An algebraic perspective on multivariate tight wavelet frames. II
نویسندگان
چکیده
منابع مشابه
An Algebraic Perspective on Multivariate Tight Wavelet Frames. II
Continuing our recent work in [5] we study polynomial masks of multivariate tight wavelet frames from two additional and complementary points of view: convexity and system theory. We consider such polynomial masks that are derived by means of the unitary extension principle from a single polynomial. We show that the set of such polynomials is convex and reveal its extremal points as polynomials...
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Recent results from real algebraic geometry and the theory of polynomial optimization are related in a new framework to the existence question of multivariate tight wavelet frames whose generators have at least one vanishing moment. Namely, several equivalent formulations of the so-called Unitary Extension Principle (UEP) from [33] are interpreted in terms of hermitian sums of squares of certai...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2015
ISSN: 1063-5203
DOI: 10.1016/j.acha.2014.09.003