[PDF] Top 20 A Harmonic Equations and the Dirac Operator
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A Harmonic Equations and the Dirac Operator
... the Dirac system, under appropriate ...the Dirac system is an A-harmonic ...the Dirac system are a special class of A-harmonic ... See full document
9
Regularity theory on A harmonic system and A Dirac system
... In this paper, we assume that the solutions of the A-harmonic system (.) and the A-Dirac system (.) exist [] and establish the regularity result directly. In other words, the main purpose of this paper ... See full document
14
Operator Representation of Fermi Dirac and Bose Einstein Integral Functions with Applications
... Transform techniques are extremely powerful tools for dealing with functions and con- structing solutions of equations. In particular, the Weyl transform, which is at the heart of the “fractional calculus,” has ... See full document
9
On discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions
... and Dirac operators with transmission condi- tions are investigated in some papers (see [, –] and the corresponding ...differential equations with the spectral parameter and transmission conditions ... See full document
19
Hermitean Cauchy Integral Decomposition of Continuous Functions on Hypersurfaces
... Clifford analysis essentially is a higher dimensional function theory offering both a generalization of the theory of holomorphic functions in the complex plane and a refinement of classical multidimensional ... See full document
16
The relation between Maxwell, Dirac, and the Seiberg Witten equations
... monopole equations arises naturally from the MDE of the first kind once a reasonable hypothesis is ...those equations. Indeed, we prove that when the Dirac-Hestenes spinor field satisfying the first of ... See full document
28
Discontinuous Galerkin Finite Element Methods for the time harmonic Maxwell equations in periodic media
... In the eigenvalue problem, we want to compute the smallest eigenvalues for many different values of k. Since the matrices can be constructed by first constructing the matrices for k = 0 and then multiplying every entry ... See full document
57
Hermitean Téodorescu Transform Decomposition of Continuous Matrix Functions on Fractal Hypersurfaces
... Clifford analysis is a higher-dimensional function theory offering a generalization of the theory of holomorphic functions in the complex plane and, at the same time, a refinement of classical harmonic analysis. The ... See full document
15
The relation between A harmonic operator and A Dirac system
... In order to discover the relation between A-harmonic equations and A-Dirac systems, we should remove singularity of solutions to A-Dirac systems at first. Thus, various regu- larity properties ... See full document
10
A Harmonic operator in the Dirac system
... A-harmonic operator arises from A-Dirac systems under natural growth ...A-harmonic equations are the real part of the corresponding A-Dirac ... See full document
10
Multivalent Harmonic Function Associated With Salagean Operator
... In this paper we define , a class HM(u,v a) of m-valent harmonic functions involving.. Salagean Operator 15 D m is defined and studied.[r] ... See full document
9
EXISTENCE OF TIME OPERATOR FOR A SINGULAR HARMONIC OSCILLATOR
... time operator conjugate to a given Hamiltonian is a longstanding problem of quantum ...an operator cannot be self-adjoint if the spectrum of a self- adjoint Hamiltonian is bounded from ...self-adjoint ... See full document
11
On Group Invariant Solutions to the Maxwell Dirac equations
... di¤erential equations, the very notion through which Lie groups were discovered by Lie ...di¤erential equations that produce other solutions of the same equations is called a transformation group of ... See full document
18
Multivalent HARMONIC FUNCTION associated with SALAGEAN OPERATOR
... In this paper we define , a class HM(u,v a) of m-valent harmonic functions involving.. Salagean Operator 15 D m is defined and studied.[r] ... See full document
9
Unified Field Theory in a Nutshell—Elicit Dreams of a Final Theory Series
... field equations are written down and in § (8), it is shown that as a result of the tensorial nature of the affinities, it is possible to get rid of the non-linear terms of the resulting curvature tensor, thereby ... See full document
35
The Dirac operator on certain homogenous spaces and representations of some lie groups
... the tensor product of a discrete series representation for a non-compact semi-simple Lie group G, and a finite-dimensional representation.. His results on the infinitesimal characters of[r] ... See full document
179
NEW CLASSES OF HARMONIC FUNCTIONS DEFINED BY FRACTIONAL OPERATOR
... In 1984 Clunie and Sheil-Small [5] investigated the class SH as well as its geometric subclasses and obtained some coefficient bounds. Since then, there has been several related papers on SH and its subclasses studied by ... See full document
12
Multiplicative inequalities for weighted arithmetic and harmonic operator means
... Motivated by the above facts, we establish in this paper some multiplicative inequalities for weighted arithmetic and harmonic operator means under var- ious assumption for the positive invertible operators ... See full document
12
Harmonic Analysis Associated with the Generalized q-Bessel Operator
... In section 3, we give some facts about harmonic analysis related to the generalized q -Bessel operator ∆ q,α,n , we define the generalized q -Bessel transform and we give.. some propriet[r] ... See full document
7
Spectrum of the quadratic eigenparameter dependent discrete Dirac equations
... difference equations have been treated by various authors in con- nection with the classical moment problem (see the monographs of Agarwal [], Agarwal- Wong [] and Kelley-Peterson [] and the papers of Agarwal et ... See full document
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