𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spectral order and isotonic differential operators of Laguerre–Pólya type

✍ Scribed by Julius Borcea


Book ID
107382355
Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
363 KB
Volume
44
Category
Article
ISSN
0004-2080

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Spectral analysis of fourth order differ
✍ Horst Behncke 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 177 KB

## Abstract This paper extends the results of the two previous papers in several directions. For one we allow slower decay of the coefficients, but higher order differentiability. For this an expansion for the diagonalizing transformations is derived. Secondly unbounded coefficients are permitted.

Spectral analysis of fourth order differ
✍ Horst Behncke 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 218 KB

## Abstract We study the spectral theory of differential operators of the form on ℒ^2^~__w__~ (0, ∞). By means of asymptotic integration, estimates for the eigenfunctions and__M__ ‐matrix are derived. Since the __M__ ‐function is the Stieltjes transform of the spectral measure, spectral properties

An inverse spectral theory of Gel'fand-L
✍ W. W. Zachary 📂 Article 📅 1984 🏛 Springer 🌐 English ⚖ 408 KB

An inverse spectral theory is presented for certain linear ordinary differential operators of arbitrary even order n which generalizes the Gel'fand-Levitan theory for Stu~m-Liouville operators. It is proved that the coefficients in these operators are uniquely determined by n -1 distinct spectral ma

Spectral analysis of higher order differ
✍ Horst Behncke; Fredrick Oluoch Nyamwala 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 209 KB

## Abstract Higher even order linear differential operators with unbounded coefficients are studied. For these operators the eigenvalues of the characteristic polynomials fall into distinct classes or clusters. Consequently the spectral properties, deficiency indices and spectra, of the underlying