Results 21 to 30 of about 28,571 (151)
Hermitian clifford analysis [PDF]
, 2015 This paper gives an overview of some basic results on Hermitian Clifford analysis, a refinement of classical Clifford analysis dealing with functions in the kernel of two mutually adjoint Dirac operators invariant under the action of the unitary group ...
A Damiano +22 more
core +1 more source
Lipschitz-Type and Bloch-Type Spaces of Pluriharmonic Mappings in a Hilbert Space
Journal of Function Spaces, 2017 We investigate some properties of pluriharmonic mappings in an infinite dimensional complex Hilbert space. Several characterizations for pluriharmonic mappings to be in Lipschitz-type and Bloch-type spaces are given, which are generalizations of the ...
Yong Liu
doaj +1 more source
Self Duality and Quantization [PDF]
, 1992 Quantum theory of the free Maxwell field in Minkowski space is constructed using a representation in which the self dual connection is diagonal. Quantum states are now holomorphic functionals of self dual connections and a decomposition of fields into ...
Abhay Ashtekar +17 more
core +3 more sources
On `maximal' poles of zeta functions, roots of b-functions and monodromy Jordan blocks [PDF]
, 2008 The main objects of study in this paper are the poles of several local zeta functions: the Igusa, topological and motivic zeta function associated to a polynomial or (germ of) holomorphic function in n variables.
A. Melle-Hernández +21 more
core +5 more sources
Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
Axioms, 2019 In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
doaj +1 more source
A discrete Bochner-Martinelli formula [PDF]
, 2011 In the even dimensional case the discrete Dirac equation may be reduced to the so-called discrete isotonic Dirac system in which suitable Dirac operators appear from both sides in half the dimension.
Bory-Reyes, Juan, Sommen, Franciscus
core +2 more sources
Zhejiang Daxue xuebao. Lixue ban, 2016 Supposing that α>0,let g be holomorphic functions in the unit ball B and µ(r) be a normal function on [0,1). Some questions of extended Cesàro operators are studied from µ-Bloch spaces to Zygmund type spaces in the unit ball. By the methods of functional
ZHAOYanhui(赵艳辉)
doaj +1 more source
Analyticity properties and thermal effects for general quantum field theory on de Sitter space-time [PDF]
, 1998 We propose a general framework for quantum field theory on the de Sitter space-time (i.e. for local field theories whose truncated Wightman functions are not required to vanish).
Bros, Jacques +2 more
core +3 more sources
Fractal and FractionalThe paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with independent variables, which are generalizations of associated continued fractions and Jacobi ...
Roman Dmytryshyn, Serhii Sharyn
doaj +1 more source
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source