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標(biāo)題: Titlebook: Introduction to Spectral Theory; With Applications to P. D. Hislop,I. M. Sigal Book 1996 Springer Science+Business Media New York 1996 Four [打印本頁]

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作者: Glucocorticoids    時間: 2025-3-21 22:43

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作者: 滔滔不絕的人    時間: 2025-3-22 07:38
Introduction to Spectral Theory978-1-4612-0741-2Series ISSN 0066-5452 Series E-ISSN 2196-968X
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0066-5452 Overview: 978-1-4612-6888-8978-1-4612-0741-2Series ISSN 0066-5452 Series E-ISSN 2196-968X
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https://doi.org/10.1007/978-1-4612-0741-2Fourier transform; Hilbert space; Operator; Sobolev space; Topologie; calculus; convolution; geometry; model
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P. D. Hislop,I. M. Sigal entities and histologic variants are fully explored. Useful immunostaining biomarkers and emerging molecular targets and relevant molecular findings that have emerged from recent genomic studies are incorporat978-1-4419-6043-6
作者: Mutter    時間: 2025-3-23 05:07
updates of new diagnostic and prognostic information. New classifications and numerous new entities and histologic variants are fully explored. Useful immunostaining biomarkers and emerging molecular targets and relevant molecular findings that have emerged from recent genomic studies are incorporat
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P. D. Hislop,I. M. Sigalupdates of new diagnostic and prognostic information. New classifications and numerous new entities and histologic variants are fully explored. Useful immunostaining biomarkers and emerging molecular targets and relevant molecular findings that have emerged from recent genomic studies are incorporat
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P. D. Hislop,I. M. Sigalupdates of new diagnostic and prognostic information. New classifications and numerous new entities and histologic variants are fully explored. Useful immunostaining biomarkers and emerging molecular targets and relevant molecular findings that have emerged from recent genomic studies are incorporat
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P. D. Hislop,I. M. Sigalhat the underlying strategies for dismantling eukaryotic cells may have evolved before the divergence of these two kingdoms. Recent studies on the involvement of various proteases and the highly conserved Bax inhibitor-1 protein in control of plant PCD are consistent with this notion, and their furt
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P. D. Hislop,I. M. Sigalmage, chances are that the cell will die before the mutation is locked in by cell division. If it were not for this mechanism, it is possible that skin and gastrointestinal tumors would be far more frequent than they are. Similarly, cells of the innate and acquired immune responses have, in general,
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P. D. Hislop,I. M. Sigalprocess, it is also involved in a wide range of pathologies. Increased apoptosis has been associated with stroke; myocardial infarct; reperfusion injury; arteriosclerosis; heart failure; infertility; diabetes; AIDS; hepatitis; renal failure; and neurodegenerative diseases like multiple sclerosis (MS
作者: originality    時間: 2025-3-25 04:01
P. D. Hislop,I. M. Sigalects. Several books devoted to the methodology of apoptosis analysis have been published recently .. Readers are advised to review the detailed experimental protocols in these books. This chapter aims to provide an overview of the basic approaches used in analyzing apoptosis, the principles, and the
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P. D. Hislop,I. M. Sigaliables and Sturm-Liouville transforms. This second edition includes two new and revised chapters on perturbation methods, and singular perturbation theory of di978-3-031-01276-1978-3-031-02404-7Series ISSN 1938-1743 Series E-ISSN 1938-1751
作者: 發(fā)牢騷    時間: 2025-3-26 07:53

作者: Peak-Bone-Mass    時間: 2025-3-26 10:12
iseases and neoplastic processes. Many clinically important new histopathologic entities have been described or more fully defined in virtually every organ. Numerous clinically important diagnostic and prognostic markers have entered routine practice. Genetic testing for the early detection of cance
作者: 圓柱    時間: 2025-3-26 16:04
P. D. Hislop,I. M. Sigaliseases and neoplastic processes. Many clinically important new histopathologic entities have been described or more fully defined in virtually every organ. Numerous clinically important diagnostic and prognostic markers have entered routine practice. Genetic testing for the early detection of cance
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作者: 察覺    時間: 2025-3-27 04:20
P. D. Hislop,I. M. Sigaliseases and neoplastic processes. Many clinically important new histopathologic entities have been described or more fully defined in virtually every organ. Numerous clinically important diagnostic and prognostic markers have entered routine practice. Genetic testing for the early detection of cance
作者: 游行    時間: 2025-3-27 05:32

