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Absolutely Summing Operators
ISBN: 9780521431682 / Angielski / Twarda / 492 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. We can best understand many fundamental processes in analysis by studying and comparing the summability of series in various modes of convergence. This text provides the reader with basic knowledge of real and functional analysis, with an account of p-summing and related operators. The account is panoramic, with detailed expositions of the core results and highly relevant applications to harmonic analysis, probability and measure theory, and operator theory. This is the first time that the subject and its applications have been presented in such complete detail in book form. Graduate students...
We can best understand many fundamental processes in analysis by studying and comparing the summability of series in various modes of convergence. Thi...
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cena:
490,52 |
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Exercises in Fourier Analysis
ISBN: 9780521438490 / Angielski / Miękka / 396 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Fourier analysis is an indispensable tool for physicists, engineers and mathematicians. A wide variety of the techniques and applications of fourier analysis are discussed in Dr. Korner's highly popular book, An Introduction to Fourier Analysis (1988). In this book, Dr. Korner has compiled a collection of exercises on Fourier analysis that will thoroughly test the reader's understanding of the subject. They are arranged chapter by chapter to correspond with An Introduction to Fourier Analysis, and for all who enjoyed that book, this companion volume will be an essential purchase.
Fourier analysis is an indispensable tool for physicists, engineers and mathematicians. A wide variety of the techniques and applications of fourier a...
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cena:
273,78 |
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Families of Exponentials: The Method of Moments in Controllability Problems for Distributed Parameter Systems
ISBN: 9780521452434 / Angielski / Twarda / 324 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In this book, the authors present the newly developed theory of non-harmonic Fourier series and its applications to the control of distributed parameter systems, and they extend the theory to include vector exponential series. The first part of the book presents the modern theory of exponentials, using an operator theory approach. The second extends and upgrades the method of moments--one of the most powerful tools in the flourishing theory of the control of distributed parameter systems. They then go on to discuss the controllability of systems described by parabolic and hyperbolic PDE's for...
In this book, the authors present the newly developed theory of non-harmonic Fourier series and its applications to the control of distributed paramet...
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cena:
536,63 |
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Introduction to HP Spaces
ISBN: 9780521455213 / Angielski / Twarda / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The first edition of this well-known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete point of view (in the unit circle and the half plane). This second edition retains many of the features found in the first--detailed computation, an emphasis on methods--but greatly extends its coverage. The discussions of conformal mapping now include Lindelof's second theorem and the one due to Kellogg. A simple derivation of the atomic decomposition for RH1 is given, and then used to provide an alternative proof of Fefferman's duality theorem....
The first edition of this well-known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete poin...
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cena:
536,63 |
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Designs and Their Codes
ISBN: 9780521458399 / Angielski / Miękka / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of those applications together with a thorough general introduction to both design theory and coding theory developing the relationship between the two areas. The first half of the book contains background material in design theory, including symmetric designs and designs from affine and projective geometry, and in coding theory, coverage of most of the important classes of linear codes. In particular, the authors provide a new treatment of the...
Algebraic coding theory has in recent years been increasingly applied to the study of combinatorial designs. This book gives an account of many of tho...
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cena:
370,62 |
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Potential Theory in the Complex Plane
ISBN: 9780521466547 / Angielski / Miękka / 244 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analysis. This is reflected in the large number of applications, which include Picard's theorem, the Phragmen-Lindelof principle, the Rado-Stout theorem, Lindelof's theory of asymptotic values, the Riemann mapping theorem (including continuity at the boundary), the Koebe one-quarter theorem, Hilbert's lemniscate theorem, and the sharp quantitative form of Runge's theorem. In addition, there is a chapter on connections with functional analysis and...
Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analys...
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cena:
246,10 |
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Invariant Potential Theory in the Unit Ball of Cn
ISBN: 9780521468305 / Angielski / Miękka / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph covers Poisson-Szego integrals on the ball, the Green's function for DEGREESD*D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. It also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Greens potentials. Applications of some of the results to Hp spaces, and...
This monograph covers Poisson-Szego integrals on the ball, the Green's function for DEGREESD*D and the Riesz decomposition theorem for invariant subha...
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cena:
226,16 |
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A Primer of Nonlinear Analysis
ISBN: 9780521485739 / Angielski / Miękka / 180 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differentiable mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems...
This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two...
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cena:
218,43 |
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Harmonic Approximation
ISBN: 9780521497992 / Angielski / Miękka / 148 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic account of these developments, beginning with classical results concerning uniform approximation on compact sets, and progressing through fusion techniques to deal with approximation on unbounded sets. The author draws inspiration from holomorphic results such as the well-known theorems of Runge and Mergelyan. The final two chapters deal with wide ranging and surprising applications to the Dirichlet problem, maximum principle, Radon transform and...
Harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic acc...
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cena:
226,16 |
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A Primer of Algebraic D-Modules
ISBN: 9780521551199 / Angielski / Twarda / 220 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications, avoiding all unnecessary technicalities. The author takes an algebraic approach, concentrating on the role of the Weyl algebra. The author assumes very few prerequisites, and the book is virtually self-contained. The author includes exercises at the end of each chapter and gives the reader ample references to the more advanced...
The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to divers...
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cena:
573,53 |
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A Primer of Algebraic D-Modules
ISBN: 9780521559089 / Angielski / Miękka / 220 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to diverse areas such as singularity theory and representation theory. This book introduces D-modules and their applications, avoiding all unnecessary technicalities. The author takes an algebraic approach, concentrating on the role of the Weyl algebra. The author assumes very few prerequisites, and the book is virtually self-contained. The author includes exercises at the end of each chapter and gives the reader ample references to the more advanced...
