By Gitta Kutyniok
This quantity presents a radical and entire remedy of abnormal wavelet frames. It introduces and employs a brand new suggestion of affine density as a powerful instrument for studying the geometry of sequences of time-scale indices. assurance comprises non-existence of abnormal co-affine frames, the Nyquist phenomenon for wavelet platforms, and approximation homes of abnormal wavelet frames.
Read or Download Affine Density in Wavelet Analysis (Lecture Notes in Mathematics) PDF
Best functional analysis books
This monograph presents a radical, finished research of the slender topology on random chance measures on Polish areas. As a distinct function, the writer makes no extra assumptions at the chance house within the historical past, similar to completeness or a countable generated algebra. one of many major effects provided is a right away evidence of the random analog of the Prohorov theorem, that's got with no invoking an embedding of the Polish house right into a compact area.
This publication offers holomorphic operator capabilities of a unmarried variable and purposes, that are fascinated by the relatives among neighborhood and worldwide theories. it's according to equipment and technics of complicated research of numerous variables.
Almost immediately no different e-book bargains with the steadiness challenge of practical equations in Banach algebras, internal product areas and amenable teams. in addition, in such a lot balance theorems for sensible equations, the completeness of the objective area of the unknown capabilities inside the equation is believed.
The e-book provides an creation to the geometry of Hilbert areas and operator conception, focusing on graduate and senior undergraduate scholars of arithmetic. significant issues mentioned within the ebook are internal product areas, linear operators, spectral thought and distinctive periods of operators, and Banach areas.
- Recent Advances in Operator Theory and Operator Algebras
- Topics in Fixed Point Theory
- IV Hotine-Marussi Symposium on Mathematical Geodesy (International Association of Geodesy Symposia)
- I: Functional Analysis (Methods of Modern Mathematical Physics)
- Spaces of Continuous Functions (Atlantis Studies in Mathematics)
- Elliptic Theory and Noncommutative Geometry: Nonlocal Elliptic Operators: 183 (Operator Theory: Advances and Applications)
Extra resources for Affine Density in Wavelet Analysis (Lecture Notes in Mathematics)