d8a44215-7da2-4421-aa6d-e062672a42c520251120075037479wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS2224-28801109-276910.37394/23206http://wseas.org/wseas/cms.action?id=4051120202512020252410.37394/23206.2025.24https://wseas.com/journals/mathematics/2025.phpAyşeSandikçiDepartment of Mathematics, Ondokuz Mayıs University, Faculty of Science, 55200, Atakum-Samsun, TURKEYThe multidimensional short-time fractional Fourier transform, which involves multiplying the signal by a time-shifted window prior to performing the multidimensional fractional Fourier transform, is the subject of this work. The multidimensional short-time fractional Fourier transform on Morrey, Besov, and weighted Besov spaces is examined for boundedness.112020251120202565165965https://wseas.com/journals/mathematics/2025/b325106-035(2025).pdf10.37394/23206.2025.24.65https://wseas.com/journals/mathematics/2025/b325106-035(2025).pdf10.1109/78.330368Almeida L. B., The Fractional Fourier Transform and Time-Frequency Representations, IEEE Transactions Signal Processing, Vol.42, No.11, 1994, pp. 3084– 3091. 10.1016/j.acha.2021.04.004Chen W., Fu Z., Grafakos L., Wu Y., Fractional Fourier Transforms on p L and Applications, Applied and Computational Harmonic Analysis, Vol.55, No.2, 2021, pp.71-96. Gröchenig, K. Foundations of TimeFreuquency Analysis, Birkhauser, Boston, 2001. 10.1080/10652469.2019.1684486Kamalakkannan R., Roopkumar R., Multidimensional Fractional Fourier Transform and Generalized Fractional Convolution. Integral Transforms and Special Functions, Vol.31, No.2, 2020, pp.152-165. 10.37394/23206.2022.21.80Khampakdee J., Boonpok C., Upper and Lower    ,sp -continuous Multifunction, WSEAS Transactions on Mathematics, vol. 21, 2022, pp. 684-690. 10.37394/23206.2024.23.108Lazopoulos K.A., Lazopoulos A., Karaoulanis D.,  -fractional Analysis. Basic Theory and Applications, WSEAS Transactions on Mathematics, vol. 23, 2024, pp. 1050-1085, http://doi.org/10.37394/23206.2024.23.108. 10.1093/imamat/39.2.159McBride A. C., Kerr F. H., On Namias's Fractional Fourier Transforms, IMA Journal of Applied Mathematics, Vol.39, 1987, pp.159-175. 10.1093/imamat/25.3.241Namias V., The Fractional Order of Fourier Transform and Its Application in Quantum Mechanics, Journal of the Institute of Mathematics and its Applications, Vol.25, 1980, pp. 241-265. Özaktas H. M., Kutay M. A., Zalevsky Z., The Fractional Fourier Transform with Applications in Optics and Signal Processing, John Wiley & Sons Ltd, England, 2001. 10.1007/s11868-012-0051-zSandıkçı A., On Lorentz Mixed Normed Modulation Spaces, Journal of PseudoDifferential Operators and Applications, Vol.3, 2012, pp.263-281. Sandıkçı A., Boundedness of STFrFT on Both Unweighted and Weighted Hardy and BMO Spaces, Montes Taurus Journal of Pure and Applied Mathematics, Vol.6, No.2, 2024, pp.127-137. 10.1080/10652469.2025.2483247Sandıkçı A., Multidimensional Short-Time Fractional Fourier Transform, Integral Transforms and Special Functions, 2025, pp.1–14, https://doi.org/10.1080/10652469.2025.24832 47. 10.37394/23206.2022.21.45Viriyapong C., Boonpok C.,   ,sp - continuous Functions, WSEAS Transactions on Mathematics, Vol.21, 2022, pp.380-385. Wiener N., Hermitian Polynomials and Fourier Analysis, Journal of Mathematical Physics, Vol.8, 1929, 70-73. 10.1007/s11432-020-2909-5Gao W. B., Li, B. Z., Convolution Theorem Involving n-dimensional Windowed Fractional Fourier Transform, Science China Information Sciences, Vol.64, No.6, 2021, 169302, https://doi.org/10.1007/s11432-020- 2909-5. 10.7494/opmath.2021.41.5.701Verma A.K., Gupta B., Certain Properties of Continuous Fractional Wavelet Transform on Hardy Space and Morrey Space, Opuscula Mathematica, Vol.41, No.5, 2021, pp.701- 723. 10.1134/s1061920813030023Chuong N. M., Duong D.V., Boundedness of the Wavelet Integral Operator on Weighted Function Spaces, Russian Journal of Mathematical Physics, Vol. 20, No. 3, 2013, pp. 268–275. Hörmander, L. The Analysis of Linear Partial Differential Operators II, Springer-Verlag, Berlin–New York, 1983.