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Séminaire de EDP - Physique Mathématique

Hankel matrices and their multiplicative analogues (en commun avec le séminaire d'analyse)

Sasha Pushnitski

( King's college London )

Salle de Conférences

le 06 octobre 2016 à 14:00

A Hankel matrix is an infinite matrix of the form {a(n+m)}, where n, mare non-negative integers. A multiplicative Hankel matrix is an infinite matrix of the form {a(nm)} (the argument of a is the product of n and m), where n and m are positive integers. The theory of Hankel matrices is classical and well established, while the theory of their multiplicative analogues seems to be in its infancy. I will attempt to give a survey and comparison of these twotheories; topics to be covered are: boundedness, positive definiteness, finite rank properties, and spectral analysis of some concrete examples.