arXiv Open Access 2006

Eigenfunction expansions associated with 1d periodic differential operators of order $2n$

V. Tkachenko

Lihat Sumber

Abstrak

We prove an explicit formula for the spectral expansions in $L^2(\R)$ generated by selfadjoint differential operators $$ (-1)^n\frac{d^{2n}}{dx^{2n}}+\sum\limits_{j=0}^{n-1}\frac{d^{j}}{dx^{j}} p_j(x)\frac{d^{j}}{dx^{j}},\quad p_j(x+π)=p_j(x),\quad x\in\R. $$

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Penulis (1)

V. Tkachenko

Format Sitasi

APA MLA BibTeX

Tkachenko, V. (2006). Eigenfunction expansions associated with 1d periodic differential operators of order $2n$. https://arxiv.org/abs/math/0606339

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2006
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