Results 51 to 60 of about 10,326,050 (296)

On some properties of the linear-invariant family of n-th order

Lietuvos Matematikos Rinkinys, 2023
In the work the linear-invariant family n-th order is determined. The omega-operator and the functionals related with it are introduced on this family. Their properties are studied.
Eduardas Kirjackis, Jevgenijus Kirjackis
doaj   +1 more source

The non-compact elliptic genus: mock or modular [PDF]

, 2010
We analyze various perspectives on the elliptic genus of non-compact supersymmetric coset conformal field theories with central charge larger than three.
A Cappelli, A Giveon, A Hanany, A Pakman, AN Schellekens, AN Schellekens, AN Schellekens, C Vafa, D Gepner, D Israel, D Israel, E Witten, E Witten, E Witten, EJ Martinec, I Bakas, J Polchinski, J Wess, Jan Troost, JM Maldacena, K Hori, K Miki, K Sfetsos, M Henningson, P Francesco Di, P Vecchia Di, P Vecchia Di, P Vecchia Di, PA Griffin, R Benichou, S Murthy, T Eguchi, T Eguchi, T Eguchi, T Eguchi, T Eguchi, T Eguchi, T Kawai, VK Dobrev, W Boucher   +39 more
core   +2 more sources

Finely holomorphic functions

Journal of Functional Analysis, 1980
AbstractLet O(U) denote the finely harmonic functions on U a finely open subset of C such that ∂g∂z̄ = 0 almost surely on U. Define Af(K) to be those g in C(K) such that if K′ is the fine interior of K then g ¦K′ is in O(K). We prove that Af(K) is invariant under the Vitushkin localization operators, i.e., it is T-invariant.
openaire   +3 more sources

Note on boundedness of the $L$-index in the direction of the composition of slice entire functions

Математичні Студії, 2022
We study a composition of two functions belonging to a class of slice holomorphic functions in the whole $n$-dimensional complex space. The slice holomorphy in the space means that for some fixed direction $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\
V. P. Baksa, A. I. Bandura, T. M. Salo, O. B. Skaskiv   +3 more
doaj   +1 more source

Stable rank in holomorphic function algebras

, 1985
The concept of the stable rank of a ring, introduced by H. Bass [1], has been very useful in treating some problems in algebraic K-theory. In this paper we show how this concept is related to the structure of a commutative Banach algebra A.
G. Corach, F. Suárez
semanticscholar   +1 more source

Differential and fuzzy differential sandwich theorems involving quantum calculus operators

Journal of Nigerian Society of Physical Sciences
The principle of subordination is useful in comparing two holomorphic functions when the range of one holomorphic function is a subset of the other and they comply at a single point.
I. R. Silviya, K. Muthunagai
doaj   +1 more source

Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted-Type Spaces

Journal of Inequalities and Applications, 2009
Let φ be a holomorphic self-map and let ψ be a holomorphic function on the unit ball B. The boundedness and compactness of the weighted composition operator ψCφ from the generalized weighted Bergman space into a class of ...
Dinggui Gu
doaj   +1 more source

Duality and mock modularity

SciPost Physics, 2020
We derive a holomorphic anomaly equation for the Vafa-Witten partition function for twisted four-dimensional $\mathcal{N} =4$ super Yang-Mills theory on $\mathbb{CP}^{2}$ for the gauge group $SO(3)$ from the path integral of the effective theory on ...
Atish Dabholkar, Pavel Putrov, Edward Witten
doaj   +1 more source

On the Łojasiewicz exponent of the gradient of a holomorphic function

, 1998
The Lojasiewicz exponent of the gradient of a convergent power series h(X,Y ) with complex coefficients is the greatest lower bound of the set of λ > 0 such that the inequality |gradh(x, y)| ≥ c|(x, y)| holds near 0 ∈ C for a certain c > 0. In the paper,
A. Lenarcik
semanticscholar   +1 more source

Holomorphic extension of generalizations of Hp functions

International Journal of Mathematics and Mathematical Sciences, 1985
In recent analysis we have defined and studied holomorphic functions in tubes in ℂn which generalize the Hardy Hp functions in tubes. In this paper we consider functions f(z), z=x+iy, which are holomorphic in the tube TC=ℝn+iC, where C is the finite ...
Richard D. Carmichael
doaj   +1 more source