Results 61 to 70 of about 86,055 (204)
Berezin Quantization of Gauged WZW and Coset Models
, 2004 Gauged WZW and coset models are known to be useful to prove holomorphic factorization of the partition function of WZW and coset models. In this note we show that these gauged models can be also important to quantize the theory in the context of the ...
A.V. Karabegov +14 more
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Boundary unique continuation in planar domains by conformal mapping
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley +1 more source
Integral holomorphic functions [PDF]
Studia Mathematica, 2004 Given a complex Banach space \(E\) with open unit ball \(B_E^\circ\), the authors call a function \(f: B_E^\circ\to {\mathbb C}\) integral if there exists a regular Borel measure \(\mu\) on the closed unit ball of \(E'\), \(B_{E'}\), endowed with the weak\(^*\) topology, such that \[ f(z)=\int_{B_{E'}}{1\over 1-\phi(z)}d\mu(\phi) \] for all \(z\) in ...
Dimant, Verónica +3 more
openaire +2 more sources
On Gauge‐Invariant Entire Function Regulators and UV Finiteness in Non Local Quantum Field Theory
Annalen der Physik, Volume 538, Issue 4, April 2026.We regulate the theory with an entire function of the covariant operator F(□/M∗2)$F(\square /M^{2}_{*})$. In the perturbative vacuum this becomes a momentum‐space factor F(−p2/M∗2)$F(-p^{2}/M^{2}_{*})$ that exponentially damps high momenta, most transparent after Wick rotation, rendering loop integrals UV finite.
J. W. Moffat, E. J. Thompson
wiley +1 more source
Image of Lp(ℝn) under the Hermite Semigroup
International Journal of Mathematics and Mathematical Sciences, 2008 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
Selfdual Einstein metrics and conformal submersions [PDF]
, 2000 Weyl derivatives, Weyl-Lie derivatives and conformal submersions are defined, then used to generalize the Jones-Tod correspondence between selfdual 4-manifolds with symmetry and Einstein-Weyl 3-manifolds with an abelian monopole.
Calderbank, David M. J.
core
A properly embedded holomorphic disc in the ball with finite area and dense boundary curve
, 2018 In this paper we construct a properly embedded holomorphic disc in the unit ball $\mathbb{B}^2$ of $\mathbb{C}^2$ having a surprising combination of properties: on the one hand, it has finite area and hence is the zero set of a bounded holomorphic ...
Forstneric, Franc
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Approximation of the Pseudospectral Abscissa via Eigenvalue Perturbation Theory
Numerical Linear Algebra with Applications, Volume 33, Issue 2, April 2026.ABSTRACT Reliable and efficient computation of the pseudospectral abscissa in the large‐scale setting is still not settled. Unlike the small‐scale setting where there are globally convergent criss‐cross algorithms, all algorithms in the large‐scale setting proposed to date are at best locally convergent.
Waqar Ahmed, Emre Mengi
wiley +1 more source
Degenerate Euler zeta function
, 2015 Recently, T. Kim considered Euler zeta function which interpolates Euler polynomials at negative integer (see [3]). In this paper, we study degenerate Euler zeta function which is holomorphic function on complex s-plane associated with degenerate Euler ...
Kim, Taekyun
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source