Time–Frequency Localization Operators: State of the Art

• Autores: Federico Bastianoni
• Localización: Landscapes of Time-Frequency Analysis: ATFA 2019 / coord. por Paolo Boggiatto, 2020, ISBN 978-3-030-56005-8, págs. 63-72
• Idioma: inglés
• Enlaces
  • Texto Completo Libro (pdf)
• Resumen

  • We present localization operators via the short-time Fourier transform. For both modulation and ultra-modulation spaces framework, well-known results about boundedness and Schatten-von Neumann class are reported. Asymptotic eigenvalues’ distribution and decay and smoothness properties for L2- eigenfunctions are exhibited. Eventually, we make a conjecture about smoothness of L2-eigenfunctions for localization operators with Gelfand–Shilov windows and symbols in ultra-modulation spaces.