On the eigenvalues of certain canonical higher-order ordinary differential operators

Journal of Mathematical Analysis and Applications

Volumn 322, Issue 2, 2006, Pages 990-1000

  Böttcher, Albrecht ^a   Widom, Harold ^b  

^a CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Asymptotic expansion; Eigenvalue; Ordinary differential operator

Indexed keywords

EID: 33747046396     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.09.080     Document Type: Article

References (4)

1. Böttcher A., and Widom H. From Toeplitz eigenvalues through Green's kernels to higher-order Wirtinger-Sobolev inequalities. math.FA/0412269
2. Horgan C.O. A note on a class of integral inequalities. Proc. Cambridge Philos. Soc. 74 (1973) 127-131
3. Parter S.V. Extreme eigenvalues of Toeplitz forms and applications to elliptic difference equations. Trans. Amer. Math. Soc. 99 (1961) 153-192
4. Parter S.V. On the extreme eigenvalues of truncated Toeplitz matrices. Bull. Amer. Math. Soc. 67 (1961) 191-196