An extension of the work of V. Guillemin on complex powers and zeta functions of elliptic pseudodifferential operators
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Publication:4257636
DOI10.1090/S0002-9939-99-04867-4zbMath0936.58011arXivdg-ga/9705006MaRDI QIDQ4257636
Publication date: 31 August 1999
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/dg-ga/9705006
General topics in linear spectral theory for PDEs (35P05) Pseudodifferential and Fourier integral operators on manifolds (58J40)
Related Items (14)
Complex Powers and Non-compact Manifolds ⋮ Homology of pseudodifferential operators on manifolds with fibered cusps ⋮ Analytic continuation of weighted Bergman kernels ⋮ The twisted Selberg trace formula and the twisted Selberg zeta function for compact orbifolds ⋮ Complex powers of differential operators on manifolds with conical singularities ⋮ Regularity of the eta function on manifolds with cusps ⋮ Weyl laws on open manifolds ⋮ Complex powers of classical SG-pseudodifferential operators ⋮ Toeplitz operators and weighted Bergman kernels ⋮ Cusp geometry and the cobordism invariance of the index ⋮ Unbounded pseudodifferential calculus on Lie groupoids ⋮ Mickelsson-Rajeev cocycle corresponding to dimension five ⋮ An index formula on manifolds with fibered cusp ends ⋮ On the adiabatic limit of the eta and zeta functions
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