An algebraic perspective on multivariate tight wavelet frames

• Main Authors: Stöckler, Joachim., Charina, Maria., Putinar, Mihai., Scheiderer, Claus.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Subjects: DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/98752; http://hdl.handle.net/10220/17339
• Institution: Nanyang Technological University

Recent advances in real algebraic geometry and in the theory of polynomial optimization are applied to answer some open questions in the theory of multivariate tight wavelet frames whose generators have at least one vanishing moment. Namely, several equivalent formulations of the so-called Unitary E...