viorel catana university politehnica of bucharest department of mathematics i
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Weyl transforms and the generalized Hermite operator.The abstract Cauchy problem (ACP) for the abstract Hermite operator. Viorel Catana University Politehnica of Bucharest Department of Mathematics I catana_viorel@yahoo.co.uk. The 10th French-Romanian Conference on Applied Mathematics - PowerPoint PPT PresentationTRANSCRIPT
Weyl transforms and the generalized Hermite operator.The abstract Cauchy problem (ACP) for the abstract Hermite operator.Viorel Catana University Politehnica of Bucharest Department of Mathematics Icatana_viorel@yahoo.co.ukThe 10th French-Romanian Conference on Applied Mathematics
Poitiers (Futuroscope ) ,France , August 26-31 , 2010
TopicsIntroductionBasic definitions and notationsPreliminary results The generalized Hermite semigroupThe inverse of the generalized Hermite operatorThe heat kernel of the generalized Hermite operatorThe Green function of the generalized Hermite operator Global hypoellipticityUltracontractivity and HypercontractivityThe abstract Hermite semigroupThe abstract Cauchy problem (ACP) for the abstract Hermite operator
Introduction
References
The twisted Laplacian
Wongs research about twisted Laplacian
Basic definitions & notations
The generalized Hermite operator
Basic transformations
The generalized Hermite functions
Preliminary results
Main results concerning the Hermite semigroup
For the proof of Theorem 6 we need the following two results (see Chapter 17 of the book [17] and Theorem 15.4 and Theorem 17.1 in the book [16] by Wong).
The inverse of the generalized Hermite operator
The heat kernel
Preliminary result
The Green function of the generalized Hermite operator
Global hypoellipticity
Ultracontractivity and Hypercontractivity
The abstract Cauchy problem (ACP) for the abstract Hermite operator
The abstract Hermite operator
The semigroup of the abstract Hermite operator
An estimate of the abstract Hermite semigroup
The (ACP) for the abstract Hermite operator
Merci pour votre aimable attention!
Thank you for your kind attention!