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The Spectral Theory of Toeplitz Operators. (AM-99) (Annals of Mathematics Studies) - Couverture souple

Livre 99 sur 202: Annals of Mathematics Studies

Boutet De Monvel, L.

 
9780691082790: The Spectral Theory of Toeplitz Operators. (AM-99) (Annals of Mathematics Studies)
Couverture souple
ISBN 10 : 0691082790 ISBN 13 : 9780691082790
Editeur : Princeton University Press, 1981

Synopsis

The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct parametrices for Toeplitz operators and create new Toeplitz operators out of old ones by functional operations.


If P is a self-adjoint pseudodifferential operator on a compact manifold with an elliptic symbol that is of order greater than zero, then it has a discrete spectrum. Also, it is well known that the asymptotic behavior of its eigenvalues is closely related to the behavior of the bicharacteristic flow generated by its symbol.


It is natural to ask if similar results are true for Toeplitz operators. In the course of answering this question, the authors explore in depth the analogies between Toeplitz operators and pseudodifferential operators and show that both can be viewed as the "quantized" objects associated with functions on compact contact manifolds.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Princeton University Press
Date d'édition
1981
Langue
anglais
ISBN 10 
0691082790
ISBN 13 
9780691082790
Reliure
Broché
Nombre de pages
168
Coordonnées du fabricant
non disponible
Personne responsable
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