دانلود کتاب خارجی - دانلود رایگان کتاب لاتین PDF علمی

تعداد نتایج: 1192

By Alberto Parmeggiani
Publisher: Springer, 2010-07-23
Pages: 260
Language: en
ISBN_13:9783642119224
ISBN_10:3642119220
Subject: Mathematics

Spectral Theory of Non-Self-Adjoint Two-Point Differential Operators

جزئیات و درخواست

By John Locker
Publisher: American Mathematical Soc., 2000
Pages: 266
Language: en
ISBN_13:9780821820490
ISBN_10:0821820494
Subject: Mathematics

Partial Differential Equations II

Qualitative Studies of Linear Equations

جزئیات و درخواست

By Michael E. Taylor
1996
Pages: 529
Language: en
ISBN_10:1475741928
ISBN_13:9781475741926
Subject: Distribution (Probability theory)

Spectral Theory of Automorphic Functions

and Its Applications

جزئیات و درخواست

By A.B. Venkov
Publisher: Springer Science & Business Media, 2012-12-06
Pages: 189
Language: en
ISBN_13:9789400918924
ISBN_10:9400918925
Subject: Mathematics

Introduction to Modern Analysis

جزئیات و درخواست

By Shmuel Kantorovitz
Publisher: OUP Oxford, 2003-02-20
Pages: 456
Language: en
ISBN_10:0191523550
ISBN_13:9780191523557
Subject: Mathematics

Algebraic Methods in Operator Theory

جزئیات و درخواست

By Raul E Curto, Palle E T Jorgensen
1995-04-01
Pages: 372
Language: en
ISBN_10:1461202566
ISBN_13:9781461202561

Ordinary and Partial Differential Equations

Proceedings of the Seventh Conference Held at Dundee, Scotla...

جزئیات و درخواست

By W. N. Everitt, B. D. Sleeman
Publisher: Springer, 2006-11-15
Pages: 748
Language: en
ISBN_13:9783540395614
ISBN_10:354039561X
Subject: Mathematics

Spectral Theory for Bounded Functions and Applications to Evolution Equations

جزئیات و درخواست

By Gaston M. N'Guerekata
2017
Language: en
ISBN_10:1536121126
ISBN_13:9781536121124
Subject: Functional analysis

Semiclassical Analysis, Witten Laplacians, and Statistical Mechanics

جزئیات و درخواست

By Bernard Helffer
Publisher: World Scientific, 2002
Pages: 200
Language: en
ISBN_10:9812380981
ISBN_13:9789812380982
Subject: Mathematics

Quantized Number Theory, Fractal Strings And The Riemann Hypothesis: From Spectral Operators To Phase Transitions And Universality

