Plemelj's solution of the Riemann-Hilbert problem
Solución de Plemelj al problema de Riemann-Hilbert
- Date
- 1908 · confidence high
- Place
- Chernivtsi (Czernowitz), Ukraine
- Credited to
- Josip Plemelj
- Field
- Knowledge & symbols
⚠️ Disputed: the sources disagree.
What was discovered
In 1908 Plemelj published a construction that claimed to solve Hilbert's 21st problem on differential equations with a prescribed monodromy group. He also introduced the Plemelj-Sokhotski formulae.
In 1989 Andrey Bolibrukh gave a counterexample and showed that Plemelj's solution held only for irreducible regular singularities. Plemelj worked in Czernowitz from 1908; he was born in Bled (Slovenia).
What it led to
- monodromy theory and Riemann-Hilbert problems
- analysis of singular integral equations