Borel summability and distribution
- 1 September 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (9) , 1920-1927
- https://doi.org/10.1063/1.522743
Abstract
This paper concerns the Borel summability of series expansions Σ∞0 fn ψn(x) =B f (x), where the polynomials ψn(x) defined on the interval I of the real line, are orthogonal in some space L2(I) and we look for conditions on fn such that f (x) is a distribution. As an application, a long standing ambiguity in the quantum theory of Coulomb scattering is solved.Keywords
This publication has 1 reference indexed in Scilit:
- On the Divergence of the Rutherford Scattering Amplitude in Terms of Coulomb Phase ShiftsAmerican Journal of Physics, 1972