arXiv
Open Access
2019
The spectral density of Hankel operators with piecewise continuous symbols
Emilio Fedele
Abstrak
In 1966, H. Widom proved an asymptotic formula for the distribution of eigenvalues of the $N\times N$ truncated Hilbert matrix for large values of $N$. In this paper, we extend this formula to Hankel matrices with symbols in the class of piece-wise continuous functions on the unit circle. Furthermore, we show that the distribution of the eigenvalues is independent of the choice of truncation (e.g. square or triangular truncation).
Topik & Kata Kunci
Penulis (1)
E
Emilio Fedele
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2019
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