Beurling moving averages and approximate homomorphisms
نویسندگان
چکیده
منابع مشابه
Approximate Representations and Approximate Homomorphisms
Approximate algebraic structures play a defining role in arithmetic combinatorics and have found remarkable applications to basic questions in number theory and pseudorandomness. Here we study approximate representations of finite groups: functions ψ : G → Ud such that Pr[ψ(xy) = ψ(x) ψ(y)] is large, or more generally Ex,y ‖ψ(xy)− ψ(x) ψ(y)‖22 is small, where x, y are uniformly random elements ...
متن کاملMoving Averages
More generally, weighted averages may also be used. Moving averages are also called running means or rolling averages. They are a special case of “filtering”, which is a general process that takes one time series and transforms it into another time series. The term “moving average” is used to describe this procedure because each average is computed by dropping the oldest observation and includi...
متن کاملGaussian Moving Averages and Semimartingales
In the present paper we study moving averages (also known as stochastic convolutions) driven by a Wiener process and with a deterministic kernel. Necessary and sufficient conditions on the kernel are provided for the moving average to be a semimartingale in its natural filtration. Our results are constructive meaning that they provide a simple method to obtain kernels for which the moving avera...
متن کاملBrownian Moving Averages
1.1. Overview. It is well known (see Soner, Shreve and Cvitanić [8], Levental and Skorokhod [6], Cherny [2]) that in the Black–Scholes–Merton model with proportional transaction costs the superreplication price of a European call option is equal to its trivial upper bound. The same is true for any European type contingent claim in this model (see Cvitanić, Pham and Touzi [3]). In the recent pap...
متن کاملApproximate C-ternary Ring Homomorphisms
In this paper, we establish the generalized Hyers–Ulam–Rassias stability of C-ternary ring homomorphisms associated to the Trif functional equation d · C d−2f( x1 + · · ·+ xd d ) + C d−2 d ∑
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2016
ISSN: 0019-3577
DOI: 10.1016/j.indag.2015.11.011