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math.FA2009
Agler interpolation families of kernels
Michael Jury, Greg Knese, Scott McCullough
An abstract Pick interpolation theorem for a family of positive semi-definite kernels on a set is formulated. The result complements those in \cite{Ag} and \cite{AMbook} and wi…
math.FA2009
Classification of All Noncommutative Polynomials Whose Hessian Has Negative Signature One and A Noncommutative Second Fundamental Form
Harry Dym, Jeremy M. Greene, J. William Helton +1
Every symmetric polynomial p(x)=p(x_1,...,x_g) (with real coefficients) in g noncommuting variables x_1, ..., x_g can be written as a sum and difference of squares of noncommutativ…