Range of the generalized Radon transform associated with partial differential operators.

M. Mili; K. Trimèche

Displaying similar documents to “Range of the generalized Radon transform associated with partial differential operators.”

The thinnest double lattice covering of three-spheres

R. Bambah, A. Woods (1971)

Acta Arithmetica

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[unknown]

J. Mikusiński (1959)

Studia Mathematica

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Note on steady flow of heat in a semi-infinite strip

Ranjit Kumar Chakraborty (1982)

Aplikace matematiky

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The existence of a solution of the two - dimensional heat conduction equation in a semi-infinite strip, under mixed boundary condition, is discussed.

Bounds for oscillatory integrals and L²-theory of the corresponding singular integrals

Magdalena Walias-Cuadrado (1984)

Studia Mathematica

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Rough maximal functions and rough singular integral operators applied to integrable radial functions.

Peter Sjögren, Fernando Soria (1997)

Revista Matemática Iberoamericana

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Let Ω be homogeneous of degree 0 in R and integrable on the unit sphere. A rough maximal operator is obtained by inserting a factor Ω in the definition of the ordinary maximal function. Rough singular integral operators are given by principal value kernels Ω(y) / |y|, provided that the mean value of Ω vanishes. In an earlier paper, the authors showed that a two-dimensional rough maximal operator is of weak type (1,1) when restricted to radial functions. This result is now extended to...

Transference for hypergroups.

Giacomo Gigante (2001)

Collectanea Mathematica

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A transference theorem for convolution operators is proved for certain families of one-dimensional hypergroups.

Carleman estimates for a subelliptic operator and unique continuation

Nicola Garofalo, Zhongwei Shen (1994)

Annales de l'institut Fourier

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We establish a Carleman type inequality for the subelliptic operator $ℒ = Δ_{z} + | x |^{2} \partial_{t}^{2}$ in $ℝ^{n + 1}$ , $n \geq 2$ , where $z \in ℝ^{n}$ , $t \in ℝ$ . As a consequence, we show that $- ℒ + V$ has the strong unique continuation property at points of the degeneracy manifold ${(0, t) \in ℝ^{n + 1} | t \in ℝ}$ if the potential $V$ is locally in certain $L^{p}$ spaces.