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Operators Between Sequence Spaces and Applications
ISBN: 9789811597442 / Angielski / Miękka / 388 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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Analysis and Quantum Groups
ISBN: 9783031072451 / Angielski / Twarda Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups, bringing the reader to the frontiers of present-day research. The exposition includes a substantial amount of material on functional analysis and operator algebras, subjects which in themselves have become increasingly important with the advent of quantum information theory. In particular, the rather unfamiliar modular theory of weights plays a crucial role in the theory, due to the presence of ‘Haar integrals’ on locally compact quantum groups, and is thus treated... This volume presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups, bringing the reader to the... |
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Combined Measure and Shift Invariance Theory of Time Scales and Applications
ISBN: 9783031116186 / Angielski / Twarda / 434 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales. First proposed by S. Hilger, the time scale theory-a unified view of continuous and discrete analysis-has been widely used to...
This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functi...
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Combined Measure and Shift Invariance Theory of Time Scales and Applications
ISBN: 9783031116216 / Angielski / Miękka Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales. First proposed by S. Hilger, the time scale theory—a unified view of continuous and discrete analysis—has...
This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functi...
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Variational Theory of Splines
ISBN: 9780306466427 / Angielski / Twarda / 280 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Th e vari a t i on al s p li ne t heo ry w h ic h orig i na t es from th e w ell-kn own p ap er b y J. e . Hollid a y ( 1957) i s t od a y a we ll- deve lo pe d fi eld in a p pr o x - mat i o n t he o ry . T he ge ne ra l d efinition of s p l i nes in t he Hilb er t s pace, - i st ence, uniquen e s s, and ch ar a c t eriz a tion t he o re ms w ere obt ain ed a b o ut 35 ye a r s ago b y M . A t t ei a, P . J . Laur en t, a n d P . M. An selon e, bu t in r e cent y e a r s important n e w r esult s h a v e b e en ob t ain ed in th e a bst ract va r i a t i o n a l s p l i ne theor y .
Th e vari a t i on al s p li ne t heo ry w h ic h orig i na t es from th e w ell-kn own p ap er b y J. e . Hollid a y ( 1957) i s t od a y a we ll- de...
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Almost Automorphic and Almost Periodic Functions in Abstract Spaces
ISBN: 9780306466861 / Angielski / Twarda / 138 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner. It also applies the results obtained to study almost automorphic solutions of abstract differential equations, expanding the core topics with a plethora of groundbreaking new results and applications. For the sake of clarity, and to spare the reader unnecessary technical hurdles, the concepts are studied using... Almost Automorphic and Almost Periodic Functions in Abstract Spaces introduces and develops the theory of almost automorphic vector-valued... |
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Noncommutative Dynamics and E-Semigroups
ISBN: 9780387001517 / Angielski / Twarda / 434 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. These days, the term Noncommutative Dynamics has several interpretations. It is used in this book to refer to a set of phenomena associated with the dynamical evo- lution of quantum systems of the simplest kind that involve rigorous mathematical structures associated with infinitely many degrees of freedom. The dynamics of such a system is represented by a one-parameter group of automorphisms of a non- commutative algebra of observables, and we focus primarily on the most concrete case in which that algebra consists of all bounded operators on a Hilbert space. If one introduces a natural...
These days, the term Noncommutative Dynamics has several interpretations. It is used in this book to refer to a set of phenomena associated with the d...
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Simultaneous Triangularization
ISBN: 9780387984667 / Angielski / Miękka / 319 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A collection of matrices is said to be triangularizable if there is an invertible matrix S such that S1 AS is upper triangular for every A in the collection. This generalization of commutativity is the subject of many classical theorems due to Engel, Kolchin, Kaplansky, McCoy and others. The concept has been extended to collections of bounded linear operators on Banach spaces: such a collection is defined to be triangularizable if there is a maximal chain of subspaces of the Banach space, each of which is invariant under every member of the collection. Most of the classical results have been...
