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By introducing two fractional convolutions, we obtain the convolution theorems for fractional Fourier cosine and sine transforms. Applying these convolutions, we construct two Boehmian spaces and then we extend the fractional Fourier cosine and sine transforms from these Boehmian spaces into another Boehmian space with desired properties.
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참고문헌 (29)
참고문헌 신청
L. Akila / 2014 / A natural convolution of quaternion valued functions and its applications / Appl. Math. Comput 242:633~642
T. Alieva / 2003 / Fractional cosine and sine transform in relation to the fractional Fourier and Hartley transforms / Proceedings of the Seventh International Symposium on Signal Processing and its Applications Paris 1:561~564
C. Arteaga / 2012 / The Hankel transform of tempered boehmians via the ex-change property / Appl. Math. Comput 219(3):810~818
P. J. Miana / 2005 / Convolutions, Fourier trigonometric transforms and applications / Integral Transforms Spec. Funct 16(7):583~585
J. Mikusinski / 1981 / Quotients de suites et leurs applications dans l’anlyse fonctionnelle / C. R. Acad. Sci. Paris S´er. I Math 293(9):463~464
T. Alieva / 2003 / Fractional cosine and sine transform in relation to the fractional Fourier and Hartley transforms / Proceedings of the Seventh International Symposium on Signal Processing and its Applications Paris 1:561~564
C. Arteaga / 2012 / The Hankel transform of tempered boehmians via the ex-change property / Appl. Math. Comput 219(3):810~818
P. J. Miana / 2005 / Convolutions, Fourier trigonometric transforms and applications / Integral Transforms Spec. Funct 16(7):583~585
J. Mikusinski / 1981 / Quotients de suites et leurs applications dans l’anlyse fonctionnelle / C. R. Acad. Sci. Paris S´er. I Math 293(9):463~464
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