Editing Mercer's theorem (section)

== References ==
* Adriaan Zaanen, ''Linear Analysis'', North Holland Publishing Co., 1960,
* Ferreira, J. C., Menegatto, V. A., ''Eigenvalues of integral operators defined by smooth positive definite kernels'', Integral equation and Operator Theory, 64 (2009), no. 1, 61–81. (Gives the generalization of Mercer's theorem for metric spaces. The result is easily adapted to first countable topological spaces)
* [[Konrad Jörgens]], ''Linear integral operators'', Pitman, Boston, 1982,
* [[Richard Courant]] and [[David Hilbert]], ''[[Methoden der mathematischen Physik|Methods of Mathematical Physics]]'', vol 1, Interscience 1953, 
* Robert Ash, ''Information Theory'', Dover Publications, 1990,
* {{citation
 |first=J. |last=Mercer
 |title=Functions of positive and negative type and their connection with the theory of integral equations
 |journal=Philosophical Transactions of the Royal Society A
 |year=1909 |volume=209 |pages=415&ndash;446
 |doi=10.1098/rsta.1909.0016
 |issue=441–458
|bibcode=1909RSPTA.209..415M
 |doi-access=free
 }},
* {{springer|title=Mercer theorem|id=p/m063440}}
* H. König, ''Eigenvalue distribution of compact operators'', Birkhäuser Verlag, 1986. (Gives the generalization of Mercer's theorem for finite measures μ.)

{{Functional analysis}}

[[Category:Theorems in functional analysis]]