arXiv Open Access 2017

Spectral asymptotics for a class of Toeplitz operators on the Bergman space

Alexander Pushnitski

Lihat Sumber

Abstrak

We consider a class of compact Toeplitz operators on the Bergman space on the unit disk. The symbols of operators in our class are assumed to have a sufficiently regular power-like behaviour near the boundary of the disk. We compute the asymptotics of singular values of this class of Toeplitz operators. We use this result to obtain the asymptotics of singular values for a class of banded matrices.

Topik & Kata Kunci

math.SP

Penulis (1)

Alexander Pushnitski

Format Sitasi

APA MLA BibTeX

Pushnitski, A. (2017). Spectral asymptotics for a class of Toeplitz operators on the Bergman space. https://arxiv.org/abs/1710.02652

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2017
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