Generalizations of 2D-Canonical Sine-Sine Transform

S.B.Chavhan

Authors

S.B.Chavhan

2D canonical sine-sine transform, testing function space, generalized functions, fourier transform

Abstract

Integral transform, fractional integral transform is a flourishing filed of active research due to its wide range of application. Fourier transform, fractional Fourier transform is probably the most intensively studied among all fractional transforms, similarly 2D canonical sine-sine transforms, and 2D canonical cosine-cosine is a powerful mathematical tool for processing images. In this paper the canonical 2D sine-sine transform is define in generalized sense. And various testing functions spaces defined by using Gelfand-shilov technique. Also uniqueness theorem, modulation theorems are proved.

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How to Cite

Generalizations of 2D-Canonical Sine-Sine Transform. (2013). Global Journal of Science Frontier Research, 13(12), 7-13. https://journalofscience.org/index.php/GJSFR/article/view/

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Author Biography

S.B.Chavhan

S.B.Chavhan is a researcher affiliated with Yeshwant College in Nanded, Maharashtra, India, and associated with Swami Ramanand Teerth Marathwada University. His work spans the fields of canonical transforms and genetic algorithms, with publications including 'Generalizations of 2d-Canonical Sine-Sine Transform', 'Some Properties and Applications of Generalized Canonical Transform', and 'Local Crossover A New Genetic Operator for Grammatical Evolution'. He has authored two papers and continues to contribute to mathematical and computational research.

References

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