In Koenigs' footsteps: Diagonalization of composition operators
نویسندگان
چکیده
منابع مشابه
Diagonalization of Homogeneous Linear Operators in Biorthogonal Wavelet Bases
We show how it is possible to diagonalize a certain class of homogeneous linear operators in a biorthogonal wavelet basis. Given a linear operator and a biorthogonal wavelet basis we construct a new biorthog-onal wavelet basis such that by analyzing a function in the new basis and multiplying the wavelet coeecients by a scale dependent factor we get the wavelet coeecients of the transformed fun...
متن کاملComposition Operators and Multiplication Operators on Orlicz Spaces
This article has no abstract.
متن کاملOn reducibility of weighted composition operators
In this paper, we study two types of the reducing subspaces for the weighted composition operator $W: frightarrow ucdot fcirc varphi$ on $L^2(Sigma)$. A necessary and sufficient condition is given for $W$ to possess the reducing subspaces of the form $L^2(Sigma_B)$ where $Bin Sigma_{sigma(u)}$. Moreover, we pose some necessary and some sufficient conditions under which the subspaces of the form...
متن کاملSpectra of Some Composition Operators and Associated Weighted Composition Operators
We characterize the spectrum and essential spectrum of “essentially linear fractional” composition operators acting on the Hardy space H2(U) of the open unit disc U. When the symbols of these composition operators have Denjoy-Wolff point on the unit circle, the spectrum and essential spectrum coincide. Our work permits us to describe the spectrum and essential spectrum of certain associated wei...
متن کاملBanach Algebras of Pseudodifferential Operators and Their Almost Diagonalization
We define new symbol classes for pseudodifferential operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algebras. To every solid convolution algebraA over a lattice Λ we associate a symbol class M. Then every operator with a symbol in M is almost diagonal with respect to special wave packets (coherent states or Gabor frames...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2020
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2019.108313