標(biāo)題: Titlebook: Clifford Algebras and their Applications in Mathematical Physics; Volume 2: Clifford A John Ryan,Wolfgang Spr??ig Book 2000 Springer Scienc [打印本頁] 作者: incoherent 時(shí)間: 2025-3-21 16:06
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作者: chondromalacia 時(shí)間: 2025-3-21 20:31 作者: STING 時(shí)間: 2025-3-22 01:03 作者: AND 時(shí)間: 2025-3-22 06:20
https://doi.org/10.1057/9780230618404We develop a Borel-Pompeiu formula for functions in several complex variables using Clifford analysis. The obtained formula contains the BochnerMartinelli formula and additional information. The Borel-Pompeiu formula will be used for a new inverse scattering transform in multidimensions.作者: finale 時(shí)間: 2025-3-22 11:56
Vivienne Bozalek,Michalinos ZembylasIn this paper we present an extension of Clifford analysis using commuting as well as anti-commuting variables, thus following the lines of thinking of super-symmetry. However, it turns out that on the level of abstract vector variables, the calculus remains the same.作者: conceal 時(shí)間: 2025-3-22 16:19 作者: conceal 時(shí)間: 2025-3-22 17:56
On Quaternionic Beltrami EquationsOne of the most interesting partial differential equations in complex analysis is the Beltrami equation. We will give an overview of possible generalizations of this equation in case of quaternions together with properties of these equations.作者: coltish 時(shí)間: 2025-3-22 21:49
Quaternionic Analysis in Fluid MechanicsWe give a survey of problems in fluid mechanics which could be considered successfully by methods from quaternionic analysis. In particular we study a special problem where stationary Navier-Stokes equations are combined with field induction.作者: mutineer 時(shí)間: 2025-3-23 02:36
A Borel-Pompeiu Formula in ?, and Its Application to Inverse Scattering TheoryWe develop a Borel-Pompeiu formula for functions in several complex variables using Clifford analysis. The obtained formula contains the BochnerMartinelli formula and additional information. The Borel-Pompeiu formula will be used for a new inverse scattering transform in multidimensions.作者: Outwit 時(shí)間: 2025-3-23 06:09
An Extension of Clifford Analysis Towards Super-symmetryIn this paper we present an extension of Clifford analysis using commuting as well as anti-commuting variables, thus following the lines of thinking of super-symmetry. However, it turns out that on the level of abstract vector variables, the calculus remains the same.作者: quiet-sleep 時(shí)間: 2025-3-23 10:29
The Structure of Monogenic FunctionsWe study the structure of monogenic functions using symmetries of the Dirac operator.作者: Antecedent 時(shí)間: 2025-3-23 17:01 作者: 菊花 時(shí)間: 2025-3-23 20:11 作者: 流動(dòng)才波動(dòng) 時(shí)間: 2025-3-23 23:33 作者: 泥沼 時(shí)間: 2025-3-24 05:13 作者: Blatant 時(shí)間: 2025-3-24 09:01 作者: 侵略者 時(shí)間: 2025-3-24 11:18
The Democratic Republic of the Congoes with metrics of arbitrary signatures. In particular, we derive expressions for those isometry operators which correspond to coordinate parallelograms that can be continuously shrunk to zero. The isometry operators are expressed in terms of infinite series which are defined by two recursion relati作者: 揭穿真相 時(shí)間: 2025-3-24 17:03
Palgrave Critical University Studiesodel of particle physics in a unified way. In this frame the fundamental objects are generalized Dirac operators, and the geometrical setup is that of a Clifford module bundle over an even dimensional closed Riemannian manifold.作者: relieve 時(shí)間: 2025-3-24 20:16
Samantha Champagnie,Janis L. Gogan definition of the Schwarzian is not clear. In this paper, we introduce a “natural” generalization of the Schwarzian using the Clifford algebra and show that it vanishes exactly for M?bius transformations. The situation is simplest for non-singular transformations of the Euclidean space although the作者: Enteropathic 時(shí)間: 2025-3-25 02:38
