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Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
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The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to: Random dynamical systems Geometry and physics Dynamical systems with hyperbolic behaviour Real and complex geometry Ergodic theory Distance geometry Topological dynamics Global differential geometry Infinite-dimensional Hamiltonian systems Symplectic geometry, contact geometry The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.

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Open Access Research Article

Canonical cosine transform and their optimistic results

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pp. 153–161Vol. 21Issue 2November 2023DOI: 10.47974/JDSGT-21-2-P12XML
Published Online:
28 Nov 2023
Article type:
Research Article
Language:
EN
Article no.:
JDSGT-21-2-P12
Pages:
153–161

Abstract

This paper is concerned with the different properties of Canonical Cosine transform. Such as linearity, Time Reverse, Shifting Property, differentiation, parity, Modulation theorem is also proved. Some important result regarding with the Kernel of canonical cosine transform is also proved

Keywords

Subject Classifications

42A38

References

[1] Almeida L.B., An introduction to the angular fourier transorm, IEEE, 257-260.(1993).[2] Almeida L.B., The fractional fourier transform and time frequency representation IEEE trans.on signal processing Vol. 42, No. 11 Nov. (1994).[3] Bhosale B.N.and Choudhary M.S., Fractional fourier transform of distribution of compact support, Bull. Cal. Math. Soc., Vol. 94, No. 5, 349-38, (2002).[4] Moshinky M.Quesne, Linear canonical transform and their unitary representation,. Math. Phy., Vol. 12. (No), 1772-1783,(1971).[5] Namias V, The fractional order fourier transform and its applications in quantum mechanics, I. Inst. Maths. appli., 25, 241-265. (1980).[6] Ozaktas H.M.and Medlovic, Fractional fourier transform and their Optical Implimentations II, JOSA A, Vol. 10, No. 12, 1885-1891, (1993).[7] Peis,Ding J., Eigen function of linear canonical transform, IEEE, trans. sign. proc. Vol. 50, No.1, Jan. (2002)[8] Peis,Ding J., Fractional cosine,sine and Hartley transform,trans.on signal processing, Vol. 50, No. 7, P. 1661-1680, Pub. (2002).[9] S. B.Chavhan, Canonical cosine transform Novel Stools in Siganl processing,International Journal of Engineering Research and General Science Volume 2, Issue 5, Augest-September, 2014. p 232-239.[10] S.B.Chavhan,V.C.Borkar, Some results of half Canonical Cosine and Sine Transform,IOSR Journal of Engineering May. 2012, Vol. 2(5) pp : 1111-1114.[11] S.B.Chavhan, Modulation of Generalized Canonical CS-Transform, IJARCET Volume 1, Issue 9. November 2012. p 123-127.[12] S.B.Chavhan, Properties of Canonical-Laplace transform, IJRAR Volume 6 Issue 1 January 2019p.297-300.[13] Torre A, Linear and radial canonical transform of fractional order,J computational and applied Mathematics, Vol. 153, 477-486, (2003).[14] Zayed A, A convolution and product theorem for the fractional fourier transform, IEEE sign. proc. letters Vol. 5, No. 4, 101-103, (1998)[15] Zemanian A.H., Distrubution theory and transform analysis, McGraaw Hill, New York, (1965).[16] Zemanian A.H., Integral Transform,Inter Science Publishers New York, (1968).
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