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The Theory of H(b) Spaces: Volume 1

The Theory of H(b) Spaces: Volume 1
Author: Emmanuel Fricain
Publisher: Cambridge University Press
Total Pages: 703
Release: 2016-05-26
Genre: Mathematics
ISBN: 1316060918

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An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The second volume focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics.


The Theory of H(b) Spaces

The Theory of H(b) Spaces
Author: Emmanuel Fricain
Publisher:
Total Pages: 681
Release: 2016
Genre: MATHEMATICS
ISBN: 9781316072721

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The Theory of H ( b ) Spaces

The Theory of H ( b ) Spaces
Author: Emmanuel Fricain
Publisher: Cambridge University Press
Total Pages: 641
Release: 2016-10-20
Genre: Mathematics
ISBN: 1107027780

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In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.


Theory of Function Spaces

Theory of Function Spaces
Author: Hans Triebel
Publisher: Springer Science & Business Media
Total Pages: 286
Release: 2010-08-20
Genre: Science
ISBN: 3034604157

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The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where ‐∞s∞ and 0p,q≤∞, which include many classical and modern spaces, such as Hölder spaces, Zygmund classes, Sobolev spaces, Besov spaces, Bessel-potential spaces, Hardy spaces and spaces of BMO-type. It is the main aim of this book to give a unified treatment of the corresponding spaces on the Euclidean n-space Rsubn


A Theory of Cross-spaces

A Theory of Cross-spaces
Author: Robert Schatten
Publisher:
Total Pages: 174
Release: 1950
Genre: Mathematics
ISBN:

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New Symmetry Principles in Quantum Field Theory

New Symmetry Principles in Quantum Field Theory
Author: J. Frölich
Publisher: Springer Science & Business Media
Total Pages: 528
Release: 2012-12-06
Genre: Science
ISBN: 1461534720

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Soon after the discovery of quantum mechanics, group theoretical methods were used extensively in order to exploit rotational symmetry and classify atomic spectra. And until recently it was thought that symmetries in quantum mechanics should be groups. But it is not so. There are more general algebras, equipped with suitable structure, which admit a perfectly conventional interpretation as a symmetry of a quantum mechanical system. In any case, a "trivial representation" of the algebra is defined, and a tensor product of representations. But in contrast with groups, this tensor product needs to be neither commutative nor associative. Quantum groups are special cases, in which associativity is preserved. The exploitation of such "Quantum Symmetries" was a central theme at the Ad vanced Study Institute. Introductory lectures were presented to familiarize the participants with the al gebras which can appear as symmetries and with their properties. Some models of local field theories were discussed in detail which have some such symmetries, in par ticular conformal field theories and their perturbations. Lattice models provide many examples of quantum theories with quantum symmetries. They were also covered at the school. Finally, the symmetries which are the cause of the solubility of inte grable models are also quantum symmetries of this kind. Some such models and their nonlocal conserved currents were discussed.


The Space that Separates: A Realist Theory of Art

The Space that Separates: A Realist Theory of Art
Author: Nick Wilson
Publisher: Routledge
Total Pages: 240
Release: 2019-08-23
Genre: Philosophy
ISBN: 1317432177

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The Space that Separates: A Realist Theory of Art radically challenges our assumptions about what art is, what art does, who is doing it, and why it matters. Rejecting the modernist and market-driven misconception that art is only what artists do, Wilson instead presents a realist case for living artfully. Art is defined as the skilled practice of giving shareable form to our experiences of being-in-relation with the real; that is to say, the causally generative domain of the world that extends beyond our direct observation, comprising relations, structures, mechanisms, possibilities, powers, processes, systems, forces, values, ways of being. In communicating such aesthetic experience we behold life’s betweenness – "the space that separates", so coming to know ourselves as connected. Providing the first dedicated and comprehensive account of art and aesthetics from a critical realist perspective – Aesthetic Critical Realism (ACR), Wilson argues for a profound paradigm shift in how we understand and care for culture in terms of our system(s) of value recognition. Fortunately, we have just the right tool to help us achieve this transformation – and it’s called art. Offering novel explanatory accounts of art, aesthetic experience, value, play, culture, creativity, artistic truth and beauty, this book will appeal to a wide audience of students and scholars of art, aesthetics, human development, philosophy and critical realism, as well as cultural practitioners and policy-makers.


Banach Spaces of Continuous Functions as Dual Spaces

Banach Spaces of Continuous Functions as Dual Spaces
Author: H. G. Dales
Publisher: Springer
Total Pages: 277
Release: 2016-12-13
Genre: Mathematics
ISBN: 3319323490

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This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. The study of C_0(K) has been an important area of functional analysis for many years. It gives several new constructions, some involving Boolean rings, of this space as well as many results on the Stonean space of Boolean rings. The book also discusses when Banach spaces of continuous functions are dual spaces and when they are bidual spaces.


Empiricist Theories of Space

Empiricist Theories of Space
Author: Laura Berchielli
Publisher: Springer Nature
Total Pages: 223
Release: 2020-11-03
Genre: Science
ISBN: 3030576205

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This book explores the notions of space and extension of major early modern empiricist philosophers, especially Locke, Berkeley, Hume, and Condillac. While space is a central and challenging issue for early modern empiricists, literature on this topic is sparse. This collection shows the diversity and problematic unity of empiricist views of space. Despite their common attention to the content of sensorial experience and to the analytical method, empiricist theories of space vary widely both in the way of approaching the issue and in the result of their investigation. However, by recasting the questions and examining the conceptual shifts, we see the emergence of a programmatic core, common to what the authors discuss. The introductory chapter describes this variety and its common core. The other contributions provide more specific perspectives on the issue of space within the philosophical literature. This book offers a unique overview of the early modern understanding of these issues, of interest to historians of early modern philosophy, historians and philosophers of science, historians of ideas, and all readers who want to expand their knowledge of the empiricist tradition.