Number of elements of orthogonal exponentials on generalized Sierpinski gasket
Liang Ju-hua · Journal of Heilongjiang Institute of Science and Technology · 2009
In order to study the problem of the number of the orthogonal exponential functions on the generalized Sierpinski gasket,the concept of self-affine measure is introduced.By the analysis of characterization of the zero set Z(M,D) of the Fourier transform M,D,it is proved that there exist at most 4 mutually orthogonal exponentials in L2(μM,D).The previous relevant results are improved and extended.