Results 81 to 90 of about 5,162,686 (175)
Kahler manifolds and their relatives [PDF]
Let M1 and M2 be two K¨ahler manifolds. We call M1 and M2 relatives if they share a non-trivial K¨ahler submanifold S, namely, if there exist two holomorphic and isometric immersions (K¨ahler immersions) h1 : S → M1 and h2 : S → M2. Moreover, two K¨ahler
Loi, A., Di Scala, Antonio Jose'
core
Let O ⊂ C, O ≠ Cbe an open set with simply connected components. For a function ϕ which is holomorphic on O, three new types of cluster sets are introduced; the classical cluster sets with values in Ĉ are replaced by certain cluster sets with values in ...
Luh, Wolfgang
core +1 more source
Scators form a linear space equipped with a specific non-distributive product. In the elliptic case they can be interpreted as a kind of hypercomplex numbers.The standard definition of holomorphy (requiring the directional derivative to be direction-independent) leads to a generalization of the Cauchy-Riemann equation and to scator holomorphic ...
Jan L. Cieslinski +2 more
openaire +2 more sources
Zeros of polynomials in derivatives of automorphic L$L$‐functions
Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong +2 more
wiley +1 more source
On Zeros of Holomorphic Functions
Summary: The aim of the article is to find conditions on the coefficients of the Taylor expansion of a holomorphic function in \(\mathbb{C}\) that guarantee a absence of zeros.
openaire +7 more sources
ABSTRACT Preparing quantum states with desired amplitude distributions is a key bottleneck in the implementation of quantum linear and nonlinear dynamics solvers, including Linear Combination of Hamiltonian Simulation (LCHS) and Schrödingerization. We present a direct, closed‐form construction of Quantized Tensor Train (QTT) representations for two ...
Katsuhiro Endo, Kazuaki Z. Takahashi
wiley +1 more source
Singularity of non‐pluripolar cohomology classes
Abstract We establish a relation between Lelong numbers and the full mass property of relative non‐pluripolar products. We use this relation to prove that if the restricted volume of a big class α$\alpha$ along an effective divisor D$D$ has full mass, then the Lelong numbers of the non‐pluripolar class ⟨αn−1⟩$\langle \alpha ^{n-1}\rangle$ at every ...
Duc‐Bao Nguyen +2 more
wiley +1 more source
Gram lines and the average of the real part of the Riemann zeta function [PDF]
The contours ξ Λ(s) = 0 of the function which satisfies ζ(1-s) = Λ(s)ζ(s) cross the critical strip on lines which are almost horizontal and straight, and which cut the critical line alternately at Gram points and points where ζ(s) is imaginary.
Barnett, A. Ross, Broughan, Kevin A.
core
Feller semigroups, Lp-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols [PDF]
The question of extending L-p-sub-Markovian semigroups to the spaces L-q, q > P, and the interpolation of LP-sub-Markovian semigroups with Feller semigroups is investigated.
Farkas, Walter +4 more
core +1 more source
Image of Lp(ℝn) under the Hermite Semigroup
It is shown that the Hermite (polynomial) semigroup {e−tℍ:t>0} maps Lp(ℝn,ρ) into the space of holomorphic functions in Lr(ℂn,Vt,p/2(r+ϵ)/2) for each ϵ>0, where ρ is the Gaussian measure, Vt,p/2(r+ϵ)/2 is a scaled version of Gaussian measure with r=p if ...
R. Radha, D. Venku Naidu
doaj +1 more source

