The Journal of the Indian Mathematical Society

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Pseudo-Differential Operators of Homogeneous Symbol Associated with n-Dimensional Hankel Transformation


Affiliations
1 DST-CIMS and Department of Mathematics Science, IIT (BHU), Varanasi, India
2 DST-CIMS, Institute of Science, Banaras Hindu University, Varanasi, India
     

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The characterizations of pseudo-differential operators L(x,D) and H(x,D) associated with the homogeneous symbol l(x; ξ), involving Hankel transformation are investigated by using the theory of n-dimensional Hankel transform.

Keywords

Hankel Transform, Pseudo-Differential Operators, Sobolev Space.
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  • Pseudo-Differential Operators of Homogeneous Symbol Associated with n-Dimensional Hankel Transformation

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Authors

S. K. Upadhyay
DST-CIMS and Department of Mathematics Science, IIT (BHU), Varanasi, India
Manmohan Singh Chauhan
DST-CIMS, Institute of Science, Banaras Hindu University, Varanasi, India

Abstract


The characterizations of pseudo-differential operators L(x,D) and H(x,D) associated with the homogeneous symbol l(x; ξ), involving Hankel transformation are investigated by using the theory of n-dimensional Hankel transform.

Keywords


Hankel Transform, Pseudo-Differential Operators, Sobolev Space.

References