Localization and Perturbation of Zeros of Entire Functions

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Author :
Publisher : CRC Press
ISBN 13 : 1439800332
Total Pages : 318 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Localization and Perturbation of Zeros of Entire Functions by : Michael Gil'

Download or read book Localization and Perturbation of Zeros of Entire Functions written by Michael Gil' and published by CRC Press. This book was released on 2009-12-04 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. Localization and Perturbation of Zeros of Entire Functions is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. It also offers a new a

Localization and Perturbation of Zeros of Entire Functions

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Author :
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781439800324
Total Pages : 0 pages
Book Rating : 4.8/5 (3 download)

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Book Synopsis Localization and Perturbation of Zeros of Entire Functions by : Michael Gil'

Download or read book Localization and Perturbation of Zeros of Entire Functions written by Michael Gil' and published by Chapman and Hall/CRC. This book was released on 2009-12-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. Localization and Perturbation of Zeros of Entire Functions is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. It also offers a new approach to the investigation of entire functions based on recent estimates for the resolvents of compact operators. After presenting results about finite matrices and the spectral theory of compact operators in a Hilbert space, the book covers the basic concepts and classical theorems of the theory of entire functions. It discusses various inequalities for the zeros of polynomials, inequalities for the counting function of the zeros, and the variations of the zeros of finite-order entire functions under perturbations. The text then develops the perturbation results in the case of entire functions whose order is less than two, presents results on exponential-type entire functions, and obtains explicit bounds for the zeros of quasipolynomials. The author also offers additional results on the zeros of entire functions and explores polynomials with matrix coefficients, before concluding with entire matrix-valued functions. This work is one of the first to systematically take the operator approach to the theory of analytic functions.

Operator Functions and Localization of Spectra

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Author :
Publisher : Springer
ISBN 13 : 3540452257
Total Pages : 261 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Operator Functions and Localization of Spectra by : Michael I. Gil

Download or read book Operator Functions and Localization of Spectra written by Michael I. Gil and published by Springer. This book was released on 2003-12-09 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.

Nonlinear Analysis, Differential Equations, and Applications

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Author :
Publisher : Springer Nature
ISBN 13 : 3030725634
Total Pages : 791 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Nonlinear Analysis, Differential Equations, and Applications by : Themistocles M. Rassias

Download or read book Nonlinear Analysis, Differential Equations, and Applications written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2021-08-20 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume showcases research and survey papers devoted to a broad range of topics on functional equations, ordinary differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash equilibria, critical point theory, calculus of variations, nonlinear functional analysis, convex analysis, variational inequalities, topology, global differential geometry, curvature flows, perturbation theory, numerical analysis, mathematical finance and a variety of applications in interdisciplinary topics. Chapters in this volume investigate compound superquadratic functions, the Hyers–Ulam Stability of functional equations, edge degenerate pseudo-hyperbolic equations, Kirchhoff wave equation, BMO norms of operators on differential forms, equilibrium points of the perturbed R3BP, complex zeros of solutions to second order differential equations, a higher-order Ginzburg–Landau-type equation, multi-symplectic numerical schemes for differential equations, the Erdős-Rényi network model, strongly m-convex functions, higher order strongly generalized convex functions, factorization and solution of second order differential equations, generalized topologically open sets in relator spaces, graphical mean curvature flow, critical point theory in infinite dimensional spaces using the Leray-Schauder index, non-radial solutions of a supercritical equation in expanding domains, the semi-discrete method for the approximation of the solution of stochastic differential equations, homotopic metric-interval L-contractions in gauge spaces, Rhoades contractions theory, network centrality measures, the Radon transform in three space dimensions via plane integration and applications in positron emission tomography boundary perturbations on medical monitoring and imaging techniques, the KdV-B equation and biomedical applications.

