arXiv Open Access 2009

Spectral theory of discontinuous functions of self-adjoint operators: essential spectrum

Alexander Pushnitski

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Abstrak

Let $H_0$ and $H$ be self-adjoint operators in a Hilbert space. In the scattering theory framework, we describe the essential spectrum of the difference $\varphi(H)-\varphi(H_0)$ for piecewise continuous functions $\varphi$. This description involves the scattering matrix for the pair $H$, $H_0$.

Topik & Kata Kunci

math.SP math.FA

Penulis (1)

Alexander Pushnitski

Format Sitasi

APA MLA BibTeX

Pushnitski, A. (2009). Spectral theory of discontinuous functions of self-adjoint operators: essential spectrum. https://arxiv.org/abs/0907.3370

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