Extreme values for the Sidon constant
نویسندگان
چکیده
منابع مشابه
The Sidon Constant for Homogeneous Polynomials
The Sidon constant for the index set of nonzero m-homogeneous polynomials P in n complex variables is the supremum of the ratio between the l norm of the coefficients of P and the H(D) norm of P . We present an estimate which gives the right order of magnitude for this constant, modulo a factor depending exponentially on m. We use this result to show that the Bohr radius for the polydisc D is b...
متن کاملThe Sidon constant of sets with three elements
We solve an elementary minimax problem and obtain the exact value of the Sidon constant for sets with three elements {n0, n1, n2}: it is sec(π/2n) for n = max |ni − nj |/ gcd(n1 − n0, n2 − n0).
متن کاملFree Extreme Values
Free probability analogues of the basics of extreme value theory are obtained, based on Ando’s spectral order. This includes classification of freely max-stable laws and their domains of attraction, using “free extremal convolutions” on the distributions. These laws coincide with the limit laws in the classical peaks-over-threshold approach. A free extremal projection-valued process over a meas...
متن کاملCalibration Weighting to Compensate for Extreme Values, Non-response and Non-coverage in Labor Force Survey
Frame imperfection, non-response and unequal selection probabilities always affect survey results. In order to compensate for the effects of these problems, Devill and Särndal (1992) introduced a family of estimators called calibration estimators. In these estimators we look for weights that have minimum distance with design weights based on a distance function and satisfy calibration equa...
متن کاملA conditional approach for multivariate extreme values
Multivariate extreme value theory and methods concern the characterization, estimation and extrapolation of the joint tail of the distribution of a d-dimensional random variable. Existing approaches are based on limiting arguments in which all components of the variable become large at the same rate.This limit approach is inappropriate when the extreme values of all the variables are unlikely t...
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: Proceedings of the American Mathematical Society
سال: 1981
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1981-0601723-x