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Mathematische Zeitschrift : Volume 286

Mathematische Zeitschrift : Volume 285

Mathematische Zeitschrift : Volume 284

Mathematische Zeitschrift : Volume 284, Issue 3-4, December 2016

Rigid and Schurian modules over cluster-tilted algebras of tame type

Loci of curves with subcanonical points in low genus

Imaginary cones and limit roots of infinite Coxeter groups

A continuous model for quasinilpotent operators

Riesz transforms through reverse Hölder and Poincaré inequalities

On a secant Dirichlet series and Eichler integrals of Eisenstein series

On (2, 4) complete intersection threefolds that contain an Enriques surface

Spectral analysis of the diffusion operator with random jumps from the boundary

Vahlen groups defined over commutative rings

Polynomial inequalities and universal Taylor series

Asymptotic rank of spaces with bicombings

Scaling of conformal blocks and generalized theta functions over $$\overline{\mathcal {M}}_{g,n}$$

Type A images of Galois representations and maximality

Nonintegrability of Hamiltonian system perturbed from integrable system with two singular points

Convergence of the solutions of the discounted equation: the discrete case

Large $${\varvec{p}}^{\prime }$$ -orbits for $${\varvec{p}}$$ -nilpotent linear groups

Slow escaping points of quasiregular mappings

The geometry of Euclidean surfaces with conical singularities

Holomorphic differentials and Laguerre deformation of surfaces

Spectral synthesis for coadjoint orbits of nilpotent Lie groups

Free group representations from vector-valued multiplicative functions, II

On $$L^\infty $$ -BMO estimates for derivatives of the Stokes semigroup

Generic boundary behaviour of Taylor series in Hardy and Bergman spaces

A trace formula for non-unitary representations of a uniform lattice

On $$A_p$$ – $$A_\infty $$ type estimates for square functions

Gevrey smooth topology is proper to detect normalization under Siegel type small divisor conditions

Küchle fivefolds of type c5

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Spectral analysis of the diffusion operator with random jumps from the boundary

Content Provider	Springer Nature Link
Author	Kolb, Martin Krejčiřík, David
Copyright Year	2016
Abstract	Using an operator-theoretic framework in a Hilbert-space setting, we perform a detailed spectral analysis of the one-dimensional Laplacian in a bounded interval, subject to specific non-self-adjoint connected boundary conditions modelling a random jump from the boundary to a point inside the interval. In accordance with previous works, we find that all the eigenvalues are real. As the new results, we derive and analyse the adjoint operator, determine the geometric and algebraic multiplicities of the eigenvalues, write down formulae for the eigenfunctions together with the generalised eigenfunctions and study their basis properties. It turns out that the latter heavily depend on whether the distance of the interior point to the centre of the interval divided by the length of the interval is rational or irrational. Finally, we find a closed formula for the metric operator that provides a similarity transform of the problem to a self-adjoint operator.
Starting Page	877
Ending Page	900
Page Count	24
File Format	PDF
ISSN	00255874
Journal	Mathematische Zeitschrift
Volume Number	284
Issue Number	3-4
e-ISSN	14321823
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2016-05-13
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Spectral analysis of the diffusion operator with random jumps from the boundary

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An algorithm for reconstructing the Dirac operator with a spectral parameter in the boundary condition

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Spectral analysis of the diffusion operator with random jumps from the boundary

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Correction to: Spectral analysis of the diffusion operator with random jumps from the boundary

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Multiplicities of Eigenvalues of the Diffusion Operator with Random Jumps from the Boundary

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