Results 31 to 40 of about 2,712,853 (214)
On extension theorems for holomorphic generalized functions
, 2009 We present two extension theorems for holomorphic generalized functions. The first one is a version of the classic Hartogs extension theorem. In this, we start from a holomorphic generalized function on an open neighbourhood of the bounded open boundary,
Marcelo Reicher Soares +2 more
core +1 more source
On holomorphic Artin L-functions [PDF]
, 2021 Let $K/\Q$ be a finite Galois extension, $s_0\in \C\setminus \{1\}$, $Hol(s_0)$ the semigroup of Artin L-functions holomorphic at $s_0$. We present criteria for Artin's holomorphy conjecture in terms of the semigroup $Hol(s_0)$.
Nicolae, Florin
core +1 more source
Gauge invariants and correlators in flavoured quiver gauge theories
Nuclear Physics B, 2016 In this paper we study the construction of holomorphic gauge invariant operators for general quiver gauge theories with flavour symmetries. Using a characterisation of the gauge invariants in terms of equivalence classes generated by permutation actions,
Paolo Mattioli, Sanjaye Ramgoolam
doaj +1 more source
Проблемы анализаIn this paper, we prove that a family of holomorphic curves in ℙ^N(ℂ) that partially share moving as well as wander ing hyperplanes with their derivatives is normal.
Sonam Mehta, Kuldeep Singh Charak
doaj +1 more source
Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 We obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable.
Plaksa S. A., Pukhtaievych R. P.
doaj +1 more source
Some results on holomorphic generalized functions
, 2011 In this note, we present three independent results within generalized complex analysis (in the Colombeau sense). The first of them deals with non-removable singularities; we construct a generalized function u on an open subset Omega of C(n), which is not
Jorge Aragona, ARAGONA, Jorge
core +1 more source
Generalized Helmholtz equation
Selecciones Matemáticas, 2019 In this paper we introduce the generalized Helmholtz equation and present explicit solutions to this generalized Helmholtz equation, these solutions depend on three holomorphic functions.
Carlos C. Riveros, Armando V. Corro
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 +1 more
wiley +1 more source
Real‐Time Conformal Maps and Parameterizations
Computer Graphics Forum, EarlyView.Abstract We present a simple algorithm to conformally map between two simple and bounded planar domains based on the concept of harmonic measure, which is a conformal invariant. With suitable preprocessing, the algorithm is fast enough to compute all possible conformal maps (having three real degrees of freedom) between the two domains in real time in
Q. Chang, C. Gotsman, K. Hormann
wiley +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 +3 more
doaj +1 more source