| Popis: |
Let Γ be an H-group. In 1974 Marvin Knopp conjectured that the Eichler cohomology group, with base space taken to be the set of all functions holomorphic in the upper half-plane, of polynomial growth at the real line (including oo), and with a weight k,multiplier system v linear fractional action of r, is isomorphic to the space of cusp forms on r of weight 2 — κ and multiplier system D, in the range 0 < κ < 2. In this article the authors prove the conjecture by making essential use of Hans Petersson's "principal parts condition" for automorphic forms (1955). |
