Hypercomplex Fourier and Laplace transforms. I
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Publication:1157751
zbMath0472.46032MaRDI QIDQ1157751
Publication date: 1982
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Laplace transformFourier transformsintegral transformsgeneralized functionsdistribution spacesboundary value problems by functions of a complex variablefunctions of hypercomplex variables and generalized variables
Integral transforms in distribution spaces (46F12) Hyperfunctions, analytic functionals (46F15) Distributions and ultradistributions as boundary values of analytic functions (46F20)
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Novel quaternionic fractional wavelet transform ⋮ The two-dimensional Clifford-Fourier transform ⋮ Abilov's estimates for the Clifford-Fourier transform in real Clifford algebras analysis ⋮ The Clifford-Fourier transform \({\mathcal {F}_0}\) and monogenic extensions ⋮ Uncertainty principles for the Clifford-Fourier transform ⋮ Quaternion hyperbolic Fourier transforms and uncertainty principles ⋮ Short time quadratic-phase quaternionic Fourier transform and associated uncertainty principle ⋮ A general geometric Fourier transform convolution theorem ⋮ Boas type results for two-sided quaternion Fourier transform and uniform Lipschitz spaces ⋮ Complex and hypercomplex discrete Fourier transforms based on matrix exponential form of Euler's formula ⋮ Clifford algebras, Fourier transforms, and quantum mechanics ⋮ Quaternion ridgelet transform and curvelet transform ⋮ Compressed sensing for quaternionic signals ⋮ Convolution products for hypercomplex Fourier transforms ⋮ Sharp inequalities for geometric Fourier transform and associated ambiguity function ⋮ Special power series expansions of monogenic functions around surfaces of codimension two ⋮ Demystification of the geometric Fourier transforms and resulting convolution theorems ⋮ A product and an exponential function in hypercomplex function theory ⋮ A General Geometric Fourier Transform
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