Wick calculus: A time-frequency approach

Elena Cordero; Luigi Rodino

doi:ojm/1153494314

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Home > Journals > Osaka J. Math. > Volume 42 > Issue 1 > Article

March 2005 Wick calculus: A time-frequency approach

Elena Cordero, Luigi Rodino

Osaka J. Math. 42(1): 43-63 (March 2005).

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Abstract

Anti-Wick operators are a class of pseudodifferential-type operators that are also known under the names of Time-frequency localization operators or Gabor-Toeplitz operators or wave packets. We consider a general version of Wick operators, depending on different window functions, and we investigate the related calculus, obtaining a composition formula that extends the known results [1, 3, 5, 15, 16, 18].