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A Harmonic operator in the Dirac system
... able. The results were extended to Hölder continuous analytic functions by Kaufman and Wu in []. Then, the sets satisfying a certain geometric condition related to Minkowski dimension were shown to be removable for ... See full document
10
The relation between A harmonic operator and A Dirac system
... A-harmonic operator arises from Dirac systems under controllable growth ...A-Dirac system with controllable growth conditions, we establish the fact that an A-harmonic ... See full document
10
Regularity theory on A harmonic system and A Dirac system
... A-harmonic system (.) and the A-Dirac system ...A-Dirac system. It means that we should know the properties of an A-harmonic operator and an A-Dirac ... See full document
14
Hermitean Téodorescu Transform Decomposition of Continuous Matrix Functions on Fractal Hypersurfaces
... Euclidean Dirac equation, the fundamental group invariance of this system breaks down to a smaller group; it was shown in 6 that it concerns the unitary group Un; ...complex Dirac operators was ... See full document
15
Analytical Solutions of the 1D Dirac Equation Using the Tridiagonal Representation Approach
... one-dimensional Dirac equation using the Tridiagonal Representation Ap- proach ...wave operator. This will transform the problem from solving a system of coupled first order differential equations to ... See full document
21
EXISTENCE OF TIME OPERATOR FOR A SINGULAR HARMONIC OSCILLATOR
... CM system with free particle and similarity transformation which relates CS model with harmonic oscillator are used to construct relevant op- erators starting from known ones; T 0 corresponding to free ... See full document
11
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
Incomplete inverse spectral and nodal problems for Dirac operator
... tant mathematical tools used in communication engineering, the Whittaker-Kotel’nikov- Shannon (WKS) sampling theorem is viewed as the fundamental result in information the- ory [–]. In the past years, this sampling ... See full document
12
Atiyah-Patodi-Singer index theorem for domain-wall fermion Dirac operator
... The common feature in these systems is the existence of a massless fermion excitation at the boundary in the case when the massive fermion at the bulk is in the symmetry protected topological (SPT) phase. One can show ... See full document
8
A Harmonic Equations and the Dirac Operator
... Hence when u is a function, 3.13 implies that Ax, ∇u is a harmonic field and locally there exists a harmonic function H such that Ax, ∇u ∇H. If Ax, ξ is invertible, then ∇u A −1 x, ∇H. Hence regularity of A ... See full document
9
NEW CLASSES OF HARMONIC FUNCTIONS DEFINED BY FRACTIONAL OPERATOR
... real harmonic functions in the simply connected domain Ω, then the con- tinuous function f = u + iv defined in Ω is said to be harmonic in ...are harmonic univalent and sense-preserving in the open ... 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
Distribution of the Dirac modes in QCD
... the Dirac operator are strongly a ff ected by SBCS, the higher-lying modes are subject to confinement ...overlap Dirac operator from quark propagators ... See full document
7
On discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions
... discontinuous Dirac operator with eigenparameter dependent boundary and two transmission ...resolvent operator, and to prove some uniqueness ... See full document
19
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 been ... See full document
9
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
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
Semi Commutative Differential Operators Associated with the Dirac Opetator and Darboux Transformation
... 1-dimensional Dirac operator are ...recursion operator associated with the hierarchy of the mKdV (−) polynomials is constructed by the al- gebraic ... See full document
5
NN-Harmonic Mean Aggregation Operators Based MCGDM Strategy in Neutrosophic Number Environment
... neutrosophic number weighted harmonic mean operator (NNWHMO); cosine function, score.. 31.[r] ... See full document
14
A Rigorous Geometric Derivation of the Chiral Anomaly in Curved Backgrounds
... Lorentzian Dirac operator with certain boundary ...Lorentzian Dirac operators have significantly different analytic properties from elliptic Dirac operators in Euclidean ...hyperbolic ... See full document
18
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