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Titlebook: Selberg Zeta Functions and Transfer Operators; An Experimental Appr Markus Szymon Fraczek Book 2017 Springer International Publishing AG 20

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書目名稱Selberg Zeta Functions and Transfer Operators
副標(biāo)題An Experimental Appr
編輯Markus Szymon Fraczek
視頻videohttp://file.papertrans.cn/864/863968/863968.mp4
概述The only book on the market which describes the evaluation of Selberg zeta functions for character deformations via the transfer operator method.Gives a detailed description of numerical methods and a
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Selberg Zeta Functions and Transfer Operators; An Experimental Appr Markus Szymon Fraczek Book 2017 Springer International Publishing AG 20
描述.This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic Laplacians under both singular and non-singular perturbations. Areas in which the theory has not yet been sufficiently developed, such as the spectral theory of transfer operators or the singular perturbation theory of hyperbolic Laplacians, will profit from the numerical experiments discussed in this book. Detailed descriptions of numerical approaches to the spectra and eigenfunctions of transfer operators and to computations of Selberg zeta functions will be of value to researchers active in analysis, while those researchers focusing more on numerical aspects will benefit from discussions of the analytic theory, in particular those concerning the transfer operator method and the spectral theory of hyperbolic spaces..
出版日期Book 2017
關(guān)鍵詞Character deformation; Eigenvalues and resonances of hyperbolic Laplacian; Selberg zeta function; Singu
版次1
doihttps://doi.org/10.1007/978-3-319-51296-9
isbn_softcover978-3-319-51294-5
isbn_ebook978-3-319-51296-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing AG 2017
The information of publication is updating

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Markus Szymon Fraczekions. In studies on mouse models of Down‘s syndrome, we uncovered evidence for the involvement of a particular neuronal population heavily innervating the hippocampus. In an extensive series of experiments, we found evidence that failed retrograde transport of nerve growth factor signaling in cholin
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Markus Szymon Fraczek an increased cerebral oxygen metabolism or a decreased cerebral blood flow [1, 3–5, 6]. Cerebrovenous oxygen saturation below 55% indicates a critically decreased cerebral blood flow desaturation below 50% definitely indicates cerebral ischemia [1, 3,6].
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Markus Szymon Fraczekat this progress has made the results of this early clinical trial obsolete. However, more recent randomized trials are not available. Therefore we performed a retrospective study to answer the question of when to operate and when to treat conservatively. Like all retrospective trials, our study has
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Book 2017nctions will be of value to researchers active in analysis, while those researchers focusing more on numerical aspects will benefit from discussions of the analytic theory, in particular those concerning the transfer operator method and the spectral theory of hyperbolic spaces..
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Markus Szymon Fraczekd cognitive failure and understanding of the underlying mechanisms. Given the marked similarities in pathological and clinical phenotypes between Alzheimer‘s disease and Down syndrome, studies of the pathogenesis of one can be expected to complement and support those in the other. Alzheimer‘s diseas
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