Does anyone know if there is an English translation of Hilbert's: "Grundzuge einer allgemeinen Theorie der linearen Integralgleichungen, Teubner, Leipzig, 1912". ??
Thanks, Andre
MathOverflow is a question and answer site for professional mathematicians. It only takes a minute to sign up.
Sign up to join this communityDoes anyone know if there is an English translation of Hilbert's: "Grundzuge einer allgemeinen Theorie der linearen Integralgleichungen, Teubner, Leipzig, 1912". ??
Thanks, Andre
this 2014 overview lists the known translations in English of Hilbert's books, the 1912 book in the OP is not among them:
Yes, there is a translation, but not an official one and only of the "Erste Mitteilung", not the whole book: The pdf
contains "Foundations of a General Theory of Linear Integral Equations" (starting on p.55 (59 in the pdf)). This is a translation of the paper
Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen, Erste Mitteilung Nachrichten der Wissenschaftlichen Gesellschaft zu Göttingen, Math.-phys. Kl. (1904),49-91".
I haven't seen translation of the five other "Mitteilung" under the same title (but I haven't seen version of the second, third and sixth Mitteilung even in German…).
The other two papers in the pdf are Fredholm's "On a Class of Functional Equations" and Schmidt's "On the Theory of Linear and Nonlinear Integral Equations. Part I: The Expansion of Arbitrary Functions by Prescribed Systems."