Multidimensional short-time fractional Fourier transform

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Sandıkçı A.

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

• Publication Type: Article / Article
• Publication Date: 2025
• Doi Number: 10.1080/10652469.2025.2483247
• Journal Name: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
• Ondokuz Mayıs University Affiliated: Yes

Abstract

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.