آمار

تعداد نشریات31
تعداد شماره‌ها453
تعداد مقالات4,025
تعداد مشاهده مقاله6,781,399
تعداد دریافت فایل اصل مقاله4,537,728
Khan, Dawood, Emadifar, Homan, Ahmed, Ali, Iqbal, Saleem, Tariq, Muhammad. (1403). Some algebraic and topological structures of Fourier transformable functions. سامانه مدیریت نشریات علمی, 5(1), 70-79. doi: 10.22098/jfga.2024.14270.1109
Dawood Khan; Homan Emadifar; Ali Ahmed; Saleem Iqbal; Muhammad Tariq. "Some algebraic and topological structures of Fourier transformable functions". سامانه مدیریت نشریات علمی, 5, 1, 1403, 70-79. doi: 10.22098/jfga.2024.14270.1109
Khan, Dawood, Emadifar, Homan, Ahmed, Ali, Iqbal, Saleem, Tariq, Muhammad. (1403). 'Some algebraic and topological structures of Fourier transformable functions', سامانه مدیریت نشریات علمی, 5(1), pp. 70-79. doi: 10.22098/jfga.2024.14270.1109
Khan, Dawood, Emadifar, Homan, Ahmed, Ali, Iqbal, Saleem, Tariq, Muhammad. Some algebraic and topological structures of Fourier transformable functions. سامانه مدیریت نشریات علمی, 1403; 5(1): 70-79. doi: 10.22098/jfga.2024.14270.1109

Some algebraic and topological structures of Fourier transformable functions

Journal of Finsler Geometry and its Applications
دوره 5، شماره 1، 2024، صفحه 70-79    اصل مقاله (295.49 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2024.14270.1109
نویسندگان
Dawood Khan1؛ Homan Emadifar* 2؛ Ali Ahmed1؛ Saleem Iqbal1؛ Muhammad Tariq3
1Department of Mathematics, University of Balochistan, Quetta, 87300, Pakistan
2Department of Mathematics, Hamedan Branch, Islamic Azad University,Hamedan, Iran
3Department of Baic Sciences, Mehran University of Engineering and Technology, Jamshoro, Pakistan
چکیده
In this work, the set of all functions that are Fourier transformable with regard to their structure both algebraic and topological is taken into account. Certain topological properties of the set of Fourier transformable functions with the help of a metric are described. Also determines the proofs of the statements that the set of all Fourier transformable functions is a commutative semi-group with respect to the convolution operation as well as Abelian group with respect to the operation of addition. Metric for two functions belonging to the set of all Fourier transformable functions is defined and the proof that the Fourier transformable functions space is complete with our metric is given. The separability theorem and that the Fourier transformable functions space is disconnected are also discussed.
کلیدواژه‌ها
Fourier transform؛ Fourier transformable functions؛ Metric space؛ Connected space
مراجع
  • 1. K. S. Chiu and T. Li, Oscillatory and periodic solutions of differential equations with
    piecewise constant generalized mixed arguments, Math. Nachr, 292(10) 2019, 2153-64.
  • 2. L. M. Upadhyaya, On the degenerate Fourier transform, Int. J. Eng. Sci. Res, 1(6) 2018,
    198-209.
  • 3. W .R. Abd AL-Hussein and R. M. Fawzi, Solving Fractional Damped Burgers’ Equation
    Approximately by Using The Sumudu Transform (ST) Method, Baghdad Sci. J., 18(1)
    2021,08-03.
  • 4. S. Aggarwal, A. R. Gupta, D. P. Singh, N. Asthana and N. Kumar, Application of
    Fourier transform for solving population growth and decay problems, IJLTEMAS, 7(9)
    2018, 141-5.
  • 5. M. A Murad, Influence of MHD on Some Oscillating Motions of a Fractional Burgers
    Fluid, Baghdad Sci .J., 12(1) 2015,12-22.
  • 6. T. A. Kim and D. S. Kim, Degenerate Fourier transform and degenerate gamma function,
    Russ. J. Math. Phys, 24(2)2017, 241-8.
  • 7. Y. Kim B. M Kim , L.C Jang and J. Kwon, A note on modified degenerate gamma and
    Fourier transformation, Symmetry,10 (10) 2018, 471.
  • 8. N. Kokulan and C.H. Lai, A Fourier transform method for the image in-painting, 12th
    International Symposium on Distributed Computing and Applications to Business, Engineering and Science, 2(2013), 243-246.
  • 9. M. K. Kaabar, F. Martnez, F. F. Gmez-Aguilar, B. Ghanbari and M. Kaplan,New
    approximate-analytical solutions for the nonlinear fractional Schr¨o dinger equation with
    second-order spatio-temporal dispersion via double Fourier transform method, arXiv
    preprint, 2(2013), 243-246.
  • 10. S. L. Nyeo and R. R, Ansari Sparse Bayesian learning for the Fourier transform inversion
    in dynamic light scattering, J. Comput. Appl. Math., 235(8) 2011, 2861-72.
  • 11. T. Li and G. Viglialoro, Analysis and explicit solvability of degenerate tensorial problems,
    Boundary Value Problems, (1)2018,1-3.
  • 12. T. Li and G. Viglialoro, Boundedness for a nonlocal reaction chemotaxis model even in
    the attraction- dominated regime, Differential and Integral Equations, 34(5/6) 2021,315-
    36.
  • 13. G. Viglialoro ,A. Gonzlez and J. Murcia, A mixed finite-element finite-difference method
    to solve the equilibrium equations of a prestressed membrane having boundary cables,
    International Journal of Computer Mathematics, 94(5) 2017, 933-45. 
آمار
تعداد مشاهده مقاله: 349
تعداد دریافت فایل اصل مقاله: 368


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب