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Interpolation, Identification, and Sampling
ISBN: 9780198500247 / Angielski / Twarda / 288 str. This book applies functional analysis and complex analysis to problems of interpolation in spaces of analytic functions. It examines problems of recoveryproducing approximations to functions from measured values. These values may in turn be corrupted by small errors; the book discusses methods for producing good models using this partial and inaccurate information. The practical applications include systems identification, signal processing, and sampling. The book provides mathematical introductions to many important areas of current research, including H( control theory, sampling and...
This book applies functional analysis and complex analysis to problems of interpolation in spaces of analytic functions. It examines problems of recov...


cena:
1302,84 zł 
Best Approximation in Inner Product Spaces
ISBN: 9780387951560 / Angielski / Twarda / 338 str. This book evolved from notes originally developed for a graduate course, "Best Approximation in Normed Linear Spaces," that I began giving at Penn State Uni versity more than 25 years ago. It soon became evident. that many of the students who wanted to take the course (including engineers, computer scientists, and statis ticians, as well as mathematicians) did not have the necessary prerequisites such as a working knowledge of Lpspaces and some basic functional analysis. (Today such material is typically contained in the firstyear graduate course in analysis. ) To accommodate these...
This book evolved from notes originally developed for a graduate course, "Best Approximation in Normed Linear Spaces," that I began giving at Penn Sta...


cena:
369,98 zł 
Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
ISBN: 9780387970172 / Angielski / Twarda / 308 str. The term "weakly differentiable functions" in the title refers to those inte n grable functions defined on an open subset of R whose partial derivatives in the sense of distributions are either LP functions or (signed) measures with finite total variation. The former class of functions comprises what is now known as Sobolev spaces, though its origin, traceable to the early 1900s, predates the contributions by Sobolev. Both classes of functions, Sobolev spaces and the space of functions of bounded variation (BV func tions), have undergone considerable development during the past 20 years....
The term "weakly differentiable functions" in the title refers to those inte n grable functions defined on an open subset of R whose partial derivati...


cena:
347,25 zł 
G?teaux Differentiability of Convex Functions and Topology: Weak Asplund Spaces
ISBN: 9780471168225 / Angielski / Twarda / 180 str. This text puts together "folklore results" touching weak Asplund spaces. It presents a thorough examination of weak Asplund cases. Nonseparable Banach spaces, renorming, and differentiability are stressed throughout the text and all subclasses, including inferences and counterexamples are discussed. It also covers Stegall's classes, fragmentability, and "long sequences" of linear projections. Notes, remarks and questions end each chapter.
This text puts together "folklore results" touching weak Asplund spaces. It presents a thorough examination of weak Asplund cases. Nonseparable Banach...


cena:
661,17 zł 
Theory of Linear Operators in Hilbert Space
ISBN: 9780486677484 / Angielski / Miękka / 400 str. This classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, and presents in detail the geometry of Hilbert space and the spectral theory of unitary and selfadjoint operators. It is directed to students at graduate and advanced undergraduate levels, but because of the exceptional clarity of its theoretical presentation and the inclusion of results obtained by Soviet mathematicians, it should prove invaluable for every mathematician and physicist. 1961, 1963 edition.
This classic textbook by two mathematicians from the USSR's prestigious Kharkov Mathematics Institute introduces linear operators in Hilbert space, an...


cena:
62,23 zł 
Geometry of Banach Spaces: Proceedings of the Conference Held in Strobl, Austria 1989
ISBN: 9780521408509 / Angielski / Miękka / 288 str. This volume reflects the progress made in many branches of recent research in Banach space theory, an analytic approach to geometry. Including papers by most of the leading figures in the area, it is intended to illustrate the interplay of Banach space theory with harmonic analysis, probability, complex function theory, and finite dimensional convexity theory. The papers consist of a selection of surveys and original research.
This volume reflects the progress made in many branches of recent research in Banach space theory, an analytic approach to geometry. Including papers ...


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313,48 zł 
Hilbert Space: Compact Operators and the Trace Theorem
ISBN: 9780521429337 / Angielski / Miękka / 144 str. The aim of this book is to provide the reader with a virtually selfcontained treatment of Hilbert space theory leading to an elementary proof of the Lidskij trace theorem. The author assumes the reader is familiar with linear algebra and advanced calculus, and develops everything needed to introduce the ideas of compact, selfadjoint, HilbertSchmidt and trace class operators. Many exercises and hints are included, and throughout the emphasis is on a userfriendly approach.
The aim of this book is to provide the reader with a virtually selfcontained treatment of Hilbert space theory leading to an elementary proof of the ...


cena:
176,28 zł 
Function Spaces, Entropy Numbers, Differential Operators
ISBN: 9780521560368 / Angielski / Twarda / 268 str. 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 nspace and on domains; ii) entropy numbers in quasiBanach spaces; and iii) the distribution of the eigenvalues of degenerate elliptic (pseudo) differential operators. The treatment is largely selfcontained and...
The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Recent advances have shed new light on classical pro...


cena:
620,42 zł 
A Short Course on Banach Space Theory
ISBN: 9780521603720 / Angielski / Miękka / 184 str. This short course on classical Banach space theory is a natural followup to a first course on functional analysis. The topics covered have proven useful in many contemporary research arenas, such as harmonic analysis, the theory of frames and wavelets, signal processing, economics, and physics. The book is intended for use in an advanced topics course or seminar, or for independent study. It offers a more userfriendly introduction than can be found in the existing literature and includes references to expository articles and suggestions for further reading.
This short course on classical Banach space theory is a natural followup to a first course on functional analysis. The topics covered have proven use...


cena:
284,04 zł 
Fredholm Theory in Banach Spaces
ISBN: 9780521604932 / Angielski / Miękka / 304 str. Presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind.
Presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind.


cena:
313,48 zł 
Orthonormal Systems and Banach Space Geometry
ISBN: 9780521624626 / Angielski / Twarda / 564 str. Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of superreflexivity. The text yields a detailed insight into concepts including type and cotype of...
Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysi...


