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existence theorem

   Also found in: Wikipedia 0.01 sec.
existence theorem [ig′zis·təns ‚thir·əm]
(mathematics)
The theorem that at least one object of a specified type exists.


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After discussing the theory of Radon transforms on symmetric spaces, inversion formulas, and range theorems, the book examines applications to invariant differential equations on symmetric spaces, existence theorems, and explicit solution formulas, particularly potential theory and wave equations.
In conclusion we can formulate as followthe existence theorem of conditionally invariant solutions in the case of DCs of higher order: Theorem 2.
The book concludes with a transition to more advanced topics, including the proof of an existence theorem for the Dirichlet problem and an introduction to distributions.
 
 
 
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