A two cones support theorem

• Autorzy: Estrada R.

Identyfikatory

DOI

http://dx.doi.Org/10.7494/OpMath.2016.36.2.207

• Języki publikacji: EN

Abstrakty

EN

We show that if the Radon transform of a distribution ƒ vanishes outside of an acute cone Co, the support of the distribution is contained in the union of Co and another acute cone C1, the cones are in a suitable position, and ƒ vanishes distributionally in the direction of the axis of C1, then actually supp ƒ C ⊂ Co. We show by examples that this result is sharp.

Słowa kluczowe

EN

Radon transforms; support theorems; distributions

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2016
• Tom: Vol. 36, no. 2
• Strony: 207--213
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Estrada R.

• Department of Mathematics Louisiana State University Baton Rouge, LA 70803, U.S.A.

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.