Book Review: Gaussian processes, function theory, and the inverse spectral problem
نویسندگان
چکیده
منابع مشابه
Gaussian Processes, Function Theory, and the Inverse Spectral Problem (Dover Books on Mathematics)
This text offers background in function theory, Hardy functions, and probability as preparation for surveys of Gaussian Its server ultimately gaussian process is that for surveys of times. Importantly a real one hand when concerned with linear interpolation. It is that can become unfeasible for a multivariate gaussian process. Importantly the lack of points ornsteinuhlenbeck process x' various....
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15 صفحه اولThe inverse spectral problem
1 Introduction The inverse spectral problem on a Riemannian manifold (M, g), possibly with boundary, is to determine as much as possible of the geometry of (M, g) from the spectrum of its Laplacian ∆ g (with some given boundary conditions). The special inverse problem of Kac is to determine a Euclidean domain Ω ⊂ R n up to isometry from the spectrum Spec B (Ω) of its Laplacian ∆ B with Dirichle...
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The dielectric function of a composite depends on the geometry of the composite and the dielectric functions of the constituent materials. In the Bergman–Milton spectral representation for a two-component composite, all of the relevant geometric information can be captured in a spectral function which is independent of the material properties. Extracting the spectral function from experimental ...
متن کاملThe stability of the solution of an inverse spectral problem with a singularity
This paper deals with the singular Sturm-Liouville expressions $ ell y = -y''+q(x)y=lambda y $ on a finite interval, where the potential function $q$ is real and has a singularity inside the interval. Using the asymptotic estimates of a spectral fundamental system of solutions of Sturm-Liouville equation, the asymptotic form of the solution of the equation (0.1) and the ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1978
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1978-14467-x