Entire Slice Regular Functions

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Author :
Publisher : Springer
ISBN 13 : 3319492659
Total Pages : 121 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Entire Slice Regular Functions by : Fabrizio Colombo

Download or read book Entire Slice Regular Functions written by Fabrizio Colombo and published by Springer. This book was released on 2016-12-08 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Briefs volume develops the theory of entire slice regular functions. It is the first self-contained, monographic work on the subject, offering all the necessary background information and detailed studies on several central topics, including estimates on the minimum modulus of regular functions, relations between Taylor coefficients and the growth of entire functions, density of their zeros, and the universality properties. The proofs presented here shed new light on the nature of the quaternionic setting and provide inspiration for further research directions. Also featuring an exhaustive reference list, the book offers a valuable resource for graduate students, postgraduate students and researchers in various areas of mathematical analysis, in particular hypercomplex analysis and approximation theory.

Operator Functions And Operator Equations

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Author :
Publisher : World Scientific
ISBN 13 : 9813221283
Total Pages : 260 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Operator Functions And Operator Equations by : Michael Gil'

Download or read book Operator Functions And Operator Equations written by Michael Gil' and published by World Scientific. This book was released on 2017-09-08 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have applications to the theories of ordinary differential, difference, functional-differential and integro-differential equations, as well as to the theories of integral operators and analytic functions. This book provides new tools for specialists in matrix theory and functional analysis. A significant part of the book covers the theory of triangular representations of operators that was developed by L de Branges, M S Brodskii, I C Gohberg, M G Krein, M S Livsic and other mathematicians.

Contributions in Mathematics and Engineering

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Publisher : Springer
ISBN 13 : 3319313177
Total Pages : 754 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Contributions in Mathematics and Engineering by : Panos M. Pardalos

Download or read book Contributions in Mathematics and Engineering written by Panos M. Pardalos and published by Springer. This book was released on 2016-10-04 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this volume aim to deepen understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, non-smooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis is given to interdisciplinary research, although subjects are treated in a unified and self-contained manner. The presentation of methods, theory and applications makes this tribute an invaluable reference for teachers, researchers, and other professionals interested in pure and applied research, philosophy of mathematics, and mathematics education. Some review papers published in this volume will be particularly useful for a broader audience of readers as well as for graduate students who search for the latest information. ​ Constantin Carathéodory’s wide-ranging influence in the international mathematical community was seen during the first Fields Medals awards at the International Congress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carathéodory who presented both their works during the opening of the International Congress. This volume contains significant papers in Science and Engineering dedicated to the memory of Constantin Carathéodory and the spirit of his mathematical influence.

Stability of Vector Differential Delay Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 3034805772
Total Pages : 267 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Stability of Vector Differential Delay Equations by : Michael I. Gil’

Download or read book Stability of Vector Differential Delay Equations written by Michael I. Gil’ and published by Springer Science & Business Media. This book was released on 2013-02-14 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations with delay naturally arise in various applications, such as control systems, viscoelasticity, mechanics, nuclear reactors, distributed networks, heat flows, neural networks, combustion, interaction of species, microbiology, learning models, epidemiology, physiology, and many others. This book systematically investigates the stability of linear as well as nonlinear vector differential equations with delay and equations with causal mappings. It presents explicit conditions for exponential, absolute and input-to-state stabilities. These stability conditions are mainly formulated in terms of the determinants and eigenvalues of auxiliary matrices dependent on a parameter; the suggested approach allows us to apply the well-known results of the theory of matrices. In addition, solution estimates for the considered equations are established which provide the bounds for regions of attraction of steady states. The main methodology presented in the book is based on a combined usage of the recent norm estimates for matrix-valued functions and the following methods and results: the generalized Bohl-Perron principle and the integral version of the generalized Bohl-Perron principle; the freezing method; the positivity of fundamental solutions. A significant part of the book is devoted to the Aizerman-Myshkis problem and generalized Hill theory of periodic systems. The book is intended not only for specialists in the theory of functional differential equations and control theory, but also for anyone with a sound mathematical background interested in their various applications.

