On trace theorems for pseudo-differential operators
N. Lerner, D. Yafaev (1995-1996)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Displaying similar documents to “A remark on symbols of an operator”
On trace theorems for pseudo-differential operators
Index formulas for pseudodifferential operators with discontinuous symbols
Grigori V. Rozenblum (1994)
Journées équations aux dérivées partielles
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Trace class pseudodifferential calculus with operator valued symbols and unusual index formulas
Grigori Rozenblum (2000-2001)
Séminaire Équations aux dérivées partielles
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For several classes of pseudodifferential operators with operator-valued symbol analytic index formulas are found. The common feature is that usual index formulas are not valid for these operators. Applications are given to pseudodifferential operators on singular manifolds.
Weyl numbers versus Z-Weyl numbers
Bernd Carl, Andreas Defant, Doris Planer (2014)
Studia Mathematica
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Given an infinite-dimensional Banach space Z (substituting the Hilbert space ℓ₂), the s-number sequence of Z-Weyl numbers is generated by the approximation numbers according to the pattern of the classical Weyl numbers. We compare Weyl numbers with Z-Weyl numbers-a problem originally posed by A. Pietsch. We recover a result of Hinrichs and the first author showing that the Weyl numbers are in a sense minimal. This emphasizes the outstanding role of Weyl numbers within the theory of eigenvalue...
Some remarks on Weyl pseudodifferential operators
Jan Derezinski (1993)
Journées équations aux dérivées partielles
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Two remarks about spectral asymptotics of pseudodifferential operators
Wojciech Czaja, Ziemowit Rzeszotnik (1999)
Colloquium Mathematicae
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In this paper we show an asymptotic formula for the number of eigenvalues of a pseudodifferential operator. As a corollary we obtain a generalization of the result by Shubin and Tulovskiĭ about the Weyl asymptotic formula. We also consider a version of the Weyl formula for the quasi-classical asymptotics.
On the theorem of Meusnier in Weyl spaces
A. Szybiak, Trán dinh Vién (1973)
Annales Polonici Mathematici
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Weyl's Theorem for a Generalized Derivation and an Elementary Operator
B.P. Duggal (2002)
Matematički Vesnik
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Applications of Fourier integral operators
J. J. Duistermaat (1971-1972)
Séminaire Équations aux dérivées partielles (Polytechnique)
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Hypoelliptic differential operators
Lars Hörmander (1961)
Annales de l'institut Fourier
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On donne une condition suffisante pour l’hypoellipticité d’une équation différentielle à coefficients variables. La démonstration utilise une paramétrix construite par transformation de Fourier.