A Novel Fourier Theory on Non-linear Phases and Applications

DOI10.11845/sxjz.2018002azbMath1424.32016arXiv1805.06101OpenAlexW2964250558MaRDI QIDQ4623660

Tao Qian

Publication date: 22 February 2019

Full work available at URL: https://arxiv.org/abs/1805.06101

zbMATH Keywords

Hardy spaceBlaschke productadaptive Fourier decompositionmono-component function

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other generalizations of function theory of one complex variable (32A30)

Related Items (11)

Weak pre-orthogonal adaptive Fourier decomposition in Bergman spaces of pseudoconvex domains ⋮ The Fourier type expansions on tubes ⋮ Sparse representation of approximation to identity ⋮ Phase unwinding, or invariant subspace decompositions of Hardy spaces ⋮ A sparse kernel approximate method for fractional boundary value problems ⋮ Unconditional basis constructed from parameterised Szegö kernels in analytic \(\mathbb{H}^p(D)\) ⋮ Sparse representations of random signals ⋮ Adaptive Fourier decomposition‐type sparse representations versus the Karhunen–Loève expansion for decomposing stochastic processes ⋮ Reproducing kernel representation of the solution of second order linear three‐point boundary value problem ⋮ Adaptive rational approximation in Bergman space on bounded symmetric domain ⋮ Reproducing kernel sparse representations in relation to operator equations

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