Multidimensional Baker-Akhiezer Functions and Huygens ’ Principle

  title={Multidimensional Baker-Akhiezer Functions and Huygens ’ Principle},
  author={O. A. Chalykh and M. V. Feigin and Alexander Petrovich Veselov},
A notion of rational Baker-Akhiezer (BA) function related to a configuration of hyperplanes in C is introduced. It is proved that BA function exists only for very special configurations (locus configurations), which satisfy certain overdetermined algebraic system. The BA functions satisfy some algebraically integrable Schrödinger equations, so any locus configuration determines such an equation. Some results towards the classification of all locus configurations are presented. This theory is… CONTINUE READING