Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fourier bases and Fourier frames on self-affine measures   This paper gives a review of the recent progress in the study of Fourier
bases and Fourier frames on self-affine measures. In particular, we emphasize
the new matrix analysis approach for checking the completeness of a mutually
orthogonal set. This method helps us settle down a long-standing conjecture
that Hadamard triples generates self-affine spectral measures. It also gives us
non-trivial examples of fractal measures with Fourier frames. Furthermore, a
new avenue is open to investigate whether the Middle Third Cantor measure
admits Fourier frames.

14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom