Category
page 1Harmonic analysis
Terence Tao
Australian-American mathematician
harmonic analysis
study of superpositions in mathematics
spherical harmonic
special function over the surface of a sphere
Elias M. Stein
American mathematician (1931-2018)
Haar measure
left-invariant (or right-invariant) measure on locally compact topological group
Pontryagin duality
duality for locally compact abelian groups
Riemann–Lebesgue lemma
lemma that the Fourier transform of an L¹ function vanishes at infinity
pseudo-differential operator
operator on functions, defined by the composition of Fourier transformation, multiplication with a certain smooth function of both position and momentum, and inverse Fourier transformation
group ring
free module and at the same time a ring

Birnbaum–Orlicz space
topological space
group algebra
topological algebra associated to continuous groups

Hardy–Littlewood maximal function
Mathematical operator in real and harmonic analysis
Kakeya set
shape containing unit line segments in all directions
singular integral
integral operator whose kernel is singular along the diagonal
least-squares spectral analysis
frequency-domain analysis method
arithmetic combinatorics
field in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis