Trigonometric series

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:heat_equation
gptkb:signal_processing
acoustics
image analysis
gptkbp:component cosine function
sine function
gptkbp:convergesTo gptkb:Dirichlet
gptkb:Lebesgue
gptkb:Riemann
gptkbp:definedIn an infinite sum of sines and cosines
gptkbp:field gptkb:Mathematics
Fourier analysis
Harmonic analysis
gptkbp:general_form a_0/2 + Σ (a_n cos(nx) + b_n sin(nx))
https://www.w3.org/2000/01/rdf-schema#label Trigonometric series
gptkbp:property coefficients determined by orthogonality
may diverge at some points
can represent any square-integrable periodic function
gptkbp:relatedTo Fourier series
gptkbp:studiedBy gptkb:Jean-Baptiste_Joseph_Fourier
gptkbp:used_in representation of periodic functions
gptkbp:bfsParent gptkb:Antoni_Zygmund
gptkbp:bfsLayer 5