Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Theory of H(b) Spaces: Volume 1 PDF full book. Access full book title The Theory of H(b) Spaces: Volume 1 by Emmanuel Fricain. Download full books in PDF and EPUB format.
Author: Emmanuel Fricain Publisher: Cambridge University Press ISBN: 1316060918 Category : Mathematics Languages : en Pages : 703
Book Description
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.
Author: Emmanuel Fricain Publisher: Cambridge University Press ISBN: 1316060918 Category : Mathematics Languages : en Pages : 703
Book Description
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.
Author: Emmanuel Fricain Publisher: ISBN: 9781316363324 Category : Analytic functions Languages : en Pages : 619
Book Description
In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.
Author: Matthias Langer Publisher: Springer Science & Business Media ISBN: 3764375167 Category : Mathematics Languages : en Pages : 381
Book Description
A colloquium on operator theory was held in Vienna, Austria, in March 2004, on the occasion of the retirement of Heinz Langer, a leading expert in operator theory and indefinite inner product spaces. The book contains fifteen refereed articles reporting on recent and original results in various areas of operator theory, all of them related with the work of Heinz Langer. The topics range from abstract spectral theory in Krein spaces to more concrete applications, such as boundary value problems, the study of orthogonal functions, or moment problems. The book closes with a historical survey paper.
Author: Emmanuel Fricain Publisher: Cambridge University Press ISBN: 1107027780 Category : Mathematics Languages : en Pages : 641
Book Description
In two volumes, this comprehensive treatment covers all that is needed to understand and appreciate this beautiful branch of mathematics.
Author: J. Frölich Publisher: Springer Science & Business Media ISBN: 1461534720 Category : Science Languages : en Pages : 528
Book Description
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.
Author: Hans Triebel Publisher: Springer Science & Business Media ISBN: 3034604157 Category : Science Languages : en Pages : 286
Book Description
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
Author: Nick Wilson Publisher: Routledge ISBN: 1317432177 Category : Philosophy Languages : en Pages : 240
Book Description
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.
Author: Gerald B. Folland Publisher: Princeton University Press ISBN: 9780691083100 Category : Mathematics Languages : en Pages : 302
Book Description
The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention in recent years because it led to a better understanding in Rn of such related topics as singular integrals, multiplier operators, maximal functions, and real-variable 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 where the underlying Rn is replaced by a homogeneous group. The justification for this wider scope comes from two sources: 1) the theory of semi-simple Lie groups and symmetric spaces, where such homogeneous groups arise naturally as "boundaries," and 2) certain classes of non-elliptic differential equations (in particular those connected with several complex variables), where the model cases occur on homogeneous groups. The example which has been most widely studied in recent years is that of the Heisenberg group.
Author: Matilde Marcolli Publisher: World Scientific ISBN: 9814475629 Category : Science Languages : en Pages : 516
Book Description
This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to theoretical physics and number theory.
Author: Emmanuel Fricain
Author: Emmanuel Fricain
Author: Emmanuel Fricain
Author: Matthias Langer
Author: Emmanuel Fricain
Author: J. Frölich
Author: Nachman Aronszajn
Author: Hans Triebel
Author: Nick Wilson
Author: Gerald B. Folland
Author: Matilde Marcolli