Results 41 to 50 of about 5,162,686 (175)

Holomorphic Extensions of Orthogonal Projections Into Holomorphic Functions [PDF]

Proceedings of the American Mathematical Society, 1975
A condition is given which insures that the orthogonal projection of a function into the holomorphic functions is holomorphically extendible across a given boundary point.
openaire   +1 more source

Linear law for the logarithms of the Riemann periods at simple critical zeta zeros [PDF]

, 2006
Each simple zero 1/2 + iγn of the Riemann zeta function on the critical line with γn > 0 is a center for the flow s˙ = ξ(s) of the Riemann xi function with an associated period Tn. It is shown that, as γn →∞, log Tn ≥ π/4 γn + O(log γn).
Barnett, A. Ross, Broughan, Kevin A.
core   +1 more source

Weighted Composition Operators from H∞ to the Bloch Space on the Polydisc

Abstract and Applied Analysis, 2007
Let Dn be the unit polydisc of ℂn, ϕ(z)=(ϕ1(z),…,ϕn(z)) be a holomorphic self-map of Dn, and ψ(z) a holomorphic function on Dn. Let H(Dn) denote the space of all holomorphic functions with domain Dn, H∞(Dn) the space of all bounded holomorphic functions ...
Songxiao Li, Stevo Stevic
doaj   +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

Functional equation of a special Dirichlet series

International Journal of Mathematics and Mathematical Sciences, 1987
In this paper we study the special Dirichlet series L(s)=23∑n=1∞sin(2πn3)n−s,  s∈C This series converges uniformly in the half-plane Re(s)>1 and thus represents a holomorphic function there.
Ibrahim A. Abou-Tair
doaj   +1 more source

Holomorphic waves of black hole microstructure

Journal of High Energy Physics, 2020
We obtain the largest families constructed to date of 1 8 $$ \frac{1}{8} $$ -BPS solutions of type IIB supergravity. They have the same charges and mass as supersymmetric D1-D5-P black holes, but they cap off smoothly with no horizon.
Pierre Heidmann, Daniel R. Mayerson, Robert Walker, Nicholas P. Warner   +3 more
doaj   +1 more source

Holomorphic families of nonequivalent embeddings and of holomorphic group actions on affine space [PDF]

, 2013
We construct holomorphic families of proper holomorphic embeddings of \mathbb {C}^{k} into \mathbb {C}^{n} (0\textless k\textless n-1), so that for any two different parameters in the family, no holomorphic automorphism of \mathbb {C}^{n} can map the ...
Lodin, Sam,, Kutzschebauch, Frank, Lodin, Sam, Kutzschebauch, Frank,   +3 more
core   +2 more sources

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   +3 more sources

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

Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold

Mathematische Nachrichten, EarlyView.
ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley, Ángel Morán Ledezma   +1 more
wiley   +1 more source