Derivatives of orbital function and an extension of Berezin-Gel’fand’s theorem

• Autorzy: Tin-Yau Tam , William C. Hill
• Języki publikacji: EN

Abstrakty

EN

A generalization of a result of Berezin and Gel’fand in the context of Eaton triples is given. The generalization and its proof are Lie-theoretic free and requires some basic knowledge of nonsmooth analysis. The result is then applied to determine the distance between a point and a G-orbit or its convex hull.We also discuss the derivatives of some orbital functions.

Słowa kluczowe

EN

Berezin-Gel’fand’s theorem; subdifferential; Clarke generalized gradient; Lebourg mean valuetheorem; Eaton triple; reduced triple; finite reflection group

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2016
• Tom: 4
• Numer: 1

Daty

otrzymano

2016-06-05

zaakceptowano

2016-11-28

online

2016-12-14

Twórcy

autor

Tin-Yau Tam

• Department of Mathematics and Statistics, 221 Parker Hall, Auburn University, Auburn, AL 36849-5310, USA

autor

William C. Hill

• Department of Mathematics, Middle Georgia State University, 100 University Pkwy, Macon, GA 31206, USA

Identyfikatory

DOI

10.1515/spma-2016-0033