Identification of Operators with Bandlimited Symbols

نویسندگان

  • Werner Kozek
  • Götz E. Pfander
چکیده

Underspread and overspread operators are Hilbert–Schmidt operators with strictly bandlimited Kohn–Nirenberg symbols. In this paper, we prove a classical conjecture concerning the necessity of the underspread condition for the identifiability of such operator classes, and, in doing so, we exhibit a new uncertainty principle phenomenon in the time-frequency analysis of operators.

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 37  شماره 

صفحات  -

تاریخ انتشار 2005