## Abstract We show the completeness of the system of generalized eigenfunctions of closed extensions of elliptic cone operators under suitable conditions on the symbols (Β© 2010 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
The Completeness of Generalized Eigenfunctions of a Discrete Operator
β Scribed by Lianping Zhang
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 112 KB
- Volume
- 261
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
In this paper we present some conditions for the completeness of generalized eigenfunctions of a discrete operator. These conditions invole the boundedness of its eigenprojections or the properties of its resolvent.
π SIMILAR VOLUMES
## Abstract Generalized second order differential operators of the form $ {d \over {d \mu}} {d \over {dx}} $ when __ΞΌ__ is a selfsimilar measure whose support is the classical Cantor set are considered. The asymptotic distribution of the zeros of the eigenfunctions is determined. (Β© 2004 WILEYβVCH
We construct an integral representation of eigenfunctions for Macdonald's q-difference operator associated with the root system of type C n . It is given in terms of a restriction of a q-Jordan Pochhammer integral. Choosing a suitable cycle of the integral, we obtain an integral representation of a