Let A = (A₁,...,An) and B = (B₁,...,Bn) be row contractions on Hilbert spaces 𝓗₁ and 𝓗₂, respectively, and L be a contraction from D B = ran ¯ D B to D A * = ran ¯ D A * where DB = (I – B*B)1/2 and ...

Journal of Operator Theory, Vol. 65, No. 1 (Winter 2011), pp. 17-45 (29 pages) We introduce characteristic functions for certain contractive liftings of row contractions. These are multi-analytic ...

This paper extends and refines the method of option pricing by frame projection of riskneutral densities to incorporate general basis splines (B-splines), including the cubic basis, and general payoff ...