Search Results - "Davies, E.B"

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    Pluralism in mathematics by Davies, E.B

    “…We defend pluralism in mathematics, and in particular Errett Bishop's constructive approach to mathematics, on pragmatic grounds, avoiding the philosophical…”
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    Journal Article
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    Spectral properties of random non-self-adjoint matrices and operators by Davies, E.B

    “…I describe some numerical experiments which determine the degree of spectral instability of medium‐sized randomly generated matrices which are far from…”
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    Journal Article
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    AN INVERSE SPECTRAL THEOREM by DAVIES, E.B.

    Published in Journal of operator theory (2013)
    “…We prove a substantial extension of an inverse spectral theorem of Ambarzumyan, and show that it can be applied to arbitrary compact Riemannian manifolds,…”
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    Journal Article
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    Spectra of a class of non-self-adjoint matrices by Davies, E.B., Levitin, Michael

    Published in Linear algebra and its applications (01-05-2014)
    “…We consider a new class of non-self-adjoint matrices that arise from an indefinite self-adjoint linear pencil of matrices, and obtain the spectral asymptotics…”
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    Journal Article
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    Decomposing the essential spectrum by Davies, E.B.

    Published in Journal of functional analysis (15-07-2009)
    “…We use C * -algebra theory to provide a new method of decomposing the essential spectra of self-adjoint and non-self-adjoint Schrödinger operators in one or…”
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    Journal Article
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    Perturbations of Jordan matrices by Davies, E.B., Hager, Mildred

    Published in Journal of approximation theory (2009)
    “…We consider perturbations of a large Jordan matrix, either random and small in norm or of small rank. In the case of random perturbations we obtain explicit…”
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    Journal Article
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    Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle by Davies, E.B., Simon, B.

    Published in Journal of approximation theory (01-08-2006)
    “…We prove that for any n × n matrix, A , and z with | z | ⩾ ∥ A ∥ , we have that ∥ ( z - A ) - 1 ∥ ⩽ cot ( π 4 n ) dist ( z , spec ( A ) ) - 1 . We apply this…”
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    Journal Article
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    C-ALGEBRAS ASSOCIATED WITH SOME SECOND ORDER DIFFERENTIAL OPERATORS by DAVIES, E.B., GEORGESCU, V.

    Published in Journal of operator theory (2013)
    “…We compare two C*-algebras that have been used to study the essential spectrum. This is done by considering a simple second order elliptic differential…”
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    Journal Article
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    Spectral stability of the Neumann Laplacian by Burenkov, V.I., Davies, E.B.

    Published in Journal of Differential Equations (10-12-2002)
    “…We prove the equivalence of Hardy- and Sobolev-type inequalities, certain uniform bounds on the heat kernel and some spectral regularity properties of the…”
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    Journal Article
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    Schrödinger operators with slowly decaying potentials by Davies, E.B., Nath, Jiban

    “…Several recent papers have obtained bounds on the distribution of eigenvalues of non-self-adjoint Schrödinger operators and resonances of self-adjoint…”
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    Journal Article Conference Proceeding
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    Semi-classical analysis and pseudo-spectra by Davies, E.B.

    Published in Journal of Differential Equations (01-09-2005)
    “…We prove an approximate spectral theorem for non-self-adjoint operators and investigate its applications to second-order differential operators in the…”
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    Journal Article
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    SEMIGROUP GROWTH BOUNDS by DAVIES, E.B.

    Published in Journal of operator theory (01-03-2005)
    “…We use the Legendre transform to find a relationship between the norms of a one-parameter semigroup and those of its resolvent operators. The theorems are…”
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    Journal Article
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