A collection of matrices is said to be triangularizable if there is an invertible matrix S such that S1 AS is upper triangular for every A in the coll...
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Vector-Valued Functions and Their Applications
ISBN: 9780792316053 / Angielski / Twarda / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is the first to be devoted to the theory of vector-valued functions with one variable. This theory is one of the fundamental tools employed in modern physics, the spectral theory of operators, approximation of analytic operators, analytic mappings between vectors, and vector-valued functions of several variables.
The book contains three chapters devoted to the theory of normal functions, Hp-space, and vector-valued functions and their applications. Among the topics dealt with are the properties of complex functions in a complex plane and... This book is the first to be devoted to the theory of vector-valued functions with one variable. This theory is one of the fundamental tools employed ...
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Functions of Completely Regular Growth
ISBN: 9780792316770 / Angielski / Twarda / 392 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. "Et moi9 .., ' si j*avait su comment en revenir, je One service mathematics has rendered the n 'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded nonsense'. The series is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought A highly necessary tool in a world where both feedback and nonlineari ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci ences. Applying a...
"Et moi9 .., ' si j*avait su comment en revenir, je One service mathematics has rendered the n 'y serais point alle.' human race. It has put common se...
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P-Adic Valued Distributions in Mathematical Physics
ISBN: 9780792331728 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Numbers ..., natural, rational, real, complex, p-adic .... What do you know about p-adic numbers? Probably, you have never used any p-adic (nonrational) number before now. I was in the same situation few years ago. p-adic numbers were considered as an exotic part of pure mathematics without any application. I have also used only real and complex numbers in my investigations in functional analysis and its applications to the quantum field theory and I was sure that these number fields can be a basis of every physical model generated by nature. But recently new models of the quantum physics...
Numbers ..., natural, rational, real, complex, p-adic .... What do you know about p-adic numbers? Probably, you have never used any p-adic (nonrationa...
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Representation of Lie Groups and Special Functions: Recent Advances
ISBN: 9780792332107 / Angielski / Twarda / 504 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1991-1993 our three-volume book "Representation of Lie Groups and Spe cial Functions" was published. When we started to write that book (in 1983), editors of "Kluwer Academic Publishers" expressed their wish for the book to be of encyclopaedic type on the subject. Interrelations between representations of Lie groups and special functions are very wide. This width can be explained by existence of different types of Lie groups and by richness of the theory of their rep resentations. This is why the book, mentioned above, spread to three big volumes. Influence of representations of Lie groups...
In 1991-1993 our three-volume book "Representation of Lie Groups and Spe cial Functions" was published. When we started to write that book (in 1983), ...
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Opial Inequalities with Applications in Differential and Difference Equations
ISBN: 9780792333654 / Angielski / Twarda / 398 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality involving integrals of a function and its derivative. This volume offers a systematic and up-to-date account of developments in Opial-type inequalities. The book presents a complete survey of results in the field, starting with Opial's landmark paper, traversing through its generalizations, extensions and discretizations. Some of the important applications of these inequalities in the theory of differential and difference equations, such as uniqueness of solutions of boundary value problems, and upper bounds...
In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality involving integrals of a function and its derivative. This volume...
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Haar Series and Linear Operators
ISBN: 9780792340065 / Angielski / Twarda / 224 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1909 Alfred Haar introduced into analysis a remarkable system which bears his name. The Haar system is a complete orthonormal system on 0,1] and the Fourier-Haar series for arbitrary continuous function converges uniformly to this function.
This volume is devoted to the investigation of the Haar system from the operator theory point of view. The main subjects treated are: classical results on unconditional convergence of the Haar series in modern presentation; Fourier-Haar coefficients; reproducibility; martingales; monotone bases in rearrangement invariant spaces; rearrangements... In 1909 Alfred Haar introduced into analysis a remarkable system which bears his name. The Haar system is a complete orthonormal system on 0,1] and t...
