liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A note on isoparametric polynomials
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, The Institute of Technology. (analysis)ORCID iD: 0000-0002-8422-6140
2014 (English)In: Analysis and Mathematical Physics, ISSN 1664-2368, E-ISSN 1664-235X, Vol. 4, no 3, 237-245 p.Article in journal (Refereed) Published
Abstract [en]

We show that any homogeneous polynomial solution of the eiconal type equation |∇F(x)|2 = m2|x|2m-2, m ≥ 1, is either a radially symmetric polynomial F(x) = ±|x|m (for even values of m’s) or it is a composition of a Chebychev polynomial and a Cartan–Münzner polynomial. 

Place, publisher, year, edition, pages
Basel: Springer, 2014. Vol. 4, no 3, 237-245 p.
Keyword [en]
isoparametric hypersurfaces, eiconal equation, Chebychev polynomial
National Category
Mathematical Analysis Geometry
Identifiers
URN: urn:nbn:se:liu:diva-103704DOI: 10.1007/s13324-014-0067-zISI: 000341587500005OAI: oai:DiVA.org:liu-103704DiVA: diva2:690580
Available from: 2014-01-24 Created: 2014-01-24 Last updated: 2017-12-06

Open Access in DiVA

No full text

Other links

Publisher's full texthttp://link.springer.com/article/10.1007/s13324-014-0067-z

Authority records BETA

Tkachev, Vladimir

Search in DiVA

By author/editor
Tkachev, Vladimir
By organisation
Mathematics and Applied MathematicsThe Institute of Technology
In the same journal
Analysis and Mathematical Physics
Mathematical AnalysisGeometry

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 92 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf