From Classical Analysis to Analysis on Fractals

Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the second volume of a tribute to Strichartz' work and legacy, featuring chapters written by his colleagues and friends that explore his mathematical contributions, as well as some of the latest developments in these areas.

Preface. - The Einstein Relation on Metric Measure Spaces. - Numerical investigation of Holder exponent for harmonic functions on Sierpinski Carpets. - Fractal Complex Dimensions and Cohomology of the Weierstrass Curve. - Surjectivity of spectral multipliers on p. c. f. fractals. - Scaling limit of the sandpile identity element on the Sierpinski gasket. - -Energy forms on fractals: recent progress. - Generalised Kre n Feller operators and gap diffusions via transformations of measure spaces. - Strichartz inequalities: some recent developments. - Self-similar energies on Fractals obtained by anti-attracting maps. - Fractal curvatures and short-time asymptotics of heat content.