Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces

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Toft J., Uster R., Morsalfard E. N., Oztop S.

FORUM MATHEMATICUM, cilt.34, sa.5, ss.1205-1232, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 5
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1515/forum-2021-0279
  • Dergi Adı: FORUM MATHEMATICUM
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1205-1232
  • Anahtar Kelimeler: Gabor analysis, Gelfand Shilov spaces, Pilipovic spaces, ultradistributions, Bargmann transform, INTEGRABLE GROUP-REPRESENTATIONS, GELFAND-SHILOV SPACES, PSEUDODIFFERENTIAL-OPERATORS
  • İstanbul Üniversitesi Adresli: Evet

Özet

We deduce continuity, compactness and invariance properties for quasi-Banach Orlicz modulation spaces on R-d. We characterize such spaces in terms of Gabor expansions and by their images under the Bargmann transform.