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The Index of the Complex Eigenvalues of a Parity Progressive Population Operator

โœ Scribed by Xue-Zhi Li; Geni Gupur; Yong-Jiang Yu; Guang-Tian Zhu


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
130 KB
Volume
268
Category
Article
ISSN
0022-247X

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โœฆ Synopsis


In this paper we discuss the index of the complex eigenvalue of a parity progressive population operator. Under certain conditions, we first prove that all the complex eigenvalues of this operator, except at most finitely many ones, are of index 1, and then, as an application of this result, we obtain the asymptotic expansion of


๐Ÿ“œ SIMILAR VOLUMES


A remark on the first eigenvalue of the
โœ Thomas Friedrich ๐Ÿ“‚ Article ๐Ÿ“… 1981 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 159 KB ๐Ÿ‘ 1 views

## By THOMAS FRIEDRICH of Berlin (Eingegangen am 9.9. 1980) Let M\* he a cony'act RIEMANNian spin inanifold with positive scalar curvature H and let R, denote its minimum. Consider the DIRAC operator D : r ( S ) + r ( S ) acting on sections of the associated spinor bundle S. If I.\* is the first p