Sinossi
At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. This book collects refereed papers from a satellite conference to the ICM 2002, plus invited contributions. All articles contain unpublished new results.
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Contenuti
A. Differential Equations and Operator Theory.- Hodge Decompositions on Weakly Lipschitz Domains.- Monogenic Functions of Bounded Mean Oscillation in the Unit Ball.- Bp,q-Functions and their Harmonic Majorants.- Spherical Means and Distributions in Clifford Analysis.- Hypermonogenic Functions and their Cauchy-Type Theorems.- On Series Expansions of Hyperholomorphic BqFunctions.- Pointwise Convergence of Fourier Series on the Unit Sphere of R4with the Quaternionic Setting.- Cauchy Kernels for some Conformally Flat Manifolds.- Clifford Analysis on the Space of Vectors, Bivectors and ?-vectors.- B. Global Analysis and Differential Geometry.- Universal Bochner-Weitzenböck Formulas for Hyper-Kählerian Gradients.- Cohomology Groups of Harmonic Spinors on Conformally Flat Manifolds.- Spin Geometry, Clifford Analysis, and Joint Seminormality.- A Mean Value Laplacian for Strongly Kähler―Finsler Manifolds.- C. Applications.- Non-commutative Determinants and Quaternionic Monge-Ampère Equations.- Galpern―Sobolev Type Equations with Non-constant Coefficients.- A Theory of Modular Forms in Clifford Analysis, their Applications and Perspectives.- Automated Geometric Theorem Proving, Clifford Bracket Algebra and Clifford Expansions.- Quaternion-valued Smooth Orthogonal Wavelets with Short Support and Symmetry.
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Advances in Analysis and Geometry: New Developments Using Clifford Algebras (Trends in Mathematics)
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Advances in Analysis and Geometry: New Developments Using Clifford Algebras (Trends in Mathematics)
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Advances in Analysis and Geometry
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Springer, Basel, Birkhäuser Basel, Birkhäuser Apr 2004, 2004
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -On the 16th of October 1843, Sir William R. Hamilton made the discovery of the quaternion algebra H = qo + qli + q2j + q3k whereby the product is determined by the defining relations 2 2 1 Z =] = - , ij = -ji = k. In fact he was inspired by the beautiful geometric model of the complex numbers in which rotations are represented by simple multiplications z ----t az. His goal was to obtain an algebra structure for three dimensional visual space with in particular the possibility of representing all spatial rotations by algebra multiplications and since 1835 he started looking for generalized complex numbers (hypercomplex numbers) of the form a + bi + cj. It hence took him a long time to accept that a fourth dimension was necessary and that commutativity couldn't be kept and he wondered about a possible real life meaning of this fourth dimension which he identified with the scalar part qo as opposed to the vector part ql i + q2j + q3k which represents a point in space. 376 pp. Englisch. Codice articolo 9783764366612
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains most recent results and surveys of the state of the art in the disciplineBased on an ICM 2002 Satellite Meeting on Clifford Analysis and Its Applications in MacauAt the heart of Clifford analysis is the study of systems of spec. Codice articolo 5279485
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Advances in Analysis and Geometry
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Condizione: New. At the heart of Clifford analysis is the study of systems of special partial differential operators that arise naturally from the use of Clifford algebra as a calculus tool. This book focuses on the study of Dirac operators and related ones, together with applications in mathematics, physics and engineering. Editor(s): Qian, Tao; Hempfling, Thomas; McIntosh, Alan; Sommen, Frank; Sommen, Franciscus. Series: Trends in Mathematics. Num Pages: 391 pages, biography. BIC Classification: PBF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 235 x 155 x 25. Weight in Grams: 830. . 2004. Hardback. . . . . Codice articolo V9783764366612
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Advances in Analysis and Geometry | New Developments Using Clifford Algebras
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Buch. Condizione: Neu. Advances in Analysis and Geometry | New Developments Using Clifford Algebras | Tao Qian (u. a.) | Buch | xv | Englisch | 2004 | Birkhäuser | EAN 9783764366612 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 102472086
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Advances in Analysis and Geometry
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This volume is dedicated to analytic and geometric aspects of Clifford analysis and its applications. There are two sources of papers in this collection. One is a satellite conference to the ICM 2002 in Beijing, held August 15-18 at the University of Macau; and the other source are invited contributions by experts in the field. All articles were strictly refereed and contain previously unpublished new results, some include comprehensive surveys. Including applications to articificial intelligence, number theory, numerical analysis and physics, the book will be a unique resource for postgraduates and researchers in a large number of disciplines.Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 396 pp. Englisch. Codice articolo 9783764366612
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Advances in Analysis and Geometry : New Developments Using Clifford Algebras
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - On the 16th of October 1843, Sir William R. Hamilton made the discovery of the quaternion algebra H = qo + qli + q2j + q3k whereby the product is determined by the defining relations 2 2 1 Z =] = - , ij = -ji = k. In fact he was inspired by the beautiful geometric model of the complex numbers in which rotations are represented by simple multiplications z ----t az. His goal was to obtain an algebra structure for three dimensional visual space with in particular the possibility of representing all spatial rotations by algebra multiplications and since 1835 he started looking for generalized complex numbers (hypercomplex numbers) of the form a + bi + cj. It hence took him a long time to accept that a fourth dimension was necessary and that commutativity couldn't be kept and he wondered about a possible real life meaning of this fourth dimension which he identified with the scalar part qo as opposed to the vector part ql i + q2j + q3k which represents a point in space. Codice articolo 9783764366612
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