14 normed spaces and locally convex spaces
biography: stefan banach
14.1  the hahn-banach theorem
14.2  linear operators on banach spaces
14.3 compact self-adjoint operators
14.4 topological linear spaces
14.5  weak and weak* topologies
14.5  compact convex sets
part four
harmonic analysis, dynamical systems, and hausdorff measure
15 elements of harmonic analysis
biography: ingrid daubechies
15.1 introduction to fourier series
15.2  convergence of fourier series
15.3  the fourier transform
15.4 fourier transforms of measures
15.5 □-theory of the fourier transform
15.5  introduction to wavelets
15.7  orthonormal wavelet bases; the wavelet transform
15 measurable dynamical systems biography: claude e/woodshannon
16.1  introduction and examples
16.2 ergodic theory
16.3  isomorphism of measurable dynamical systems;entropy
16.4 the kolmogorov-sinai theorem; calculation of entropy
17 hausdorff measure and fractals biography: benoit b.mandelbrot
17.1  outer measure and measurability
17.2  hausdorff measure
17.3  hausdorff dimension and topological dimension
17.4 fractals
index

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