This
is a supplementary page to a basic page
on a set of five books by Barry Simon. This has links to ten
sample sections, two from each part.
Part 1 Real Analysis.
Section 3.5 Classical Fourier Series
Section 7.2 Borel–Cantelli Lemmas and the Laws of Large Numbers and of the Iterated Logarithm
Section 3.5 Classical Fourier Series
Section 7.2 Borel–Cantelli Lemmas and the Laws of Large Numbers and of the Iterated Logarithm
Section 3.1 Analyticity and Cauchy Estimates (part of a Chapter on Consequences of the Cauchy Integral Formula)
Section 9.6 The Gamma Function: Basics
Section 13.4 Dirichlet’s Prime Progression Theorem
Section 15.4 The Method of Steepest Descent
Section 2.8 Bonus Section: More Applications of the Ergodic Theorems (Skew shifts, Continued fractions, Geodesic flow)
Section 4.6 Wavelets
Section 2.4 The Square Root Lemma and the Polar Decomposition
Section 6.9 Bonus Section: Fourier Analysis on LCA Groups