Multidimensional short-time fractional Fourier transform

Sandıkçı A.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1080/10652469.2025.2483247
  • Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this paper, we present a theoretical framework that defines and describes the fundamental aspects of the L-2(R-d) theory of multidimensional short-time fractional Fourier transform. We begin by defining multidimensional short-time fractional Fourier transform, before going on to describe its properties and the inner product relation. Later, we consider its d-dimensional and 2d-dimensional inverse transforms. Finally, we arrive at the sufficient conditions for the boundedness of the multidimensional short-time fractional Fourier transform acting on Lebesgue spaces.