On Hankel and Mellin transforms
β Scribed by Mullineux, N.; Reed, J.R.
- Book ID
- 120940060
- Publisher
- Taylor and Francis Group
- Year
- 1978
- Tongue
- English
- Weight
- 288 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0020-739X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We show that the Mellin transform on any binary field can be extended to a bounded linear isometry on L 2 . We also obtain an explicit formula for the corresponding inverse Mellin transform and prove that inversion holds when the Mellin transform is integrable.
The finite and infinite harmonic sums form the general basis for the Mellin transforms of all individual functions fi(x) describing inclusive quantities such as coefficient and splitting functions which emerge in massless field theories. We discuss the mathematical structure of these quantities.