Fred Niederman,Elizabeth White Bakerector functions . = .( .., .) + .( .) .( .., .), where . and . are real-valued. The equation . splits into two parts. One of them depends only on x.,.. This leads to a system of partial differential equations which coincides with the system defining hypermonogenic functions. These functions arise fo作者: 步履蹣跚 時(shí)間: 2025-3-25 03:33 作者: NOTCH 時(shí)間: 2025-3-25 10:14 作者: AVERT 時(shí)間: 2025-3-25 12:45
1544-9998 Overview: 978-1-4612-7119-2978-1-4612-1374-1Series ISSN 1544-9998 Series E-ISSN 2197-1846 作者: 微不足道 時(shí)間: 2025-3-25 17:27
Responsibility and Social Action, the compactification,?. U ∞, of ?.. With the aid of Green function we solve the Dirichlet problem for the non-homogeneous Laplace-Beltrami equation. Then we show that for the Laplace-Beltrami equation (which is a degenerate elliptic type) there exists twice continuously differentiable solutions on the entire space including infinity.作者: scoliosis 時(shí)間: 2025-3-25 20:55
https://doi.org/10.1007/978-3-030-04366-7chitz surfaces. We show that the singular integrals in each case form an operator algebra identical to the bounded holomorphic Fourier multipliers and the Cauchy-Dunford bounded holomorphic functional calculus of the associated Dirac operator in the context considered here.作者: 搏斗 時(shí)間: 2025-3-26 01:33 作者: saturated-fat 時(shí)間: 2025-3-26 05:01
The Democratic Republic of the Congoes with metrics of arbitrary signatures. In particular, we derive expressions for those isometry operators which correspond to coordinate parallelograms that can be continuously shrunk to zero. The isometry operators are expressed in terms of infinite series which are defined by two recursion relations.作者: FOLLY 時(shí)間: 2025-3-26 11:35
Palgrave Critical University Studiesodel of particle physics in a unified way. In this frame the fundamental objects are generalized Dirac operators, and the geometrical setup is that of a Clifford module bundle over an even dimensional closed Riemannian manifold.作者: 噴出 時(shí)間: 2025-3-26 15:51
Lecture Notes in Computer Scienceonogenic functions) the existence of a monogenic derivative does not directly follow. We show that if some relation between higher order differential forms are introduced then, (as in the complex case) the conjugated Cauchy-Riemann operator again gives the monogenic derivative of a monogenic function in ?.作者: 埋伏 時(shí)間: 2025-3-26 17:53
The M?bius Transformation, Green Function and the Degenerate Elliptic Equation the compactification,?. U ∞, of ?.. With the aid of Green function we solve the Dirichlet problem for the non-homogeneous Laplace-Beltrami equation. Then we show that for the Laplace-Beltrami equation (which is a degenerate elliptic type) there exists twice continuously differentiable solutions on the entire space including infinity.作者: arsenal 時(shí)間: 2025-3-26 23:53 作者: 從容 時(shí)間: 2025-3-27 04:04 作者: GROUP 時(shí)間: 2025-3-27 05:42 作者: DEAWL 時(shí)間: 2025-3-27 09:53
The Geometry of Generalized Dirac Operators and the Standard Model of Particle Physicsodel of particle physics in a unified way. In this frame the fundamental objects are generalized Dirac operators, and the geometrical setup is that of a Clifford module bundle over an even dimensional closed Riemannian manifold.作者: 土產(chǎn) 時(shí)間: 2025-3-27 14:20
