Smoothness of Wavelet and Joint Spectral Radius

Journal of Mathematical Sciences

En, Tei¹ 

关键词: wavelets;    joint spectral radius;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

Foradilationequation$f(x)=sum_{k=0}^Nc_k,f(2x-k)$wherecoefficients${c_j}$satisfysuitableconditions,wecandefineafunction$α_{max}(c_0,ldots,c_N):=sup{α$;$f$isHöldercontinuouswithexponent$α}$asafunctionof${c_j}$onaset$C_X$whichisasubsetofan$(N-1)$-dimensionalspace$X$.Weprovethatthesetofdiscontinuouspointsof$α_{max}$isofmeasurezeroin$X$.Wealsoprovesomenewformulasconcerningthejointspectralradius.

【 授权许可】

Unknown