Rademacher system

GPTKB entity

Statements (22)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application Fourier analysis
Banach space theory
random series
gptkbp:codomain {-1,1}
gptkbp:consistsOf sequence of functions
gptkbp:defines r_n(t) = sign(sin(2^n π t)) for n ≥ 1
gptkbp:domain interval [0,1]
gptkbp:field gptkb:mathematics
gptkbp:function r_1(t) = sign(sin(2πt))
gptkbp:hasSubfield gptkb:probability_theory
functional analysis
https://www.w3.org/2000/01/rdf-schema#label Rademacher system
gptkbp:namedAfter gptkb:Hans_Rademacher
gptkbp:property orthogonality
independent random variables
gptkbp:type orthonormal functions
gptkbp:usedIn gptkb:Khintchine_inequality
probabilistic method
analysis of random processes
gptkbp:bfsParent gptkb:Hans_Rademacher
gptkbp:bfsLayer 6