作者: 繁忙    時間: 2025-3-27 13:23
P. D. Hislop,I. M. Sigalnse systems. Therefore, the degree of oxidative stress is a direct outcome of the rate at which the cells’ metabolic processes fuel ROS production and the efficiency with which the antioxidant machinery is able to deal with the impending accumulation. Invariably, the rate of ROS production outweighs
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P. D. Hislop,I. M. Sigalin part due to the sessile nature of plants as well as their particular mode of cellular organization and architecture. Whereas apoptosis in animals is a common mechanism for the clearance of unwanted cells by neighboring cells or circulating macrophages, the presence of a rigid cell wall in plants
作者: 漂白    時間: 2025-3-27 19:30
P. D. Hislop,I. M. Sigalracellular domains. A subgroup of these receptors, the so-called death receptors, shares an intracellular motif termed the death domain. When engaged by their cognate ligands, these receptors trigger an apoptotic pathway often referred to as the extrinsic pathway. This is mediated by the recruitment
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P. D. Hislop,I. M. Sigalnd cellular levels. Detection of apoptosis has become more important, not only because of scientific interests but also because of the significance in clinical practice. For example, because apoptosis has been implicated in the development of a variety of devastating diseases such as cancer, a thera
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P. D. Hislop,I. M. Sigalnd cellular levels. Detection of apoptosis has become more important, not only because of scientific interests but also because of the significance in clinical practice. For example, because apoptosis has been implicated in the development of a variety of devastating diseases such as cancer, a thera
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P. D. Hislop,I. M. Sigald theory. This is a book about linear partial differential equations that are common in engineering and the physical sciences. It will be useful to graduate students and advanced undergraduates in all engineering fields as well as students of physics, chemistry, geophysics and other physical science
作者: 半圓鑿    時間: 2025-3-29 03:43
P. D. Hislop,I. M. Sigald theory. This is a book about linear partial differential equations that are common in engineering and the physical sciences. It will be useful to graduate students and advanced undergraduates in all engineering fields as well as students of physics, chemistry, geophysics and other physical science
作者: GIBE    時間: 2025-3-29 10:30
The Spectrum of Linear Operators and Hilbert Spaces, reader review these appendices before beginning this chapter. We begin with the main topic of our interest: the .. We introduce the . of a linear operator on a Banach space. This operator is crucial to the definition of the spectrum. We define the spectrum and give some of its properties. We then s
作者: Noctambulant    時間: 2025-3-29 11:59
Exponential Decay of Eigenfunctions, Introduction that a Schr?dinger operator is a linear operator on the Hilbert space .. (?.) of the form . = -△ + ., where and the potential . is a real-valued function. The general problem we study here is as follows. Suppose that L is a linear operator on ..(?.) with eigenvalue λ and corresponding
作者: adroit    時間: 2025-3-29 18:10
Operators on Hilbert Spaces,uences for the structure of operators mapping the space into itself. The most important of these is the existence of an . acting on the same space. Although it is possible to define an adjoint operator corresponding to an operator on a Banach space, the operator acts on a different space in general.
作者: CLAY    時間: 2025-3-29 23:19
Self-Adjoint Operators,perators are the infinite-dimensional analogues of symmetric matrices. They play an essential role in quantum mechanics as they determine the time evolution of quantum states. The goal of this chapter is to describe symmetric and self-adjoint operators and to understand some characteristics of the s
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作者: 原始    時間: 2025-3-30 07:15

作者: 認(rèn)識    時間: 2025-3-30 09:16
Self-Adjointness: Part 1. The Kato Inequality, determine which operators occurring in applications are self-adjoint. Then we will apply this to prove that Schr?dinger operators with positive potentials are self-adjoint. After discussing in Chapters 11 and 12 the semiclassical analysis of eigenvalues for Schr?dinger operators with positive, grow
作者: LURE    時間: 2025-3-30 13:46
Compact Operators, a very important class of operators, and a great deal of spectral analysis is based on them. We shall see that compact operators have a very transparent canonical form. Consequently, the spectral properties of a self-adjoint compact operator mimic those of a symmetric matrix as closely as possible.
作者: ALLEY    時間: 2025-3-30 17:12
,Locally Compact Operators and Their Application to Schr?dinger Operators,act). If ..(.) is compact, then σ(..(.)) is discrete with zero the only possible point in the essential spectrum. Hence, one would expect that . has discrete spectrum with the only possible accumulation point at infinity (i.e., σ.(.)) = 0). In this way, the σ(.) reflects the compactness of ..(.)- It
作者: Explosive    時間: 2025-3-30 23:16
,Semiclassical Analysis of Schr?dinger Operators I: The Harmonic Approximation,pics, and we provide an outline in the Notes to this chapter. The material here follows a part of the work of Simon [Sim5]. In quantum mechanics, the Laplacian plays the role of the energy of a free particle. But, the Laplacian apparently has the dimensions of (length).. This is because in our discu
作者: 分開    時間: 2025-3-31 02:35
,Semiclassical Analysis of Schr?dinger Operators II: The Splitting of Eigenvalues, 3.4. In general, an eigenfunction at energy . will decay in regions where .(.) > .. A striking manifestation of this is .: the capacity of a quantum mechanical particle to tunnel through a classically forbidden region of compact support. As is evident from the WKB-approximation to the eigenfunction
作者: 設(shè)想    時間: 2025-3-31 07:39
Self-Adjointness: Part 2. The Kato-Rellich Theorem,ality allows us to consider positive potentials that grow at infinity. These Schr?dinger operators typically have a spectrum consisting only of eigenvalues. The semiclas-sical behavior of these eigenvalues near the bottom of the spectrum was studied in Chapters 11 and 12. The Kato-Rellich theorem wi
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Spectral Deformation Theory,operator .(θ), which is obtained from . by the method of spectral deformation. In this chapter, we present the general theory of .. This technique is applicable to many situations in mathematical physics, such as Schr?dinger operator theory, quantum field theory, plasma stability theory, and the sta
作者: 深淵    時間: 2025-4-1 05:05
,Spectral Deformation of Schr?dinger Operators,ms. Our main application is to the semiclassical theory of shape resonances. For this, we need to study the behavior of Schr?dinger operators under spectral deformations. In this chapter, we first study the effect of local deformations on the Laplacian and its spectrum. We then show that the effect
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The Spectrum of Linear Operators and Hilbert Spaces,rator on a Banach space. This operator is crucial to the definition of the spectrum. We define the spectrum and give some of its properties. We then specialize to Hilbert spaces and develop their basic characteristics in this and the following chapter.
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作者: SUE    時間: 2025-4-1 21:45
Self-Adjointness: Part 1. The Kato Inequality,tials are self-adjoint. After discussing in Chapters 11 and 12 the semiclassical analysis of eigenvalues for Schr?dinger operators with positive, growing potentials, we will return to the question of self-adjointness in Chapter 13 and present the Kato-Rellich theory.
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