An Extension of Mercer's Theorem

1952 ◽  
Vol 3 (3) ◽  
pp. 448 ◽  
Author(s):  
R. T. Leslie ◽  
E. R. Love
Keyword(s):  
Mercer’S Theorem

scholarly journals An extension of Mercer’s theorem

1952 ◽  
Vol 3 (3) ◽  
pp. 448-448
Author(s):  
R. T. Leslie ◽  
E. R. Love
Keyword(s):  
Mercer’S Theorem

Application of Mercer’s theorem in field theory

1973 ◽  
Vol 16 (2) ◽  
pp. 355-375 ◽  
Author(s):  
C. Benard
Keyword(s):  
Field Theory ◽  
Mercer’S Theorem

On Mercer's theorem for (C,2)-means

1976 ◽  
Vol 81 (2) ◽  
pp. 149-152 ◽  
Author(s):  
P. Sz�sz
Keyword(s):  
Mercer’S Theorem

A Note on Mercer's Theorem

1942 ◽  
Vol s1-17 (4) ◽  
pp. 204-210 ◽  
Author(s):  
W. H. J. Fuchs ◽  
W. W. Rogosinski
Keyword(s):  
Mercer’S Theorem

scholarly journals Mercer's Theorem and Fredholm resolvents

1974 ◽  
Vol 11 (3) ◽  
pp. 373-380 ◽  
Author(s):  
C.S. Withers
Keyword(s):  
Fredholm Determinant ◽  
Arbitrary Domain ◽  
Symmetric Kernel ◽  
Mercer’S Theorem

Multivariate versions of Mercer's Theorem and the usual expansions of the resolvent and Fredholm determinant are shown to hold for an n × n symmetric kernel N(x, y) with arbitrary domain in Rp under weakened continuity conditions. Further, the resolvent and determinant of N(x, y) − a(x)b(y) are given in terms of those of N(x, y).

An Analogue of Mercer's Theorem

1938 ◽  
Vol s1-13 (3) ◽  
pp. 177-180
Author(s):  
L. S. Bosanquet
Keyword(s):  
Mercer’S Theorem

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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