Complex powers of vector valued operators and their application to asymptotic behavior of eigenvalues

DOI10.1016/0022-1236(89)90012-8zbMath0697.47011OpenAlexW2051235694MaRDI QIDQ911005

Junichi Aramaki

Publication date: 1989

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90012-8

zbMATH Keywords

eigenvaluestraceasymptotic behaviourdifferential operatorscounting functionfirst singularity of the meromorphic extensionIkehara Tauberian theorem

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) General theory of partial differential operators (47F05) Tauberian theorems (40E05)

Related Items (3)

An extension of the Ikehara Tauberian theorem and its application ⋮ On the spectral zeta function of second order semiregular non-commutative harmonic oscillators ⋮ SPECTRAL ZETA FUNCTIONS FOR THE QUANTUM RABI MODELS

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