$Studying the relationship between the geometry, arithmetic and spectra of fractals has been a subject of significant interest in contemporary mathematics. This book contributes to the literature on the subject in several different and new ways. In particular, the authors provide a rigorous and detailed study of the spectral operator, a map that sends the geometry of fractal strings onto their spectrum. To that effect, they use and develop methods from fractal geometry, functional analysis, complex analysis, operator theory, partial differential equations, analytic number theory and mathematical physics.Originally, M L Lapidus and M van Frankenhuijsen 'heuristically' introduced the spectral operator in their development of the theory of fractal strings and their complex dimensions, specifically in their reinterpretation of the earlier work of M L Lapidus and H Maier on inverse spectral problems for fractal strings and the Riemann hypothesis.One of the main themes of the book is to provide a rigorous framework within which the corresponding question 'Can one hear the shape of a fractal string?' or, equivalently, 'Can one obtain information about the geometry of a fractal string, given its spectrum?' can be further reformulated in terms of the invertibility or the quasi-invertibility of the spectral operator.The infinitesimal shift of the real line is first precisely defined as a differentiation operator on a family of suitably weighted Hilbert spaces of functions on the real line and indexed by a dimensional parameter c. Then, the spectral operator is defined via the functional calculus as a function of the infinitesimal shift. In this manner, it is viewed as a natural 'quantum' analog of the Riemann zeta function. More precisely, within this framework, the spectral operator is defined as the composite map of the Riemann zeta function with the infinitesimal shift, viewed as an unbounded normal operator acting on the above Hilbert space.It is shown that the quasi-invertibility of the spectral operator is intimately connected to the existence of critical zeros of the Riemann zeta function, leading to a new spectral and operator-theoretic reformulation of the Riemann hypothesis. Accordingly, the spectral operator is quasi-invertible for all values of the dimensional parameter c in the critical interval (0,1) (other than in the midfractal case when c =1/2) if and only if the Riemann hypothesis (RH) is true. A related, but seemingly quite different, reformulation of RH, due to the second author and referred to as an 'asymmetric criterion for RH', is also discussed in some detail: namely, the spectral operator is invertible for all values of c in the left-critical interval (0,1/2) if and only if RH is true.These spectral reformulations of RH also led to the discovery of several 'mathematical phase transitions' in this context, for the shape of the spectrum, the invertibility, the boundedness or the unboundedness of the spectral operator, and occurring either in the midfractal case or in the most fractal case when the underlying fractal dimension is equal to ½ or 1, respectively. In particular, the midfractal dimension c=1/2 is playing the role of a critical parameter in quantum statistical physics and the theory of phase transitions and critical phenomena.Furthermore, the authors provide a 'quantum analog' of Voronin's classical theorem about the universality of the Riemann zeta function. Moreover, they obtain and study quantized counterparts of the Dirichlet series and of the Euler product for the Riemann zeta function, which are shown to converge (in a suitable sense) even inside the critical strip.For pedagogical reasons, most of the book is devoted to the study of the quantized Riemann zeta function. However, the results obtained in this monograph are expected to lead to a quantization of most classic arithmetic zeta functions, hence, further 'naturally quantizing' various aspects of analytic number theory and arithmetic geometry.The book should be accessible to experts and non-experts alike, including mathematics and physics graduate students and postdoctoral researchers, interested in fractal geometry, number theory, operator theory and functional analysis, differential equations, complex analysis, spectral theory, as well as mathematical and theoretical physics. Whenever necessary, suitable background about the different subjects involved is provided and the new work is placed in its proper historical context. Several appendices supplementing the main text are also included.$

جزئیات و درخواست

By Hafedh Herichi, Michel L Lapidus
Publisher: World Scientific, 2021-07-27
Pages: 494
Language: en
ISBN_13:9789813230811
ISBN_10:9813230819
Subject: Mathematics

Spectral Theory of Canonical Differential Systems. Method of Operator Identities

جزئیات و درخواست

By L.A. Sakhnovich
Publisher: Birkhäuser, 2012-12-06
Pages: 201
Language: en
ISBN_13:9783034887137
ISBN_10:3034887132
Subject: Mathematics

Geometric and Computational Spectral Theory

جزئیات و درخواست

By Alexandre Girouard
2017
Pages: 298
Language: en
ISBN_10:1470442582
ISBN_13:9781470442583
Subject: Geometry, Differential

Microlocal Analysis, Sharp Spectral Asymptotics and Applications V

Applications to Quantum Theory and Miscellaneous Problems

جزئیات و درخواست

By Victor Ivrii
Publisher: Springer, 2020-09-30
Pages: 739
Language: en
ISBN_10:3030305635
ISBN_13:9783030305635
Subject: Mathematics

Mathematical Analysis and Numerical Methods for Science and Technology

Volume 2 Functional and Variational Methods

جزئیات و درخواست

By Robert Dautray, Jacques-Louis Lions
Publisher: Springer, 1988-10-14
Pages: 590
Language: en
ISBN_10:3540190457
ISBN_13:9783540190455
Subject: Mathematics

Manifolds with Cusps of Rank One

Spectral Theory and L2-index Theorem

جزئیات و درخواست

By Werner Müller
Publisher: Springer, 1987
Pages: 192
Language: en
OTHER:UVA:X001449121
Subject: Mathematics

Algebraic Methods in Operator Theory

جزئیات و درخواست

By Raúl E. Curto
1994-01-01
Pages: 360
Language: en
ISBN_10:3764337451
ISBN_13:9783764337452
Subject: Banach algebras

Kurt Otto Friedrichs

Selecta

جزئیات و درخواست

By C.S. Morawetz
Publisher: Birkhäuser, 1986-01-01
Pages: 427
Language: en
ISBN_10:0817632700
ISBN_13:9780817632700
Subject: Science

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