scholarly journals A limit formula for semigroups defined by Fourier-Jacobi series

2017 ◽  
Vol 146 (5) ◽  
pp. 2027-2038
Author(s):  
J. C. Guella ◽  
V. A. Menegatto
Keyword(s):  
Jacobi Series ◽  
Limit Formula

scholarly journals Weak behaviour of Fourier-Jacobi series

1990 ◽  
Vol 61 (2) ◽  
pp. 222-238 ◽  
Author(s):  
JoséJ Guadalupe ◽  
Mario Pérez ◽  
Juan L Varona
Keyword(s):  
Jacobi Series

How Do Campaign Spending Limits Affect Elections? Evidence from the United Kingdom 1885–2019

2020 ◽  
pp. 1-17
Author(s):  
ALEXANDER FOUIRNAIES
Keyword(s):  
United Kingdom ◽  
Campaign Spending ◽  
House Of Commons ◽  
Electoral Campaigns ◽  
Limit Formula ◽  
The United Kingdom ◽  
The World ◽  
Legal Constraints ◽  
The Cost

In more than half of the democratic countries in the world, candidates face legal constraints on how much money they can spend on their electoral campaigns, yet we know little about the consequences of these restrictions. I study how spending limits affect UK House of Commons elections. I contribute new data on the more than 70,000 candidates who ran for a parliamentary seat from 1885 to 2019, and I document how much money each candidate spent, how they allocated their resources across different spending categories, and the spending limit they faced. To identify the effect on elections, I exploit variation in spending caps induced by reforms of the spending-limit formula that affected some but not all constituencies. The results indicate that when the level of permitted spending is increased, the cost of electoral campaigns increases, which is primarily driven by expenses related to advertisement and mainly to the disadvantage of Labour candidates; the pool of candidates shrinks and elections become less competitive; and the financial and electoral advantages enjoyed by incumbents are amplified.

scholarly journals D5(1)-Geometric crystal corresponding to the Dynkin spin node i = 5 and its ultra-discretization

2019 ◽  
Vol 18 (12) ◽  
pp. 1950227 ◽  
Author(s):  
Mana Igarashi ◽  
Kailash C. Misra ◽  
Suchada Pongprasert
Keyword(s):  
Explicit Formula ◽  
Lie Algebra ◽  
Perfect Crystal ◽  
Index Set ◽  
Limit Formula ◽  
Affine Lie Algebra ◽  
Level Zero

Let [Formula: see text] be an affine Lie algebra with index set [Formula: see text] and [Formula: see text] be its Langlands dual. It is conjectured that for each Dynkin node [Formula: see text] the affine Lie algebra [Formula: see text] has a positive geometric crystal whose ultra-discretization is isomorphic to the limit of certain coherent family of perfect crystals for [Formula: see text]. In this paper, we construct a positive geometric crystal [Formula: see text] in the level zero fundamental spin [Formula: see text]-module [Formula: see text]. Then we define explicit [Formula: see text]-action on the level [Formula: see text] known [Formula: see text]-perfect crystal [Formula: see text] and show that [Formula: see text] is a coherent family of perfect crystals with limit [Formula: see text]. Finally, we show that the ultra-discretization of [Formula: see text] is isomorphic to [Formula: see text] as crystals which proves the conjecture in this case.

scholarly journals On mean convergence of Fourier-Jacobi series

2021 ◽  
Vol 15 ◽  
pp. 70
Author(s):  
S.V. Goncharov ◽  
V.P. Motornyi
Keyword(s):  
Lebesgue Constants ◽  
Order Of Growth ◽  
Jacobi Series ◽  
Jacobi Sums ◽  
Mean Convergence

We establish the order of growth of modified Lebesgue constants of Fourier-Jacobi sums in $L_{p,w}$ spaces.

Corrigendum: A limit formula for the quantum fidelity (2013 J. Phys. A: Math. Theor. 46 025304)

2014 ◽  
Vol 47 (32) ◽  
pp. 329501
Author(s):  
Gaetana Spedalieri ◽  
Christian Weedbrook ◽  
Stefano Pirandola
Keyword(s):  
Limit Formula ◽  
Quantum Fidelity
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