Abstract
A Hermitian kernel is a kernel that satisfies the property
in the square Q(a, b) = { (x, t): a ≤ x ≤ b and a ≤ t ≤ b}. We assume as usual that K(x, t) is continuous in Q(a, b).
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Notes
- 1.
This terminology varies slightly in the literature.
- 2.
Dini’s theorem states that an increasing sequence of functions that converges pointwise to a continuous function on a closed interval actually converges uniformly there.
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© 2012 Springer Science+Business Media, LLC
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Zemyan, S.M. (2012). Fredholm Integral Equations of the Second Kind (Hermitian Kernel). In: The Classical Theory of Integral Equations. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8349-8_3
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DOI: https://doi.org/10.1007/978-0-8176-8349-8_3
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Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-8348-1
Online ISBN: 978-0-8176-8349-8
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