Wyniki wyszukiwania

1

The 𝔳-radial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces

100%

Camporesi R.

Colloquium Mathematicum

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2016

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tom 144

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nr 1

87-113

EN

We prove the Paley-Wiener theorem for the Helgason Fourier transform of smooth compactly supported 𝔳-radial functions on a Damek-Ricci space S = NA.

2

Harmonic analysis for spinors on real hyperbolic spaces

63%

Camporesi R., Pedon E.

Colloquium Mathematicum

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2001

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tom 87

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nr 2

245-286

EN

We develop the L² harmonic analysis for (Dirac) spinors on the real hyperbolic space Hⁿ(ℝ) and give the analogue of the classical notions and results known for functions and differential forms: we investigate the Poisson transform, spherical function theory, spherical Fourier transform and Fourier transform. Very explicit expressions and statements are obtained by reduction to Jacobi analysis on L²(ℝ). As applications, we describe the exact spectrum of the Dirac operator, study the Abel transform and derive explicit expressions for the heat kernel associated with the spinor Laplacian.

3

A generalization of a theorem of Mammana

63%

Camporesi R., Di Scala A.

Colloquium Mathematicum

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2011

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tom 122

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nr 2

215-223

EN

We prove that any linear ordinary differential operator with complex-valued coefficients continuous in an interval I can be factored into a product of first-order operators globally defined on I. This generalizes a theorem of Mammana for the case of real-valued coefficients.

Ograniczanie wyników

3 Colloquium Mathematicum

3 Camporesi R.

1 Di Scala A.

1 Pedon E.

1 2016

1 2011

1 2001

The 𝔳-radial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces

Harmonic analysis for spinors on real hyperbolic spaces

A generalization of a theorem of Mammana