John's equation
id:
john-s-equation-270-4735734
title:
John's equation
text:
John's equation is an ultrahyperbolic partial differential equation satisfied by the X-ray transform of a function. It is named after Fritz John. Given a function f : R n → R with compact support the X-ray transform is the integral over all lines in R n . We will parameterise the lines by pairs of points x , y ∈ R n , x ≠ y on each line and define u as the ray transform where Such functions u are characterized by John's equations which is proved by Fritz John for dimension three and by Kurusa fo
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https://en.wikipedia.org/wiki/John%27s_equation
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date modified:
2023-04-11T07:55:19Z
main entity:
{"identifier":"Q6217304","url":"https://www.wikidata.org/entity/Q6217304"}
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