Representation Formulas for Hardy Space Functions Through the Cuntz Relations and New Interpolation Problems Academic Article uri icon

abstract

  • We introduce connections between the Cuntz relations and the Hardy space H 2 of the open unit disk \(\mathbb{D}\). We then use them to solve a new kind of multipoint interpolation problem in H 2, where, for instance, only a linear combination of the values of a function at given points is preassigned, rather than the values at the points themselves.

publication date

  • January 1, 2013