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Mathematics · Source-linked note

Radon: determining functions from integrals over manifolds

Established inversion and uniqueness results for recovering a function from its line integrals under stated regularity conditions and discussed extensions to other geometries and dimensions.

What is recorded here?

Established inversion and uniqueness results for recovering a function from its line integrals under stated regularity conditions and discussed extensions to other geometries and dimensions.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is Radon's sole-author 1917 paper and its stated hypotheses. It does not absorb later generalized Radon transforms, numerical reconstruction algorithms, computed tomography hardware or every modern function-space extension.

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People and systems

Johann Radon

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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Documented countries / regions: Austria

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English catalogue narrative

Radon: determining functions from integrals over manifolds

Established inversion and uniqueness results for recovering a function from its line integrals under stated regularity conditions and discussed extensions to other geometries and dimensions.

Scientific scope

The record is Radon's sole-author 1917 paper and its stated hypotheses. It does not absorb later generalized Radon transforms, numerical reconstruction algorithms, computed tomography hardware or every modern function-space extension.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Johann Radon

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources