NONE 20260415115859827 wseas/wseas content-registration-form+ja@crossref.org content-registration-form PROOF 2944-9162 2732-9941 Ayşe Sandikçi Department of Mathematics Ondokuz Mayıs University Faculty of Science, 55200, Atakum, Samsun TURKEY The classical ambiguity function, an essential time-frequency analytic tool, was developed to examine the time-frequency properties of non-stationary signals. Key radar waveform characteristics, such as time-delay resolution, Doppler resolution, and Doppler-tolerance, can be accurately and efficiently analyzed using this function. This paper investigates the continuity properties of the linear canonical ambiguity function, which is a generalization of the classical ambiguity function based on the linear canonical transform. It is demonstrated that the linear canonical ambiguity function yields significant results regarding continuity within Besov spaces and weighted Besov spaces. Furthermore, this work explores the Besov and weighted Besov distances between two linear canonical ambiguity functions associated with different functionals and signals. 04 15 2026 04 15 2026 1 1 https://creativecommons.org/licenses/by/4.0/deed.en_US 10.37394/232020.2026.6.1 https://wseas.com/journals/proof/2026/a02proof-001(2026).pdf N. Wiener, Hermitian polynomials and Fourier analysis, Journal of Mathematics and Physics, Vol. 8, 1929, pp. 70–73. V. Namias, 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. S. C. Pei, J.J. Ding, Relations between fractional operations and time-frequency distributions and their applications, IEEE Trans. Signal Process, Vol. 49, No. 8, 2001, pp. 1638–1655. H. Zhao, Q-W. Ran, J. MA, L-Y Tan, Linear canonical ambiguity function and linear canonical transform moments, Optik, Vol. 122, No. 6, 2011, pp. 540–543. T. W Che, B. Z. Li, T. Z. Xu, The ambiguity function associated with the linear canonical transform, EURASIP Journal on Advances in Signal Processing, Vol. 2012, No.138, 2012. K. Gröchenig, Foundations of TimeFreuquency Analysis, Birkhauser, Boston, 2001. N. M. Chuong, D. V. Duong, Boundedness of the wavelet integral operator on weighted function spaces, Russian Journal of Mathematical Physics, Vol. 20, 2013, pp. 268– 275. Hörmander, L. The Analysis of Linear Partial Differential Operators II, Springer-Verlag, Berlin–New York, 1983. A. Sandıkçı, MSTFrFT on Some Function Spaces, WSEAS Transactions on Mathematics, Vol.24, 2025, 651-659. A. Sandıkçı, Characterization of Linear Canonical Ambiguity Function on Some Function Space, (to appear).