Hypercomplex Derivability — The Characterization of Monogenic Functions in ?, by Their Derivativeonogenic functions) the existence of a monogenic derivative does not directly follow. We show that if some relation between higher order differential forms are introduced then, (as in the complex case) the conjugated Cauchy-Riemann operator again gives the monogenic derivative of a monogenic function in ?.作者: finale 時(shí)間: 2025-3-27 19:02 作者: gonioscopy 時(shí)間: 2025-3-28 01:52 作者: STING 時(shí)間: 2025-3-28 03:12
The M?bius Transformation, Green Function and the Degenerate Elliptic Equation the compactification,?. U ∞, of ?.. With the aid of Green function we solve the Dirichlet problem for the non-homogeneous Laplace-Beltrami equation. Then we show that for the Laplace-Beltrami equation (which is a degenerate elliptic type) there exists twice continuously differentiable solutions on 作者: 無價(jià)值 時(shí)間: 2025-3-28 09:15 作者: phytochemicals 時(shí)間: 2025-3-28 13:30 作者: 結(jié)構(gòu) 時(shí)間: 2025-3-28 15:54 作者: 恫嚇 時(shí)間: 2025-3-28 22:44
Complex-Distance Potential Theory and Hyperbolic Equationsial is generated by an extended source distribution . in ?. whose restriction to ?. is the point source δ(.). This provides a possible model for extended particles in physics. In ?., interpreted as complex ., b acts as a . generating solutions of the wave equation from their initial values. This giv作者: 耐寒 時(shí)間: 2025-3-28 23:52
Specific Representations for Members of the Holonomy Groupes with metrics of arbitrary signatures. In particular, we derive expressions for those isometry operators which correspond to coordinate parallelograms that can be continuously shrunk to zero. The isometry operators are expressed in terms of infinite series which are defined by two recursion relati作者: SLAG 時(shí)間: 2025-3-29 05:12
The Geometry of Generalized Dirac Operators and the Standard Model of Particle Physicsodel of particle physics in a unified way. In this frame the fundamental objects are generalized Dirac operators, and the geometrical setup is that of a Clifford module bundle over an even dimensional closed Riemannian manifold.作者: GNAW 時(shí)間: 2025-3-29 08:49 作者: 心胸開闊 時(shí)間: 2025-3-29 13:55
On the Radial Part of the Cauchy-Riemann Operatorector functions . = .( .., .) + .( .) .( .., .), where . and . are real-valued. The equation . splits into two parts. One of them depends only on x.,.. This leads to a system of partial differential equations which coincides with the system defining hypermonogenic functions. These functions arise fo作者: blister 時(shí)間: 2025-3-29 18:57 作者: 木質(zhì) 時(shí)間: 2025-3-29 22:18
Samantha Champagnie,Janis L. Goganow that it vanishes exactly for M?bius transformations. The situation is simplest for non-singular transformations of the Euclidean space although the framework can be applied, with as light modification, to maps as general as immersions between any Riemannian manifolds.作者: 600 時(shí)間: 2025-3-30 01:20 作者: Parley 時(shí)間: 2025-3-30 07:36 作者: 人類學(xué)家 時(shí)間: 2025-3-30 08:53 作者: IST 時(shí)間: 2025-3-30 13:26 作者: Graduated 時(shí)間: 2025-3-30 17:46
Richard H. Cooper,Juliette Vo?nov Kohlert induces a similar connection between solutions of elliptic and hyperbolic Dirac equations. There is a natural application to the time-dependent, inhomogeneous Dirac and Maxwell equations, and the “electromagnetic wavelets” introduced previously are an example.作者: insecticide 時(shí)間: 2025-3-30 22:36 作者: 駕駛 時(shí)間: 2025-3-31 02:48
Richard H. Cooper,Juliette Vo?nov Kohlerdimensional generalizations in the setting of Clifford analysis of a classical inequality in one-variable complex function theory due to Ahlfors and Beurling and some extensions of Alexander’s inequality.作者: 高爾夫 時(shí)間: 2025-3-31 05:11
Clifford Algebras and their Applications in Mathematical PhysicsVolume 2: Clifford A作者: 大包裹 時(shí)間: 2025-3-31 10:23
10樓作者: 運(yùn)動(dòng)的我 時(shí)間: 2025-3-31 14:26
10樓作者: V洗浴 時(shí)間: 2025-3-31 20:41
10樓
