 668, 13560-970, São Carlos - SP, Brasil
Full-text PDF (334 kB) Citations (14)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2016.103
Abstract: We present, among other things, a necessary and sufficient condition for the strict positive definiteness of an isotropic and positive definite kernel on the cartesian product of a circle and a higher dimensional sphere. The result complements similar results previously obtained for strict positive definiteness on a product of circles [Positivity, to appear, arXiv:1505.01169] and on a product of high dimensional spheres [J. Math. Anal. Appl. 435 (2016), 286–301, arXiv:1505.03695].
Keywords: positive definite kernels; strictly positive definiteness; isotropy; covariance functions; sphere; circle.
Funding agency Grant number
Fundação de Amparo à Pesquisa do Estado de São Paulo 2014/00277-5
2014/25796-5
2016/03015-7
Second author acknowledges partial financial support from FAPESP, grant 2014/00277-5. Likewise, the third author acknowledges support from the same foundation, under grants 2014/25796-5 and 2016/03015-7.
Received: June 1, 2016; in final form October 24, 2016; Published online October 28, 2016
Bibliographic databases:
Document Type: Article
MSC: 33C50; 33C55; 42A16; 42A82; 42C10; 43A35
Language: English
Citation: Jean C. Guella, Valdir A. Menegatto, Ana P. Peron, “Strictly Positive Definite Kernels on a Product of Spheres II”, SIGMA, 12 (2016), 103, 15 pp.
Citation in format AMSBIB
\Bibitem{GueMenPer16}
\by Jean~C.~Guella, Valdir~A.~Menegatto, Ana~P.~Peron
\paper Strictly Positive Definite Kernels on a Product of Spheres II
\jour SIGMA
\yr 2016
\vol 12
\papernumber 103
\totalpages 15
\mathnet{http://mi.mathnet.ru/sigma1185}
\crossref{https://doi.org/10.3842/SIGMA.2016.103}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000386344500001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84996561743}
Linking options:
  • https://www.mathnet.ru/eng/sigma1185
  • https://www.mathnet.ru/eng/sigma/v12/p103
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:145
    Full-text PDF :33
    References:40
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024