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V R Lakshmi Gorty

V R Lakshmi Gorty

1SVKM’s Narsee Monjee Institute of Management Studies, India 2Mukesh Patel School of Technology Management & Engineering, India

Title: The generalized Hankel-Clifford and extended generalized Hankel-Clifford transforms with compact support on certain range

Biography

Presently working as Professor in Mathematics, Basic Sciences and Humanities, SVKM’s NMIMS, MPSTME, Mumbai, India. Her research interests are: Integral transforms and operational calculus (AMS classification: 44, 42), Wavelet Transforms (33C05), Functional Analysis Generalized functions (distributions): (AMS-classification: 46 F12), Mixed Radix System, Transforms to Kekre’s function, Discrete transforms, Interdisciplinary Research, Fractional Calculus and generalizations (AMS classification: 26, 26A33), Fractional Transforms and generalizations. She looks forward to work in challenging projects and to achieve them in multidisciplinary dimensions.

She is recipient of Bharat Jyoti Award, Certificate of Excellence awarded by India International Friendship Society, Outstanding Scientist Award in December 2015 and Best Scientist/ Researcher Award, by IMRF Academic Excellence Award, March 30th 2017. A research project “A generalized Fractional calculus and its applications”, completed under Government of India, National Board for Higher Mathematics, Department of Atomic Energy. She is also been sanctioned for in-house research project from SVKM’s NMIMS University topic: “Recent advances in integral transforms to Engineering and its applications”.

She has so far published more than 85 papers in national, international journals and conferences. She has attended 42 seminars and workshops. She is life member of many professional bodies like IAIAM, ISTE, INS, SSFA, IMS and Congress Member of IAENG. She is a peer member of editorial board and reviewer for many international journals.

 

Abstract

The Paley-Wiener theorem for the generalized Hankel-Clifford and extended generalized Hankel-Clifford transforms is obtained. The generalized Hankel-Clifford and extended generalized Hankel-Clifford transforms of square integrable functions with compact supports, rapid decreasing functions, infinitely differentiable functions with compact supports, of analytic functions are studied. The range of the generalized Hankel -Clifford and extended generalized Hankel-Clifford transform of compactly supported functions which are either square integrable (Paley-Wiener Theorem) or infinitely differentiable (Paley -Wiener -Schwartz Theorem) is characterized. Such developed transforms are supported by an application to Mathematical Physics at the end of the section of the study.