Bonnaillie-Noël, Virginie; Hérau, Frédéric; Raymond, Nicolas Holomorphic extension of the de Gennes function. (English) Zbl 1381.81047 Ann. Math. Blaise Pascal 24, No. 2, 225-234 (2017). Summary: This note is devoted to prove that the de Gennes function has a holomorphic extension on a half strip containing \(\mathbb R_+\). Cited in 1 Document MSC: 81Q15 Perturbation theories for operators and differential equations in quantum theory 32A10 Holomorphic functions of several complex variables Keywords:de Gennes operator; holomorphic extension; holomorphic perturbation theory PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Ann. Math. Blaise Pascal 24, No. 2, 225--234 (2017; Zbl 1381.81047) Full Text: DOI arXiv References: [1] Bonnaillie-Noël, Virginie; Hérau, Frédéric; Raymond, Nicolas, Magnetic WKB constructions, Arch. Ration. Mech. Anal., 221, 2, 817-891 (2016) · Zbl 1338.35379 · doi:10.1007/s00205-016-0987-x [2] Dauge, Monique; Helffer, Bernard, Eigenvalues variation. I. Neumann problem for Sturm-Liouville operators, J. Differ. Equations, 104, 2, 243-262 (1993) · Zbl 0784.34021 · doi:10.1006/jdeq.1993.1071 [3] Fournais, Søren; Helffer, Bernard, Spectral methods in surface superconductivity, 77, xx+324 p. pp. (2010), Birkhäuser: Birkhäuser, Boston, MA · Zbl 1256.35001 [4] Helffer, Bernard, Spectral theory and its applications, 139, vi+255 p. pp. (2013), Cambridge University Press, Cambridge · Zbl 1279.47002 [5] Hislop, Peter D.; Sigal, Israel Michael, Introduction to spectral theory, 113, x+337 p. pp. (1996), Springer · Zbl 0855.47002 · doi:10.1007/978-1-4612-0741-2 [6] Kato, Tosio, Perturbation theory for linear operators, 132, xix+592 p. pp. (1966), Springer · Zbl 0148.12601 [7] Popoff, Nicolas, Sur l’opérateur de Schrödinger magnétique dans un domaine diédral (2012) [8] Raymond, Nicolas, Bound States of the Magnetic Schrödinger Operator, 27, xiv+380 p. pp. (2017), European Mathematical Society · Zbl 1370.35004 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.