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Elliptic Boundary Value Problems in the Spaces of Distributions
ISBN: 9780792343035 / Angielski / Twarda / 420 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. (2) Green's functions were constructed and studied for general elliptic boundary-va lue problems ( BeRI]- Ber3], Kovl], and Kov2]). (3) Generalized eigenfunctions, spectral function, etc., were investigated in spectral theory Ber]. (4) Elliptic boundary-value problems with arbitrary power singularities on the right hand sides were investigated ( Roi6], Kos2, ] and Ser)). (5) A family of elliptic problems was studied in a family of expanding domains; the obtained results were applied to the investigation of elliptic problems with time deriva tives in the boundary conditions and parabolic...
(2) Green's functions were constructed and studied for general elliptic boundary-va lue problems ( BeRI]- Ber3], Kovl], and Kov2]). (3) Generalized ...
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Singular Quadratic Forms in Perturbation Theory
ISBN: 9780792356257 / Angielski / Twarda / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The notion of singular quadratic form appears in mathematical physics as a tool for the investigation of formal expressions corresponding to perturbations devoid of operator sense. Numerous physical models are based on the use of Hamiltonians containing perturba tion terms with singular properties. Typical examples of such expressions are Schrodin ger operators with O-potentials (- + AD) and Hamiltonians in quantum field theory with perturbations given in terms of operators of creation and annihilation (P("
The notion of singular quadratic form appears in mathematical physics as a tool for the investigation of formal expressions corresponding to perturbat...
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Integration on Infinite-Dimensional Surfaces and Its Applications
ISBN: 9780792361336 / Angielski / Twarda / 272 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. It seems hard to believe, but mathematicians were not interested in integration problems on infinite-dimensional nonlinear structures up to 70s of our century. At least the author is not aware of any publication concerning this theme, although as early as 1967 L. Gross mentioned that the analysis on infinite dimensional manifolds is a field of research with rather rich opportunities in his classical work 2. This prediction was brilliantly confirmed afterwards, but we shall return to this later on. In those days the integration theory in infinite dimensional linear spaces was essentially...
It seems hard to believe, but mathematicians were not interested in integration problems on infinite-dimensional nonlinear structures up to 70s of our...
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Analytic Extension Formulas and Their Applications
ISBN: 9780792369509 / Angielski / Twarda / 288 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Analytic Extension is a mysteriously beautiful property of analytic functions. With this point of view in mind the related survey papers were gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, several complex variables, scattering theory, sampling theory, and analytic number theory, to name a few.
Audience: Researchers and graduate students in complex analysis, partial differential equations,... Analytic Extension is a mysteriously beautiful property of analytic functions. With this point of view in mind the related survey papers were gathered...
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Köthe-Bochner Function Spaces
ISBN: 9780817635213 / Angielski / Twarda / 370 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This monograph isdevoted to a special area ofBanach space theory-the 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 Kothe-Bochner function space E(X) have the Dunford-Pettis 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 Dunford-Pettis property? Question 2. Let 1 p 00, E a Kothe function space, and X a Banach space. Does either E or X contain an lp-sequence ifthe Kothe-Bochner function space E(X)...
This monograph isdevoted to a special area ofBanach space theory-the Kothe Bochner function space. Two typical questions in this area are: Question 1....
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Harmonic Analysis and Applications: In Honor of John J. Benedetto
ISBN: 9780817637781 / Angielski / Twarda / 408 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume is dedicated to John Benedetto. It seems just yesterday that we celebrated his 60th birthday in a memorable conference in College Park. Yet that was October of 1999, and already more than six years have passed. But John is still too young to be fully honored by a single foreword, or even a singlevolume, thatattemptstosummarizetheimpactofhisworkonharmonic analysis, his students, and his coworkers.Given his continuing high (and even increasing) level of activities, his list of "lifetime achievements" is surely far from complete. Even so, we will make an attempt in this foreword to...
This volume is dedicated to John Benedetto. It seems just yesterday that we celebrated his 60th birthday in a memorable conference in College Park. Ye...
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