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Titlebook: Clifford Algebras; Applications to Math Rafał Abłamowicz Book 2004 Birkhäuser Boston 2004 Algebra.Dirac operator.Eigenvalue.Lattice.Schrödi

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发表于 2025-3-21 16:10:26 | 显示全部楼层 |阅读模式
书目名称Clifford Algebras
副标题Applications to Math
编辑Rafał Abłamowicz
视频videohttp://file.papertrans.cn/228/227343/227343.mp4
概述Current volume consists of invited papers, all written by experts in the field.Covers a wide range of applications of Clifford algebras to pure mathematics, physics, and engineering.Ablamowicz has a g
丛书名称Progress in Mathematical Physics
图书封面Titlebook: Clifford Algebras; Applications to Math Rafał Abłamowicz Book 2004 Birkhäuser Boston 2004 Algebra.Dirac operator.Eigenvalue.Lattice.Schrödi
描述.The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to geometry, analysis, physics, and engineering. Divided into five parts, the book‘s first section is devoted to Clifford analysis; here, topics encompass the Morera problem, inverse scattering associated with the Schrödinger equation, discrete Stokes equations in the plane, a symmetric functional calculus, Poincaré series, differential operators in Lipschitz domains, Paley-Wiener theorems and Shannon sampling, Bergman projections, and quaternionic calculus for a class of boundary value problems.. .A careful discussion of geometric applications of Clifford algebras follows, with papers on hyper-Hermitian manifolds, spin structures and Clifford bundles, differential forms on conformal manifolds, connection and torsion, Casimir elements and Bochner identities on Riemannian manifolds, Rarita-Schwinger operators, and the interface between noncommutative geometry and physics. In addition, attention is paid to the algebraic and Lie-theoretic applications of Clifford algebras---particularly their intersection with Hopf algebras, Lie algebras and representations, graded algebras, a
出版日期Book 2004
关键词Algebra; Dirac operator; Eigenvalue; Lattice; Schrödinger equation; Spinor; calculus; differential equation
版次1
doihttps://doi.org/10.1007/978-1-4612-2044-2
isbn_softcover978-1-4612-7393-6
isbn_ebook978-1-4612-2044-2Series ISSN 1544-9998 Series E-ISSN 2197-1846
issn_series 1544-9998
copyrightBirkhäuser Boston 2004
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发表于 2025-3-21 21:54:50 | 显示全部楼层
1544-9998 cs. In addition, attention is paid to the algebraic and Lie-theoretic applications of Clifford algebras---particularly their intersection with Hopf algebras, Lie algebras and representations, graded algebras, a978-1-4612-7393-6978-1-4612-2044-2Series ISSN 1544-9998 Series E-ISSN 2197-1846
发表于 2025-3-22 04:23:34 | 显示全部楼层
https://doi.org/10.1007/978-94-011-2866-7 be holomorphic in Ω. Namely the vanishing of all the integrals ∫..(.) ., where γ is an arbitrary Jordan curve in Ω whose interior also lies in Ω. The Morera problem consists in finding relatively small families Γ of Jordan curves such that the vanishing of the corresponding integrals still ensures
发表于 2025-3-22 04:58:29 | 显示全部楼层
Response of Trees to CO2 Increase,d the representation of holomorphic functions obtained in the context of Clifford analysis to study the inverse scattering problem for an .-dimensional Schròdinger-type equation. Equations are found for reconstructing the potential from scattering data purely by quadratures. The solution also helps
发表于 2025-3-22 10:34:49 | 显示全部楼层
https://doi.org/10.1007/978-1-4612-1256-0s equations, respectively. The Cauchy—Riemann operator will be approximated by certain finite difference operators. Approximations of the classical .-operator as well as for the Bergman projections are constructed in such a way that the algebraic properties of the operators from complex function the
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发表于 2025-3-22 17:51:19 | 显示全部楼层
Katsuhiro Shiono,Mikio Nakazono—Rochberg, and Djrbashian to Clifford analysis. The main result is as follows: Let .. be the orthogonal projection from the Hilbert space ..( mathbb{B} , .., ..) onto the subspace of monogenic functions ..( mathbb{B} , .., ... If .(α + 1) > β + 1 with 1 ≤ . < ∞ and α,β > - 1, then the operator .. :
发表于 2025-3-22 22:30:29 | 显示全部楼层
Phanthasin Kanthavong,Jun-Ichi Sakagamispecial type of hyper-Hermitian metrics on a hypercomplex manifold related to some questions in theoretical physics. In particular, we show that there is a local existence of such metrics based on an HKT-potential theory, a moment map and reduction theory, as well as a global non-existence property.
发表于 2025-3-23 02:17:56 | 显示全部楼层
Perspectives on Geographical Marginalityth ., . ξ ..(.). Each of these forms will be symmetric on . and ., conformally invariant, and such that ∫ ...Ω.(.., ..) defines a Hochschild 2-cocycle over the algebra .. (.). In the particular 6-dimensional conformally flat case, we compute a unique form satisfying Wres(..[.,.][., .])=∫...Ω.(., .)
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