Results 31 to 40 of about 1,317,588 (284)

Higher-Loop Integrability in N=4 Gauge Theory [PDF]

open access: yes, 2004
The dilatation operator measures scaling dimensions of local operator in a conformal field theory. Algebraic methods of constructing the dilatation operator in four-dimensional N=4 gauge theory are reviewed. These led to the discovery of novel integrable
Arutyunov   +20 more
core   +3 more sources

Approximation by a generalized class of Dunkl type Szász operators based on post quantum calculus

open access: yesJournal of Inequalities and Applications, 2019
The main purpose of this paper is to introduce a generalized class of Dunkl type Szász operators via post quantum calculus on the interval [12,∞) $[ \frac{1}{2},\infty )$.
Abdullah Alotaibi
doaj   +1 more source

Half-String Approach to Closed String Field Theory [PDF]

open access: yes, 1993
In this letter we present an operator formalism for Closed String Field Theory based on closed half-strings. Our results indicate that the restricted polyhedra of the classical non-polynomial string field theory, can be represented as traces of infinite ...
A. Abdurrahman   +20 more
core   +4 more sources

Starlikness Associated with Cosine Hyperbolic Function

open access: yesMathematics, 2020
The main contribution of this article is to define a family of starlike functions associated with a cosine hyperbolic function. We investigate convolution conditions, integral preserving properties, and coefficient sufficiency criteria for this family ...
Abdullah Alotaibi   +3 more
doaj   +1 more source

On the Spectral Theory of Operator Measures

open access: yesFunctional Analysis and Its Applications, 2002
In the first section we provide a solution to the M. G. Krein problem about an inner description of the space $L_2(Σ,H).$ In the second section we introduce the multiplicity function for an operator measure. Making use of the description of the space $L_2(Σ,H)$ we establish the correctness of the definition and give a criterion for a spectral measure ...
Malamud, M. M., Malamud, S. M.
openaire   +3 more sources

Linear isomorphic spaces of fractional-order difference operators

open access: yesAlexandria Engineering Journal, 2021
In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces.
S.A. Mohiuddine   +3 more
doaj   +1 more source

Composite Operators and Topological Contributions in Gauge Theory [PDF]

open access: yes, 2001
In $D$-dimensional gauge theory with a kinetic term based on the p-form tensor gauge field, we introduce a gauge invariant operator associated with the composite formed from a electric $(p-1)$-brane and a magnetic $(q-1)$-brane in $D=p+q+1$ spacetime ...
Han, Yeong Deok, Lee, Jungjai
core   +3 more sources

On dilatation operator for a renormalizable theory

open access: yes, 2007
Given a renormalizable theory we construct the dilatation operator, in the sense of generator of RG flow of composite operators. The generator is found as a differential operator acting on the space of normal symbols of composite operators in the theory.
A. Zaffaroni   +19 more
core   +1 more source

Applications of Hilbert Module Approach to Multivariable Operator Theory

open access: yes, 2014
A commuting $n$-tuple $(T_1, \ldots, T_n)$ of bounded linear operators on a Hilbert space $\clh$ associate a Hilbert module $\mathcal{H}$ over $\mathbb{C}[z_1, \ldots, z_n]$ in the following sense: \[\mathbb{C}[z_1, \ldots, z_n] \times \mathcal{H ...
A. Arias   +70 more
core   +1 more source

Operator theory on the pentablock

open access: yesJournal of Mathematical Analysis and Applications
The pentablock, denoted as $\cP,$ is defined as follows: $$\cP= \left\{ (a_{21}, {\rm tr}(A), {\rm det}(A)) : A = [a_{ij}]_{2 \times 2} \text{ with } \|A\|<1 \right\}.$$ It originated from the work of Agler--Lykova--Young in connection with a particular case of the $μ$-synthesis problem.
Jindal, A, Kumar, P
openaire   +4 more sources

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