Multilinear tau-Wigner transform

Sandıkçı A.

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, cilt.11, sa.4, ss.1465-1487, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s11868-020-00336-0
  • Dergi Adı: JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1465-1487
  • Anahtar Kelimeler: Multilinear tau-Wigner transform, Short-time Fourier transform, Modulation spaces, MODULATION SPACES, PSEUDODIFFERENTIAL CALCULUS, CONTINUITY PROPERTIES, OPERATORS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this work, we introduce a tau-dependent multilinear Wigner transform W-tau, tau is an element of [0, 1](d). It also includes various types of multilinear time-frequency representations, among the others the classical multilinear Wigner and Rihaczek representations and some properties of multilinear tau-Wigner transform. We then prove the boundedness properties of multilinear tau-Wigner transform both on products of Lebesgue spaces and on modified version of modulation spaces.