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H 1 Truncated Toeplitz operators

Auteurs : Câmara, Cristina (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Toeplitz matrices and operators constitute one of the most important and widely studied classes of non-self-adjoint operators. In this talk we consider truncated Toeplitz operators, a natural generalisation of finite Toeplitz matrices. They appear in various contexts, such as the study of finite interval convolution equations, signal processing, control theory, diffraction problems, hydrodynamics, elasticity, and they play a fundamental role in the study of complex symmetric operators. We will focus mainly on their invertibility and Fredholmness properties, showing in particular that they are equivalent after extension to block Toeplitz operators, and how this can be used to study the spectra of several classes of truncated Toeplitz operators.

    Codes MSC :
    47B35 - Toeplitz operators, Hankel operators, Wiener-Hopf operators

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 15/06/17
      Date de captation : 08/06/17
      Collection : Research talks
      Format : MP4
      Durée : 00:41:33
      Domaine : Analyse & Applications ; Mathematical Physics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2017-06-08_Camara.mp4

    Informations sur la rencontre

    Nom du congrès : Mathematical aspects of physics with non-self-adjoint operators / Les aspects mathématiques de la physique avec les opérateurs non-auto-adjoints
    Organisteurs Congrès : Krejcirik, David ; Siegl, Petr
    Dates : 05/06/17 - 09/06/17
    Année de la rencontre : 2017
    URL Congrès : http://conferences.cirm-math.fr/1596.html

    Citation Data

    DOI : 10.24350/CIRM.V.19182103
    Cite this video as: Câmara, Cristina (2017). Truncated Toeplitz operators. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19182103
    URI : http://dx.doi.org/10.24350/CIRM.V.19182103

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