Results 61 to 70 of about 73,015 (248)
Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
Journal of Time Series Analysis, EarlyView.ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
wiley +1 more source
Electronic Journal of Differential Equations, 2016 In this article we study a class of generalized BVP' s consisting of discontinuous Sturm-Liouville equation on finite number disjoint intervals, with usual boundary conditions and supplementary transmission conditions at finite number interior ...
Kadriye Aydemir, Oktay Sh. Mukhtarov
doaj
A Nonhomogeneous Eigenfunction Expansion [PDF]
Transactions of the American Mathematical Society, 1965 Non-selfadjoint expressions of the form ly = y" + q(x)y have begun to be studied extensively in the past few years, and in two instances Naimark [4] (on the interval [0, oo)) and Kemp [3] (on the interval (oo, oo)) have achieved expansions in terms of eigenfunctions of 1.
openaire +1 more source
Functional Sieve Bootstrap for the Partial Sum Process With an Application to Change‐Point Detection
Journal of Time Series Analysis, EarlyView.ABSTRACT This article applies the functional sieve bootstrap (FSB) to estimate the distribution of the partial sum process for time series stemming from a weakly stationary functional process. Consistency of the FSB procedure under weak assumptions on the underlying functional process is established.
Efstathios Paparoditis +2 more
wiley +1 more source
A New Approach to Statistical Inference for Functional Time Series
Journal of Time Series Analysis, EarlyView.ABSTRACT The analysis of time‐indexed functional data plays an important role in the field of business and economic statistics. In the literature, statistical inference for functional time series often involves reducing the dimension of functional data to a finite dimension K$$ K $$, followed by the use of tools from multivariate analysis.
Hanjia Gao, Yi Zhang, Xiaofeng Shao
wiley +1 more source
Semiclassical inequalities for Dirichlet and Neumann Laplacians on convex domains
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 762-822, March 2026.Abstract We are interested in inequalities that bound the Riesz means of the eigenvalues of the Dirichlet and Neumann Laplacians in terms of their semiclassical counterpart. We show that the classical inequalities of Berezin–Li–Yau and Kröger, valid for Riesz exponents γ≥1$\gamma \ge 1$, extend to certain values γ<1$\gamma <1$, provided the underlying ...
Rupert L. Frank, Simon Larson
wiley +1 more source
Tensor spherical harmonics on S^2 and S^3 as eigenvalue problems [PDF]
, 1978 Tensor spherical harmonics for the 2‐sphere and 3‐sphere are discussed as eigenfunction problems of the Laplace operators on these manifolds. The scalar, vector, and second‐rank tensor harmonics are given explicitly in terms of known functions and their ...
Sandberg, Vernon D.
core
A Laplace transform approach to the quantum harmonic oscillator
, 2012 The one-dimensional quantum harmonic oscillator problem is examined via the Laplace transform method. The stationary states are determined by requiring definite parity and good behaviour of the eigenfunction at the origin and at ...
de Castro, Antonio S. +1 more
core +1 more source
Geophysical Research Letters, Volume 53, Issue 3, 16 February 2026.Abstract Hot and tenuous plasmas have velocity distribution functions (VDFs) significantly different from Maxwellian distributions. Characterizing how these differences impact wave damping and emission necessitates sophisticated methods for determining the associated dielectric plasma response.
K. G. Klein +8 more
wiley +1 more source
Spectral Parameter Power Series Representation for Regular Solutions of the Radial Dirac System
Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 2098-2113, February 2026.ABSTRACT A spectral parameter power series (SPPS) representation for the regular solution of the radial Dirac system with complex coefficients is obtained, as well as a SPPS representation for the (entire) characteristic function of the corresponding spectral problem on a finite interval. Based on the SPPS representation, a numerical method for solving
Emmanuel Roque, Sergii M. Torba
wiley +1 more source