"Harmonic Analysis: Smooth and Non-smooth."1em Introduction to the Conference: Historical context, Reading list, Basic definitions, some relevant results, and an Outline of the Ten Lectures by Jorgensen. 1em CBMS conference to be held at Iowa State University, June 4–8, 2018

Lecture 1. Harmonic Analysis of Measures: Analysis on Fractals Lecture 2. Spectra of measures, tilings, and wandering vectors Lecture 3. The universal tiling conjecture in dimension one and operator fractals Lecture 4. Representations of Cuntz algebras associated to quasi-stationary Markov measures Lecture 5. The Cuntz relations and kernel decompositions Lecture 6. Harmonic analysis of wavelet filters: input-output and state-space models Lecture 7. Spectral theory for Gaussian processes: reproducing kernels, boundaries, and L-wavelet generators with fractional scales Lecture 8. Reproducing Kernel Hilbert Spaces arising from groups Lecture 9. Extensions of positive definite functions Lecture 10. Reflection positive stochastic processes indexed by Lie groups