An extension of Mercer's theorem to a class of non-symmetric integral equations

1980 ◽  
Vol 37 (1-2) ◽  
pp. 99-110
Author(s):  
H. H. E. Leipholz
Keyword(s):  
Integral Equations ◽  
Mercer’S Theorem ◽  
Symmetric Integral

scholarly journals Fredholm theory for arbitrary measure spaces

1975 ◽  
Vol 12 (2) ◽  
pp. 283-292 ◽  
Author(s):  
C.S. Withers
Keyword(s):  
Integral Equations ◽  
Measure Space ◽  
Fredholm Theory ◽  
Fredholm Integral Equations ◽  
Measure Spaces ◽  
Mercer’S Theorem ◽  
Arbitrary Measure

The classical formulae for Fredholm integral equations, including expansions in terms of eigenfunctions such as Mercer's Theorem are extended to square-integrable kernels on an arbitrary measure space.

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