arXiv Open Access 2012

An Alternate Proof of De Branges Theorem on Canonical Systems

Keshav Raj Acharya

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Abstrak

The aim of this paper is to show that, in the limit circle case, the defect index of a symmetric relation induced by canonical systems, is constant on C. This provides an alternative proof of the De Branges theorem that the canonical systems with tr H(x)=1 imply the limit point case. To this end, we discuss the spectral theory of a linear relation induced by a canonical system.

Topik & Kata Kunci

math.SP

Penulis (1)

Keshav Raj Acharya

Format Sitasi

APA MLA BibTeX

Acharya, K.R. (2012). An Alternate Proof of De Branges Theorem on Canonical Systems. https://arxiv.org/abs/1206.5550

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Informasi Jurnal

Tahun Terbit: 2012
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