The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to divers...
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cena:
223,04 |
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Function Spaces, Entropy Numbers, Differential Operators
ISBN: 9780521560368 / Angielski / Twarda / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new light on classical problems in this area, and this book presents a fresh approach, largely based on the results of the authors. The emphasis here is on a topic of central importance in analysis, namely the relationship between i) function spaces on Euclidean n-space and on domains; ii) entropy numbers in quasi-Banach spaces; and iii) the distribution of the eigenvalues of degenerate elliptic (pseudo) differential operators. The treatment is largely self-contained and...
The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new light on classical pro...
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cena:
536,63 |
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Banach Spaces for Analysts
ISBN: 9780521566759 / Angielski / Miękka / 400 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introduction to modern Banach space theory, in which applications to other areas such as harmonic analysis, function theory, orthogonal series, and approximation theory are also given prominence. The author begins with a discussion of weak topologies, weak compactness, and isomorphisms of Banach spaces before proceeding to the more detailed study of particular spaces. The book is intended to be used with graduate courses in Banach space theory, so the prerequisites are a background in functional, complex, and real analysis. As the only introduction to the modern theory of Banach...
This is an introduction to modern Banach space theory, in which applications to other areas such as harmonic analysis, function theory, orthogonal ser...
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cena:
246,10 |
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A Mathematical Introduction to Wavelets
ISBN: 9780521570206 / Angielski / Twarda / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analyzing functions and function spaces, both in one and in several variables. Starting with a detailed and self-contained discussion of the general construction of one dimensional wavelets from multiresolution analysis, the book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets with compact support. It then moves to the corresponding multivariable theory and gives genuine multivariable examples. The author discusses wavelet decompositions in Lp...
This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analyzing functions and function spaces, both in...
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cena:
513,58 |
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A Mathematical Introduction to Wavelets
ISBN: 9780521578943 / Angielski / Miękka / 276 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analyzing functions and function spaces, both in one and in several variables. Starting with a detailed and self-contained discussion of the general construction of one dimensional wavelets from multiresolution analysis, the book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets with compact support. It then moves to the corresponding multivariable theory and gives genuine multivariable examples. The author discusses wavelet decompositions in Lp...
This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analyzing functions and function spaces, both in...
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cena:
250,72 |
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The James Forest
ISBN: 9780521587600 / Angielski / Miękka / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The James space J and the James tree space JT were constructed as counterexamples to several outstanding conjectures in Banach space theory. This book is a compendium of most of the known results about these spaces, frequently taken from the original sources, but presented in a unified and up-to-date fashion. Generalizations of J and JT are also discussed and other pathological Banach spaces are introduced. Specialists will welcome this book for its drawing together of classical material and recent results. Graduate students should also find that this book offers an excellent introduction to...
The James space J and the James tree space JT were constructed as counterexamples to several outstanding conjectures in Banach space theory. This book...
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cena:
315,27 |
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The Logarithmic Integral: Volume 1
ISBN: 9780521596725 / Angielski / Miękka / 628 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The theme of this unique work, the logarithmic integral, lies athwart much of twentieth century analysis. It is a thread connecting many apparently separate parts of the subject, and is a natural point at which to begin a serious study of real and complex analysis. Professor Koosis' aim is to show how, from simple ideas, one can build up an investigation that explains and clarifies many different, seemingly unrelated problems; to show, in effect, how mathematics grows. The presentation is straightforward, so this, the first of two volumes, is self-contained, but more importantly, by following...
The theme of this unique work, the logarithmic integral, lies athwart much of twentieth century analysis. It is a thread connecting many apparently se...
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cena:
361,39 |
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Introduction to the Analysis of Normed Linear Spaces
ISBN: 9780521653756 / Angielski / Miękka / 296 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text is ideal for a basic course in functional analysis for senior undergraduate and beginning postgraduate students. John Giles provides insight into basic abstract analysis, which is now the contextual language of much modern mathematics. Although it is assumed that the student has familiarity with elementary real and complex analysis, linear algebra, and the analysis of metric spaces, the book does not assume a knowledge of integration theory or general topology. Its central theme concerns structural properties of normed linear spaces in general, especially associated with dual spaces...
This text is ideal for a basic course in functional analysis for senior undergraduate and beginning postgraduate students. John Giles provides insight...
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cena:
278,39 |
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Linear Analysis: An Introductory Course
ISBN: 9780521655774 / Angielski / Miękka / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who have had some background in real analysis. The author's aim is not just to cover the standard material in a standard way, but to present results of application in contemporary mathematics and to show the relevance of functional analysis to other areas. Unusual topics covered include the geometry of finite-dimensional spaces, invariant subspaces, fixed-point theorems, and the Bishop-Phelps theorem. An outstanding feature is the large number of...
Now revised and updated, this brisk introduction to functional analysis is intended for advanced undergraduate students, typically final year, who hav...
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cena:
236,88 |
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Trigonometric Series: Volumes I & II Combines
ISBN: 9780521890533 / Angielski / Miękka / 784 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Professor Zygmund's Trigonometric Series, first published in Warsaw in 1935, established itself as a classic. It presented a concise account of the main results then known, but on a scale that limited the amount of detailed discussion possible. A greatly enlarged second edition (Cambridge, 1959) published in two volumes took full account of developments in trigonometric series, Fourier series, and related branches of pure mathematics since the publication of the original edition. These two volumes, bound together with a foreword from Robert Fefferman, outline the significance of this text....
Professor Zygmund's Trigonometric Series, first published in Warsaw in 1935, established itself as a classic. It presented a concise account of the ma...
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cena:
458,24 |
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