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Showing 1 to 20 of 45 for “"Spectral theory"”.
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Spectral theory of linear operators
Abstract available p. i-iii
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Spectral Theory on Locally Convex Spaces
Made available in DSpace on 2014-12-09T22:17:32Z (GMT). No. of bitstreams: 1 6612398.pdf: 1880131 bytes, checksum: 04eccd779f74964874e50e2eea03e7c8 (MD5) Previous issue date: 1966
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Topics in spectral theory of differential operators /
This dissertation is devoted to two eigenvalue counting problems: Determining the asymptotic behavior of large eigenvalues of self-adjoint extensions of partial differential operators, and computing the number of negative eigenvalues for bounded from below operators with compact resolvents. In the …
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Topics in spectral and inverse spectral theory
… major classes of operators and provides various spectral and inverse spectral results for them. In the first part of this work a special class of one-dimensional discrete unitary operators is under investigation. The underlying Weyl-Titchmarsh theory and a Borg-type inverse spectral result are …
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Box approximation and related techniques in spectral theory
… is concerned with various aspects of the spectral theory of differential and pseudodifferential operators. It consists of two chapters. The first chapter presents a study of a family of spectral shift functions [xi]r, each associated with a pair of self-adjoint Schrödinger operators on a …
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Topics on the Spectral Theory of Automorphic Forms
We study the analytic properties of the Eisenstein Series of $frac {1}{2}$-integral weight associated with the Hecke congruence subgroup $Gamma_0(4)$. Using these properties we obtain asymptotics for sums of certain Dirichlet $L$-series. We also obtain a formula reducing the study of Selberg's …
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Some Aspects of Spectral Theory on Banach Spaces
Made available in DSpace on 2014-12-09T22:17:49Z (GMT). No. of bitstreams: 1 6910686.pdf: 2926898 bytes, checksum: 6e2990d62e9d92515bd24735c5527aec (MD5) Previous issue date: 1968
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Fourth order spectral theory and diffusion-driven instability
… asymptotic growth, cascading and phantom spectral lines. In Part II, we analyze diffusion-driven (Turing) instability of a reaction-diffusion system. The innovation is that we replace the traditional Laplacian diffusion operator with a combination of the fourth order bi-Laplacian operator …
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A Spectral Theory for A Class of Linear Operators
Made available in DSpace on 2014-12-05T21:50:21Z (GMT). No. of bitstreams: 1 6200637.pdf: 1839898 bytes, checksum: 33a9e184a088aedb0b786436764e2c9a (MD5) Previous issue date: 1961
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Aspects of spectral theory for algebras of measurable operators
The spectral theory for bounded normal operators on a Hilbert space and the various functional calculi for such operators is closely related to the representation theory of commutative C*- and von Neumann algebras as algebras of bounded continuous or measurable functions. For unbounded operators …
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Spectral Theory of the Atomic Dirac Operator in the No-Pair Formalism
Mit Hilfe einer unitaeren Transformation wird der Coulomb-Dirac-Operator eines Ions in einen pseudorelativistischen Operator uebergefuehrt, der zu beliebiger Ordnung n in der Potentialstaerke block-diagonal ist bezueglich der Projektionen auf den positiven bzw. negativen Spektralraum des freien …
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Spectral theory: minimizing Robin gaps, and singular limits for sign-changing weights
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms
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Spectral theory using linear systems and sampling from the spectrum of Hill's equation
This thesis, entitled Spectral Theory Using Linear Systems and Sampling from the Spectrum of Hill’s Equation is submitted by Caroline Brett, Master of Science for the degree of Doctor of Philosophy, September 2015. It uses linear systems to solve various problems connected with Hill’s equation, −f …
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Some classes of linear and nonlinear operators
… analysis, particularly in the field of Operator theory. The study begins with definitions of linear spaces and some topological results which form the necessary background.Chapter two is the heart of the work and deals with operators defined on a Hilbert space with mention of operators which are …
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Some classes of linear and nonlinear operators
… analysis, particularly in the field of Operator theory. The study begins with definitions of linear spaces and some topological results which form the necessary background.Chapter two is the heart of the work and deals with operators defined on a Hilbert space with mention of operators which are …
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Exponential Decay for the Saint-Venant Principle
… a C('3)-smooth boundary. By applying semigroup theory and spectral theory, we show that in our formulation Saint-Venant's principle is true for a class of stored energy functions of the type W = 1/2u('2) + Q(u(,,1),u(,,2)), where u is the displacement along the t-axis. By using the theory of …
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Spectra of Hypergraphs
<p>We present a spectral theory of uniform hypergraphs that closely parallels Spectral Graph Theory. A number of developments building upon classical work has led to a rich understanding of 'symmetric hyperdeterminants' of hypermatrices, a.k.a. multidimensional arrays. Symmetric hyperdeterminants …
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Diffraction by Parallel-Plates With Application to Lens Antennas
… scattered field, we apply the uniform asymptotic theory for the primary contribution, and the spectral theory for the first interaction.
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Scattering Techniques for the Geophysical Inverse Problem
… of shear waves is studied in the context of spectral theory. We generalize certain inverse scattering methods in quantum mechanics to determine the properties of the stratification from experimental knowledge gathered at the origin of the half-line. We further apply this method with some …
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Glazman-Krein-Naimark theory, left-definite theory, and the square of the Legendre polynomials differential operator.
As an application of a general left-definite spectral theory, Everitt, Littlejohn and Wellman, in 2002, developed the left-definite theory associated with the classical Legendre self-adjoint second-order differential operator A in L² (−1, 1) which has the Legendre polynomials {Pn} ∞ n=0 as …
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