Complex powers of a class of pseudodifferential operators and their applications

DOI10.14492/HOKMJ/1381757775zbMath0548.35111OpenAlexW2023623963MaRDI QIDQ799875

Junichi Aramaki

Publication date: 1983

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381757775

zbMATH Keywords

complex powersparametricesasymptotic behavior of the eigenvaluesfirst singularityIkehara's Tauberian theoremsmooth compact manifold of finite dimension without boundary

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Pseudodifferential and Fourier integral operators on manifolds (58J40)

Related Items (3)

An extension of the Ikehara Tauberian theorem and its application ⋮ Complex powers of vector valued operators and their application to asymptotic behavior of eigenvalues ⋮ Zeta-determinants of Sturm-Liouville operators with quadratic potentials at infinity

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