Inverse Spectral Problem for Analytic Domains I: Balian-Bloch Trace Formula
نویسندگان
چکیده
منابع مشابه
Inverse Spectral Problem for Analytic Plane Domains I: Balian-bloch Trace Formula
This is the first in a series of papers [Z3, Z4, Z5, Z6, Z7] on inverse spectral/resonance problems for analytic plane domains Ω. In this paper, we present a rigorous version of the Balian-Bloch trace formula [BB1, BB2]. It is an asymptotic formula for the trace TrRρ(k + iτ) of the regularized resolvent of the Dirichlet Laplacian of Ω as k → ∞ with τ > 0 held fixed. When the support of ρ̂ contai...
متن کاملInverse Spectral Problem for Analytic Domains I: Balian-bloch Trace Formula
This is the first in a series of papers [Z3, Z4] on inverse spectral/resonance problems for analytic plane domains Ω. In this paper, we present a rigorous version of the Balian-Bloch trace formula [BB1, BB2]. It is an asymptotic formula for the trace Tr1ΩRρ(k + iτ log k) of the regularized resolvent of the Dirichlet Laplacian of Ω as k → ∞ with τ > 0. When the support of ρ̂ contains the length L...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2004
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-004-1074-y