kimberling56. 135KB Jun 04 2011 12:06:49 AM
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In Theorem 4 below we prove that the space of shifted singular polynomials is isomorphic to that of singular polynomials as C S n -modules, and it has a basis consisting of
(1) There seems to be a general principle that if an existence result about polynomials or n -tuples of polynomials over an infinite field can be proved by dimension counting, then
Associated to a square matrix all of whose entries are real Laurent polynomials in several variables with no negative coefficients is an ordered “dimension” module introduced by
In the next theorem, we show constructively that the equation (2.1) has non-trivial solutions for a large groupof two by two matrices A (over the real numbers)..
SAS ∗ with some invertible bounded linear or conjugate-linear operator S on H pre- serves Lebesgue decompositions in both directions, we see that the transformation in (2.5) is
A real matrix with nonnegative entries and having a largest eigenvalue of multiplicity just one has a strictly positive left eigenvector (see the Appendix) if and only if there
Heuristically, Theorem 1 can be interpreted as saying that, for a large number of high-dimensional data vectors, as long as they have nearly the same lengths and are nearly
Keywords: Total variation distance; Non-central limit theorem; Fractional Brownian motion; Hermite power variation; Multiple stochastic integrals; Hermite random
