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Pseudo-Differential Operators Involving Hankel Transforms

✍ Scribed by R.S. Pathak; S.K. Upadhyay

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
220 KB
Volume
213
Category
Article
ISSN
0022-247X

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✦ Synopsis

Pseudo-differential operators L x, D and H x, D associated with the Bessel operator S are defined. Symbol-classes are introduced. Product and commutators for the pseudo-differential operators are investigated.

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By comparing the Laplace transform L L with the differential operator D, we y1 Ε½ . y1 Ε½ . obtain a formula for the inverse Laplace transform L L s 1r V cos D VL L , where V is a unitary transformation operator. This helps us obtain an explicit spectral representation of L L. Some applications of the