In this paper we derive second-order asymptotic results for matrices Matrices of the above form can be thought of as variable-coefficient Toeplitz matrices, or a discrete analogue of a pseudodifferential operator. Ideas from pseudodifferential operator theory are used in the proof.
Trace formulas for Toeplitz matrices with piecewise continuous symbols
β Scribed by E.L Basor
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 540 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
During the last fifteen years it has become clear that local principles are a powerful tool in investigating FREDHO LM properties of singular integral operators and TOEPLITZ operators\*). We remind here only of the local methods of I. B. SIMONENKO [15], [lG], V. S. PILIDI [12], R. G. DOUGLAS [i] and
## Q 1. Introduction The singular integral operator S, on the half-line R,, m being the simplest example of a WIENER-HOPF integral operator with piecewise continuous symbol, suggests that there ought to be some reason to consider such operators not only in L2(R+) but also in Lp(R+) (1 < p < 0 0 )
## Abstract A symbol calculus for the smallest Banach subalgebra π~[__SO,PC__]~ of the Banach algebra β¬οΈ(__L^n^~p~__(β)) of all bounded linear operators on the Lebesgue spaces __L^n^~p~__(β) (1 < __p__ < β, __n__ β₯ 1) which contains all the convolution type operators __W~a,b~__ = __a__β±^β1^__b__β± w