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Quantum Physics, Optics and
Laser Technologies
Volume 5
Journal of Lasers, Optics & Photonics
Physicists Congress 2018
May 09-10, 2018
Page 24
Notes:
conference
series
.com
May 09-10, 2018 Tokyo, Japan
International Conference on
The generalized Hankel-Clifford and extended generalized Hankel-Clifford transforms with compact
support on certain range
T
he 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 section of the study.
Biography
V R Lakshmi Gorty is presently working as a Professor of 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) and fractional transforms and generalizations. 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, 2017. 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.
vr.lakshmigorty@nmims.eduV R Lakshmi Gorty
SVKM’s Narsee Monjee Institute of Management Studies, India
Mukesh Patel School of Technology Management & Engineering, India
V R Lakshmi Gorty, J Laser Opt Photonics 2018, Volume 5
DOI: 10.4172/2469-410X-C1-020