KWIC Index for Numerical Algebra

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Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis KWIC Index for Numerical Algebra by : Alston Scott Householder

Download or read book KWIC Index for Numerical Algebra written by Alston Scott Householder and published by . This book was released on 1972 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Magnetism V5

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Publisher : Elsevier
ISBN 13 : 0323151264
Total Pages : 417 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Magnetism V5 by : Harry Suhl

Download or read book Magnetism V5 written by Harry Suhl and published by Elsevier. This book was released on 2012-12-02 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magnetism, Volume V: Magnetic Properties of Metallic Alloys deals with the magnetic properties of metallic alloys and covers topics ranging from conditions favoring the localization of effective moments to the s-d model and the Kondo effect, along with perturbative, scattering, and Green's function theories of the s-d model. Asymptotically exact methods used in addressing the Kondo problem are also described. Comprised of 12 chapters, this volume begins with a review of experimental results and phenomenology concerning the formation of local magnetic moments in metals, followed by a Hartree-Fock description of local states. The intensive activity that followed Kondo's discovery of a serious divergence in the perturbative calculation of certain physical properties of magnetic alloys is described in detail. The parallel problems encountered when the matrix is superconducting are discussed from a theoretical viewpoint. The remaining chapters examine the coexistence of superconductivity and magnetism; magnetic hyperfine-interaction studies of the s-d model and the Kondo effect; functional integral methods for the problem of magnetic impurities; and magnetic moment effects in superconductors. This book will be of interest to students and practitioners in solid state physics.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1985 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Il Nuovo cimento

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Publisher :
ISBN 13 :
Total Pages : 640 pages
Book Rating : 4.U/5 (183 download)

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Book Synopsis Il Nuovo cimento by :

Download or read book Il Nuovo cimento written by and published by . This book was released on 1963 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Effect of Body Perturbations on Hypersonic Flow Over Slender Power Law Bodies

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Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Effect of Body Perturbations on Hypersonic Flow Over Slender Power Law Bodies by : Harold Mirels

Download or read book Effect of Body Perturbations on Hypersonic Flow Over Slender Power Law Bodies written by Harold Mirels and published by . This book was released on 1959 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Mechanics for Applied Physics and Engineering

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Publisher : Courier Corporation
ISBN 13 : 0486164691
Total Pages : 450 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Quantum Mechanics for Applied Physics and Engineering by : Albert T. Fromhold

Download or read book Quantum Mechanics for Applied Physics and Engineering written by Albert T. Fromhold and published by Courier Corporation. This book was released on 2012-07-26 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: For upper-level undergraduates and graduate students: an introduction to the fundamentals of quantum mechanics, emphasizing aspects essential to an understanding of solid-state theory. Numerous problems (and selected answers), projects, exercises.

The Quantum Mechanics of Many-Body Systems

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Publisher : Courier Corporation
ISBN 13 : 0486493571
Total Pages : 258 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis The Quantum Mechanics of Many-Body Systems by : D.J. Thouless

Download or read book The Quantum Mechanics of Many-Body Systems written by D.J. Thouless and published by Courier Corporation. This book was released on 2014-01-15 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Unabridged republication of the second edition of the work, originally published in the Pure and applied physics series by Academic Press, Inc., New York, in 1972"--Title page verso.

OAR Cumulative Index of Research Results

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Publisher :
ISBN 13 :
Total Pages : 1264 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis OAR Cumulative Index of Research Results by :

Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on 1967 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Assessing Bipedal Locomotion: Towards Replicable Benchmarks for Robotic and Robot-Assisted Locomotion

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Author :
Publisher : Frontiers Media SA
ISBN 13 : 2889632709
Total Pages : 217 pages
Book Rating : 4.8/5 (896 download)

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Book Synopsis Assessing Bipedal Locomotion: Towards Replicable Benchmarks for Robotic and Robot-Assisted Locomotion by : Diego Torricelli

Download or read book Assessing Bipedal Locomotion: Towards Replicable Benchmarks for Robotic and Robot-Assisted Locomotion written by Diego Torricelli and published by Frontiers Media SA. This book was released on 2019-12-24 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: