HANKEL TYPE TRANSFORMATION AND CONVOLUTION ON SPACES OF DISTRIBUTIONS WITH EXPONENTIAL GROWTH

B.B. Waphare, S. B. Gunjal

Abstract


In this paper we study Hankel type transformation on the spaces and defined. Further Hankel type Convolution on and is studied. We have given representation and characterization theorem for the elements of and on and respectively. Finally interchange formula and algebraic properties are discussed.
Keywords: Hankel type transformation, Hankel type Convolution, distribution, Bessel type operator.

2000 Mathematics Subject Classification: 46F12.

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