... equal to( n∏ j=1 (z − ζj)mj ) H2 ∔ ∨{ vℓj(z) : 0 6 ℓ 6 mj − 1, 1 6 j 6 n } , where the sum is no longer necessarily orthogonal. 4 FRICAIN, HARTMANN, AND ROSS It was shown in [2], and rediscovered in =-=[1]-=-, that H (q) = ( n∏ j=1 (z − ζj)mj ) H2 ∔PN−1,(1.6) where N = ∑n j=1mj , PN−1 is the N -dimensional vector space of polynomials of degree at most N − 1, and the sum is an algebraic direct sum (not nec...