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Titolo:
Toeplitz operators with frequency modulated semi-almost periodic symbols
Autore:
Bottcher, A; Grudsky, S; Spitkovsky, L;
Indirizzi:
TU Chemnitz, Fak Math, D-09107 Chemnitz, Germany TU Chemnitz Chemnitz Germany D-09107 Fak Math, D-09107 Chemnitz, Germany Rostov Don State Univ, Fac Mech & Math, Rostov 344711, Russia Rostov Don State Univ Rostov Russia 344711 & Math, Rostov 344711, Russia Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA Coll William & Mary Williamsburg VA USA 23187 Williamsburg, VA 23187 USA
Titolo Testata:
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
fascicolo: 5, volume: 7, anno: 2001,
pagine: 523 - 535
SICI:
1069-5869(2001)7:5<523:TOWFMS>2.0.ZU;2-S
Fonte:
ISI
Lingua:
ENG
Keywords:
Toeplitz operator; almost periodic function; semi-almost periodic function; Fredholm operator; frequency modulation;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Engineering, Computing & Technology
Citazioni:
18
Recensione:
Indirizzi per estratti:
Indirizzo: Bottcher, A TU Chemnitz, Fak Math, D-09107 Chemnitz, Germany TU Chemnitz Chemnitz Germany D-09107 09107 Chemnitz, Germany
Citazione:
A. Bottcher et al., "Toeplitz operators with frequency modulated semi-almost periodic symbols", J FOURIER A, 7(5), 2001, pp. 523-535

Abstract

It is well known that amplitude modulation does not affect Fredholmness ofToeplitz operators, The same is true for frequency modulation provided thesymbol of the operator is piecewise continuous. In this article, it is shown that frequency modulation can destroy Fredholmness for Toeplitz operators with almost periodic symbols; the corresponding example is based on the observation that certain almost periodic functions become semi-almost periodic functions after appropriate frequency modulation. Moreover, this articlecontains several results that can be employed in order to decide whether aToeplitz-operator with a frequency modulated semi-almost periodic symbol is Fredholm.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 04/04/20 alle ore 12:26:10