Hörmander, L.: The spectral function of an elliptic operator. Acta Math. 121 , 193–218 (1968) MATH MathSciNetL. Hörmander, The spectral function of an elliptic operator. Acta Math. 121 , 193–218 (1968) MathSciNet MATHHörmander L.: The spectral function of an elliptic operator....
We solve exactly the spectral problem for the non-Hermitian operator $H_U f(x)\equiv f(U-1/x)/x^2$. Despite the absence of orthogonality, the eigen functions of this operator allow one to construct in a simple way the expansion of an arbitrary function in series. Explicit formulas for...
On some nonclassical features of a spectral problem for an elliptic operator with the condition that the oblique derivative be equal to zero 来自 ResearchGate 喜欢 0 阅读量: 5 作者:VA Il'In,EI Moiseev 摘要: For the large time period T equal to 2l(n+1), where n - any natural number,...
Spectral theory; Symplectic geometry; Hypoelliptic operator; Cotangent bundle; Asymptotic expansion; Vector bundle; Elliptic operator; Holomorphic function; Hamiltonian vector field; Volume form; Line bundle; Cohomology; Equivalence class; Homogeneous function; Integral transform; Quotient ring; Invariant subspa...
Spectral functions of singular differential operators with matricial coefficients We study the asymptotic behavior of the Harish-Chandra function associated to a singular second order differential operator with matricial coefficients. Th... H Chebli,NH Mahmoud - 《Indagationes Mathematicae》 被引量: 9...
The polynomial F is one that depends on the function \(f(\zeta ,t)\) and its frictional derivatives. The nonlinear terms as well as the frictional order derivatives are included in this polynomial. We next go over the main steps of this technique in detail. In order to investigate potenti...
The linear response function of an idealized atmosphere. Part I: Construction using Green’s functions and applications. J. Atmos. Sci. 73, 3423–3439 (2016). Article Google Scholar Abramov, R. V. & Majda, A. J. Blended response algorithms for linear fluctuation-dissipation for complex ...
NL Lim - 《Journal of Functional Analysis》 被引量: 6发表: 1996年 Quantitative vascular neuroimaging of the rat brain using superparamagnetic nanoparticles: New insights on vascular organization and brain function A method called Quantitative Ultra-Short Time-to-Echo Contrast Enhanced (QUTE-CE) Magnet...
An efficient computation scheme for the free space Green's function of a two-dimensional semiinfinite phased array A simple scheme is developed to compute the Green's function of a periodic semiinfinite array in free space. It is based on the spectral representation of ... C Craeye,AB Smol...
With a spectral frequency interval of 0.02 rad/s, the maximum duration of any nonrepeating time series derived from this spectrum is 𝑡=2𝜋/0.02≈314 st=2π/0.02≈314 s. Then, the mean power over time series can be expressed as: 𝑃 (𝐻𝑠,𝑇𝑎𝑣,𝑗)=1𝑡∫0𝑡𝑃...