Results 51 to 60 of about 39,813 (178)
A theorem concerning Fourier transforms: A survey
Abstract In this note, we highlight the impact of the paper G. H. Hardy, A theorem concerning Fourier transforms, J. Lond. Math. Soc. (1) 8 (1933), 227–231 in the community of harmonic analysis in the last 90 years, reviewing, on one hand, the direct generalizations of the main results and, on the other hand, the different connections to related areas ...
Aingeru Fernández‐Bertolin, Luis Vega
wiley +1 more source
Weighted Bergman kernel functions associated to meromorphic functions [PDF]
We present a technique for computing explicit, concrete formulas for the weighted Bergman kernel on a planar domain with weight the modulus squared of a meromorphic function in the case that the meromorphic function has a finite number of zeros on the ...
Jacobson, Robert
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Siegel–Veech constants for cyclic covers of generic translation surfaces
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections
Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
wiley +1 more source
One‐level densities in families of Grössencharakters associated to CM elliptic curves
Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley +1 more source
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun +2 more
wiley +1 more source
$L^2$ Serre Duality on Domains in Complex Manifolds and Applications [PDF]
An $L^2$ version of the Serre duality on domains in complex manifolds involving duality of Hilbert space realizations of the $\bar{\partial}$-operator is established.
Chakrabarti, Debraj, Shaw, Mei-Chi
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Fast and Slow Mixing of the Kawasaki Dynamics on Bounded‐Degree Graphs
ABSTRACT We study the worst‐case mixing time of the global Kawasaki dynamics for the fixed‐magnetization Ising model on the class of graphs of maximum degree Δ$$ \Delta $$. Proving a conjecture of Carlson, Davies, Kolla, and Perkins, we show that below the tree‐uniqueness threshold, the Kawasaki dynamics mix rapidly for all magnetizations. Disproving a
Aiya Kuchukova +3 more
wiley +1 more source
Abstract Directional data analysis plays a central role in paleomagnetism, where observations lie on a spherical surface. Existing methods for analyzing directional data often fail to incorporate prior physical knowledge about plate geodynamics, significantly constraining their potential.
F. Sapienza +4 more
wiley +1 more source
A brief survey of Nigel Kalton's work on interpolation and related topics [PDF]
This is the third of a series of papers surveying some small part of the remarkable work of our friend and colleague Nigel Kalton. We have written it as part of a tribute to his memory. It does not contain new results.
Cwikel, Michael +2 more
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