Results 31 to 40 of about 7,103 (240)
Generalized Eigenfunction Expansions
Generalized eigenfunction expansions based on commutator relations. Improving on the embeddings obtained by Hilbert-Schmidt-Riggings.
Emin Karayel (626216)
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Eigenfunctions in Finsler Gaussian solitons
Gaussian solitons are important examples in the theory of Riemannian measure space. In the first part, we explicitly characterize the first eigenfunctions of the drift Laplacian in a Gaussian shrinking soliton, which shows that apart from each coordinate
Liu Caiyun, Yin Songting
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Eigenfunction expansions in thermoelasticity
We develop spectral theorems for a certain class of (non-) selfadjoint differential operators via eigenfunction expansions. To this end at first the equations of linear thermoelasticity are dealt with in the whole space for an isotropic, homogeneous ...
Racke, Reinhard
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Multicontinuum Homogenization for Poroelasticity Model
This work derives a generalized multicontinuum poroelasticity model using the multicontinuum homogenization method to enable accurate coarse‐grid simulations of coupled flow–mechanics processes in highly heterogeneous porous media. Coupled constraint cell problems are formulated, and the corresponding multicontinuum equations are rigorously derived ...
Dmitry Ammosov +2 more
wiley +1 more source
Periodic boudary-value problem for Hill's equation in the case of parametric resonance [PDF]
Necessary and sufficient conditions for the existence of solutions of nonlinear nonautonomous periodic problem for Hills equation in the case of parametric resonance.
Petr Viktorovich Kulish +2 more
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Holomorphic extension of eigenfunctions [PDF]
8p, no ...
Krötz, Bernhard, Schlichtkrull, Henrik
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An uncertainty principle for eigenfunction expansions
In this paper, we extend a theorem of Hardy's on Fourier transform pairs to: (a) a noncompact-type Riemannian symmetric space of rank one, with respect to the eigenfunction expansion of the invariant Laplacian; (b) a compact Riemannian manifold with ...
Sundari, M. +3 more
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Eigenfunction distribution for the Rosenzweig-Porter model [PDF]
The statistical distribution of eigenfunctions for the Rosenzweig-Porter model is derived for the region where eigenfunctions have fractal behaviour. The result is based on simple physical ideas and leads to transparent explicit formulas which agree very
Bogomolny, Eugene +3 more
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Intraday Functional PCA Forecasting of Cryptocurrency Returns
ABSTRACT We study the functional PCA (FPCA) forecasting method in application to functions of intraday returns on Bitcoin. We show that improved interval forecasts of future return functions are obtained when the conditional heteroscedasticity of return functions is taken into account.
Joann Jasiak, Cheng Zhong
wiley +1 more source
On a boundary problem for the fourth order equation with the third derivative with respect to time
In this paper, we consider a boundary value problem in a rectangular domain for a fourth-order homogeneous partial differential equation containing the third derivative with respect to time. The uniqueness of the solution of the stated problem is proved
Yu.P. Apakov, D.M. Meliquzieva
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