Results 231 to 240 of about 516 (268)

Resolvent and Spectrum

1965
Let T be a linear operator whose domain D(T) and range R(T) both lie in the same complex linear topological space X. We consider the linear operator $${T_\lambda } = \lambda I - T,$$ , where λ is a complex number and I the identity operator. The distribution of the values of λ for which T λ has an inverse and the properties of the inverse when ...
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Computing the Spectrum and Representing the Resolvent

Numerical Functional Analysis and Optimization, 2009
We discuss computing the spectrum of a bounded operator and representing its resolvent operator. The results include a general convergence theorem for the polynomial convex hull of the spectrum and explicit representations for the resolvent outside. The results are formulated and proved in general Banach algebras.
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Spectrum Resolved SNR Monitoring of In-Service Channel

Optical Fiber Communication Conference (OFC) 2024
We propose and experimentally demonstrate a novel scheme to monitor the spectrum resolved SNR with receiver ADC buffer data. SNR accuracy of 0.2dB can be achieved, and filtering impact can be separated from link noise.
Qingyi Guo, Xuefeng Tang, Yang Lan, Zhiping Jiang   +3 more
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Spectrum, Resolvent and Analytic Functional Calculus

1989
From the point of wiev of the general spectral theory of linear operators, the hyponormality condition has several important and rather unexpected consequences. Among these we mention the formula for the spectral radius, the estimates of the resolvent function, as well as other results such as the existence of the scalar extension and Dynkin’s analytic
Mircea Martin, Mihai Putinar
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Time-resolved electron spectrum measurements on the FELIX facility

Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 1993
Measurements of the FELIX electron energy spectrum using multichannel secondary emission monitors are described. The detectors have a time resolution of 50 ns and span typically 4% in electron energy over 32 channels. Aspects of the design of the OTR detector and energy spectrometer for FELIX are presented, along with data recently acquired with the ...
Gillespie, W.A., Martin, P.F., MacLeod, A.M., Macdonald, A.J., Bakker, R.J., van der Geer, C.A. J., van der Meer, A.F. G., van Amersfoort, P.W.   +7 more
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Vibrationally Resolved LIF Spectrum of Tertiary Methylcyclohexoxy Radical

The Journal of Physical Chemistry A, 2012
Cyclohexoxy radical and its substitutes are intermediates of the combustion reaction in automobile engines, and hence play an important role in the atmospheric chemistry. Spectroscopic and conformational studies can provide convenient methods to monitor these species.
Qijun, Wu, Gaiting, Liang, Lily, Zu, Weihai, Fang   +3 more
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Spectrum, Resolvent and Power Boundedness

1993
Let L be a bounded operator in a complex Banach space X. In this space we denote the norm by ‖⋅‖ and the same notation is used for the induced operator norms. Unless explicitly stated otherwise, continuity, convergence etc. is to be understood in terms of the norm topology in X and in the uniform operator topology for operators.
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Resolving the Optical Spectrum of Water: Coordination and Electrostatic Effects

Physical Review Letters, 2008
The optical absorption of small water clusters, water chains, liquid water, and crystalline ice is analyzed computationally. We identify two competing mechanisms determining the onset of the optical absorption: Electronic transitions involving surface molecules of finite clusters or chains cause a redshift upon molecular aggregation compared to ...
A, Hermann, W G, Schmidt, P, Schwerdtfeger   +2 more
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Spectrum and resolvent of a partial integral operator

Applicable Analysis, 2008
We consider the partial integral operator where w(.,. ), K(.,. ,. ), φ are given functions. Norm estimates for the resolvent and bounds for the spectrum are established. Our main tool is the direct integral of Hilbert spaces and recent estimates for norms of the resolvents of compact operators and operators with the compact Hermitian components.
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The rotationally resolved electronic spectrum of p-cyanophenol

Phys. Chem. Chem. Phys., 2002
The electronic origin transition of p-cyanophenol (4-hydroxy-benzonitrile) at 35547.46 cm−1 was examined using rotationally resolved LIF spectroscopy. The experimentally determined inertial parameters are reported and compared to the results of ab initio calculations. The S1-lifetime of p-cyanophenol is determined to be 10.6 ± 3 ns, considerably longer
Jochen Küpper, Michael Schmitt, Karl Kleinermanns   +2 more
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