Hypercomplex fourier and laplace transforms II

DOI10.1080/17476938308814016zbMath0529.46030OpenAlexW2155781387MaRDI QIDQ3311129

Fransiscus Sommen

Publication date: 1983

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476938308814016

zbMATH Keywords

Cauchy transformClifford algebraexponential kerneldistributional boundary values of monogenic functionsgeneralized Fourier and Laplace transformsgeneralized Hilbert-Riesz transformhypercomplex Fourier and Laplace transforms

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Functions of hypercomplex variables and generalized variables (30G35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hyperfunctions, analytic functionals (46F15) Clifford algebras, spinors (15A66) Distributions and ultradistributions as boundary values of analytic functions (46F20)

Related Items (11)

On generalized Hilbert transforms and their interaction with the Radon transform in Clifford analysis ⋮ Novel quaternionic fractional wavelet transform ⋮ The two-dimensional Clifford-Fourier transform ⋮ Generalized multidimensional Hilbert transforms in Clifford analysis ⋮ Abilov's estimates for the Clifford-Fourier transform in real Clifford algebras analysis ⋮ Uncertainty principles for the Clifford-Fourier transform ⋮ Quaternion hyperbolic Fourier transforms and uncertainty principles ⋮ Complex and hypercomplex discrete Fourier transforms based on matrix exponential form of Euler's formula ⋮ Some power series expansions for monogenic functions ⋮ Quaternion ridgelet transform and curvelet transform ⋮ The Paley-Wiener theorem in \(\mathbb{R}^n\) with the Clifford analysis setting

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