Operators and eigenfunctions
Matrix-valued commuting differential operators and their joint eigenfunctions (Various Issues relating to Representation Theory and Non-commutative Harmonic Analysis)
... Matrix-valued commuting differential operators and their joint eigenfunctions Various Issues relating to Representation Theory and Non-commutative Harmonic Analysis 示野, 信一.. Departmental[r] ...
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Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions
... In the last part of the paper we will give applications of the results in some concrete situations, where the polynomials {P.(x)}~o are classical orthogonal poly[r] ...
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Monomiality Principle and Eigenfunctions of Differential Operators
... In many paper the so-called monomiality principle, introduced by Dattoli et al. 1, was used in order to study in a standard way the most important properties of special polynomials and functions 2. In this paper, we show ...
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Norms of eigenfunctions to trigonometric KZB operators
... of Eigenfunctions to Trigonometric KZB Operators Erik Jeremy Jensen A dissertation submitted to the faculty of the University of North Carolina at Chapel Hill in partial fulfillment of the requirements for ...
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Universal constraints on the location of extrema of eigenfunctions of non-local Schrödinger operators
... ODINGER OPERATORS ANUP BISWAS AND J ´ OZSEF L ˝ ORINCZI ...of eigenfunctions for a large class of non-local Schr¨ odinger operators in convex domains under Dirichlet exterior conditions, featuring ...
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Formalized Quantum Model for Solving the Eigenfunctions
... Keywords Quantum Operators, Phase Space, Quantum Circuit 1. Introduction In the circuit model of quantum computations the change of the quantum states is implemented through quantum operators. A given ...
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Asymptotic Distributions of Estimators of Eigenvalues and Eigenfunctions in Functional Data
... q j and y ˆ j approximate q j and y j , respectively. That account can be easily provided using properties of the expansions. Moreover, the problem of determining estimator accuracy, uniformly over many components, ...
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6. Fractional power theory for eigenfunctions of Hankel transforms
... Abstract. The eigenvalues of Hankel transform with corresponding eigen- functions are considered. Translation and convolution for eigenfunctions of Hankel transforms are defined. These operators are used to ...
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Regularized sum for eigenfunctions of multi point problem in the commensurable case
... It is worth mentioning that this theorem i. .atisfied also in the case of nuclear operators acting in Hilbert space. Sadovnichii [1 proved this theorem. Thus we might ask the following q[r] ...
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Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem
... 22. Aliyev, ZS, Kerimov, NB: Spectral properties of the differential operators of the fourth-order with eigenvalue parameter dependent boundary condition. Int. J. Math. Math. Sci. 2012, Article ID 456517 (2012) 23. ...
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Lecture 4.8: Generalized eigenfunctions of differential operators
... School of Mathematical & Statistical Sciences Clemson University. http://www.math.clemson.edu/~macaule/[r] ...
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APPROXIMATE EIGENFUNCTIONS OF THE LAPLACIAN
... As in the case of a closed geodesic, when n = 1 the results in § 4 for bouncing ball waves are due to Lazutkin [9] and also Smith [10].. The significance of the approximate eigenfunction[r] ...
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Lipschitz Regularity of the Eigenfunctions on Optimal Domains
... This paper is organized as follows: in Section 2 we recall some tools about Sobolev-like spaces, capacity and γ-convergence; in Section 3 we deal with the Lipschitz regularity for quasi-minimizers of the Dirichlet energy ...
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In the companion article (1), it is shown that the eigenfunctions
... Extension of Empirical Functions of the Data Set An important aspect of the multiscale developed so far involves the relation of the spectral theory on the set to the localization on and off the set of the corresponding ...
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Stochastic processes with orthogonal polynomial eigenfunctions
... polynomial eigenfunctions and eigenvalues e − cnt where c ≥ 0 is a constant, apart from the Jacobi diffusion which has eigenvalues e − 1 2 n ( n + θ− 1 ) t , where θ > 0 is a ...
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Characterization of Periodic Eigenfunctions of the Fourier Transform Operator
... Lighthill, “An Introduction to Fourier Analysis and Generalized Functions,” Cambridge University Press, New York, 1958. Tolimieri, “Is Computing with the Finite Fourier Transform Pure[r] ...
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Some Integrals Involving Symmetric-Top Eigenfunctions »
... Using closure over a complete set of rotational states for methane to evaluate the intensity for quasi-elastic electron scattering in the first Born approximation, a number of integral[r] ...
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Spectral Clustering and Kernel PCA are Learning Eigenfunctions
... Eigenfunctions Yoshua Bengio, * Pascal Vincent, † Jean-François Paiement ‡ Résumé / Abstract Dans cet article, on montre une équivalence directe entre la classification spectrale et l'ACP à noyau, et on montre que ...
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Localisation of Low Energy Eigenfunctions to the Schr ?odinger Operator
... eigenfunctions of L in this subset) with eigenvalue λ ± δ. For these subsets to exist, 1 u needs to vary substantially. Since u solves Lu = 1, this phenomena cannot occur when V is smooth, and does not vary ...
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Removable sets and approximation of eigenvalues and eigenfunctions on combinatorial graphs
... The goal of the present article is to show that the “small” eigenvalues of a combinatorial Laplace operator L on a combinatorial graph of N vertices can be approximated by the eigenvalue[r] ...
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