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1185,32 zł 
Introduction to the Analysis of Normed Linear Spaces
ISBN: 9780521653756 / Angielski / Miękka / 180 str. 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...


cena:
468,74 zł 
A Short Course on Banach Space Theory
ISBN: 9780521842839 / Angielski / Twarda / 184 str. This short course on classical Banach space theory is a natural followup to a first course on functional analysis. The topics covered have proven useful in many contemporary research arenas, such as harmonic analysis, the theory of frames and wavelets, signal processing, economics, and physics. The book is intended for use in an advanced topics course or seminar, or for independent study. It offers a more userfriendly introduction than can be found in the existing literature and includes references to expository articles and suggestions for further reading.
This short course on classical Banach space theory is a natural followup to a first course on functional analysis. The topics covered have proven use...


cena:
528,99 zł 
Weight Theory for Integral Transforms on Spaces of Homogeneous Type
ISBN: 9780582302952 / Angielski / Twarda / 410 str. This volume gives an account of the current state of weight theory for integral operators, such as maximal functions, Riesz potential, singular integrals and their generalization in Lorentz and Orlicz spaces. Starting with the crucial concept of a space of homogeneous type, it continues with general criteria for the boundedness of the integral operators considered, then address special settings and applications to classical operators in Euclidean spaces.
This volume gives an account of the current state of weight theory for integral operators, such as maximal functions, Riesz potential, singular integr...


984,91 zł 
Integral Transforms, Reproducing Kernels and Their Applications
ISBN: 9780582317581 / Angielski / Twarda / 296 str. This volume is essentially a selfcontained presentation of the theory of reproducing kernels in connection with integral transforms in the framework of Hilbert spaces. It is a general and fundamental concept and a potentially powerful theory combined with the integral transforms. A variety of concrete results of its application are given systematically for isometrical identities and inversion formulas for various typical integral transforms, best approximation theories of functions, analytic extension formulas, real inversion formulas for the Laplace transform, inverse source problems,...
This volume is essentially a selfcontained presentation of the theory of reproducing kernels in connection with integral transforms in the framework ...


cena:
708,03 zł 
Hardy Spaces on Homogeneous Groups. (Mn28), Volume 28
ISBN: 9780691083100 / Angielski / Miękka / 286 str. The object of this monograph is to give an exposition of the realvariable theory of Hardy spaces (H^{P} spaces). This theory has attracted considerable attention in recent years because it led to a better understanding in R^{n} of such related topics as singular integrals, multiplier operators, maximal functions, and realvariable methods generally. Because of its fruitful development, a systematic exposition of some of the main parts of the theory is now desirable. In addition to this exposition, these notes contain a recasting of the theory in the more general setting... The object of this monograph is to give an exposition of the realvariable theory of Hardy spaces (H^{P} spaces). This theory has attracted... 

cena:
486,31 zł 
Seminar on Transformation Groups. (Am46), Volume 46
ISBN: 9780691090948 / Angielski / Miękka / 245 str. The description for this book, Seminar on Transformation Groups. (AM46), Volume 46, will be forthcoming. The description for this book, Seminar on Transformation Groups. (AM46), Volume 46, will be forthcoming. 

cena:
359,35 zł 
Advances in the Theory of Frchet Spaces
ISBN: 9780792304357 / Angielski / Twarda / 364 str. Frechet spaces have been studied since the days of Banach. These spaces, their inductive limits and their duals played a prominent role in the development of the theory of locally convex spaces. Also they are natural tools in many areas of real and complex analysis. The pioneering work of Grothendieck in the fifties has been one of the important sources of inspiration for research in the theory of Frechet spaces. A structure theory of nuclear Frechet spaces emerged and some important questions posed by Grothendieck were settled in the seventies. In particular, subspaces and quotient spaces of...
Frechet spaces have been studied since the days of Banach. These spaces, their inductive limits and their duals played a prominent role in the develop...


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1142,88 zł 
KtheBochner Function Spaces
ISBN: 9780817635213 / Angielski / Twarda / 370 str. This monograph isdevoted to a special area ofBanach space theorythe Kothe Bochner function space. Two typical questions in this area are: Question 1. Let E be a Kothe function space and X a Banach space. Does the KotheBochner function space E(X) have the DunfordPettis property if both E and X have the same property? If the answer is negative, can we find some extra conditions on E and (or) X such that E(X) has the DunfordPettis property? Question 2. Let 1 p 00, E a Kothe function space, and X a Banach space. Does either E or X contain an lpsequence ifthe KotheBochner function space E(X)...
This monograph isdevoted to a special area ofBanach space theorythe Kothe Bochner function space. Two typical questions in this area are: Question 1....


cena:
506,37 zł 
Continuous Functions of Vector Variables
ISBN: 9780817642730 / Angielski / Miękka / 210 str. This text is appropriate for a onesemester course in what is usually called ad vanced calculus of several variables. The focus is on expanding the concept of continuity; specifically, we establish theorems related to extreme and intermediate values, generalizing the important results regarding continuous functions of one real variable. We begin by considering the function f(x, y, ... ) of multiple variables as a function of the single vector variable (x, y, ... ). It turns out that most of the n treatment does not need to be limited to the finitedimensional spaces R, so we will often place...
This text is appropriate for a onesemester course in what is usually called ad vanced calculus of several variables. The focus is on expanding the co...


cena:
233,58 zł 