A Class of Integral Operators and Bessel Plancherel Transform on

M. Dziri
2012 Journal of Function Spaces and Applications  
For the relation between Bessel Plancherel transform and a wide class of integral operators we establish some results generalizing the corresponding results for the cosine transform, given by Goldberg (1972) and Titchmarsh (1937). Building on these results we obtain a new properties of certain well-known integral transforms associated with the eigenfunction of the Bessel differential operator defined on (0, ∞) by , . We also construct a class of integral operators which commute with Bessel Plancherel transform.
doi:10.1155/2012/419578 fatcat:4jof7bb7zjda3eyhms36yppud4