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Spectral Analysis in Rigged Hilbert Spaces

2015
In Quantum Physics, in particular in the framework of Dirac’s bra and ket formulation, the existence and completeness of “generalized eigenfunctions” plays a prominent role. This chapter explains the most important mathematical aspects on which this formalism is based, the so called “nuclear spectral theorem.” Naturally some preparations are needed. We
Philippe Blanchard, Erwin Brüning
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A novel Riemann–Hilbert approach via t-part spectral analysis for a physically significant nonlocal integrable nonlinear Schrödinger equation

Nonlinearity, 2023
In this paper, a novel Riemann–Hilbert (RH) approach is reported for a physically significant nonlocal integrable nonlinear Schrödinger equation. In this RH approach, the spectral analysis is performed from the t-part of the Lax pair rather than the x ...
Jianping Wu
semanticscholar   +1 more source

Feasibility of ECE Measurements Using Hilbert-Transform Spectral Analysis

Fusion Science & Technology, 2014
Electron cyclotron emission (ECE) from hot tokamak plasmas is recognized nowadays as a very informative diagnostic of main plasma parameters.
Yuriy Divin, Hitesh Kumar B. Pandya
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Interactive analysis of multi-spectral images using a Hilbert curve

Proceedings of 12th International Conference on Pattern Recognition, 2002
There have been many new developments in interactive analysis for multi-spectral images in the research of remote sensing. In general, the methods used are linear transformations such as principal component analysis. In this paper, the authors present a new interactive method for classifying multi-spectral images using a Hilbert curve which is a one-to-
S.-I. Kamata, M. Niimi, E. Kawaguchi
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Maximum Entropy Spectral Analysis of Hilbert Transformed Complex Data

1989
This paper evaluates Hilbert transformed complex data using complex maximum entropy spectral estimation to determine if a reduction in pole complexity results. Since the computational load of the maximum entropy method (MEM) scales as a function of predictor length, a shorter length predictor may be used in some cases when presented with complex data ...
Michael R. Sturgill, Louis E. Roemer
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Adaptive visual saliency detection method via Hilbert-Huang Spectral Analysis

2014 IEEE International Conference on Multimedia and Expo Workshops (ICMEW), 2014
Visual saliency is largely determined by bottom-up factors that highlight image regions which are different from their surroundings. Based on the philosophy that exploits image information content as the metric of visual saliency, an adaptive visual saliency detection method(AVSDM) including Pixel Cluster, multi-scale Gaussian Pyramid Decomposition and
H Shaw   +4 more
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Spectral analysis of elliptic differential equations in Hilbert space

Ukrainian Mathematical Journal, 1986
The differential self-adjoint operator H with operator-valued non- continuous coefficients is considered. Under assumptions of the paper the operator H has a discrete spectrum. The main purpose is to study the distribution of eigenvalues and properties of eigenfunctions.
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Baseline correction of near-fault ground motion records based on the hilbert spectral analysis

Soil Dynamics and Earthquake Engineering, 2022
Xiao-yu Chen, Dongsheng Wang
semanticscholar   +1 more source

Stochastic Processes and Spectral Analysis for Hilbert $$C^*$$ C ∗ -Module-Valued Maps

Bulletin of the Malaysian Mathematical Sciences Society, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spectral Analysis of Familiar Human Voice Based On Hilbert-Huang Transform

2018 International Conference on Computer Engineering, Network and Intelligent Multimedia (CENIM), 2018
Spectral analysis of human voice signals is important to reveal hidden information when is not available in the time-domain. Extracting spectral information from those voice signals will enhance our knowledge in understanding the nature and characteristic of the voice.
Agustinus Bimo Gumelar   +3 more
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