Multidimensional short-time fractional Fourier transform
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.37, sa.1, ss.1-14, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.1080/10652469.2025.2483247
- Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.1-14
- 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.