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Publisher’s description: 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 first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his colleagues and friends. An introductory chapter summarizes his broad and varied mathematical work and highlights his profound contributions as a mathematical mentor. The remaining articles are grouped into three sections – functional and harmonic analysis on Euclidean spaces, analysis on manifolds, and analysis on fractals – and explore Strichartz’ contributions to these areas, as well as some of the latest developments.
The articles of this volume will be reviewed individually.
Indexed articles:
Ruiz, Patricia Alonso; Hinz, Michael; Okoudjou, Kasso A.; Rogers, Luke G.; Teplyaev, Alexander, From Strichartz estimates to differential equations on fractals, 3-15 [Zbl 1534.01018]
Muscalu, Camil; Oliveira, Itamar, A new proof of Strichartz estimates for the Schrödinger equation in \(2+1\) dimensions, 19-42 [Zbl 1532.42017]
Nguyen, Huy Q.; Strauss, Walter A., Modulational instability of classical water waves, 43-52 [Zbl 1532.76023]
Jiao, Yuling; Lai, Yanming; Wang, Yang; Yang, Haizhao; Yang, Yunfei, Convergence analysis of the deep Galerkin method for weak solutions, 53-82 [Zbl 1532.65121]
O’connor, Kathryn; Saloff-Coste, Laurent, The 4-player Gambler’s Ruin problem, 83-106 [Zbl 1532.60158]
Huang, Xiaoqi; Sogge, Christopher D.; Taylor, Michael E., Product manifolds with improved spectral cluster and Weyl remainder estimates, 109-136 [Zbl 1532.58015]
Thangavelu, Sundaram, A scalar-valued Fourier transform for the Heisenberg group, 137-163 [Zbl 1532.43006]
Grigor’yan, Alexander; Papageorgiou, Effie; Zhang, Hong-Wei, Asymptotic behavior of the heat Semigroup on certain Riemannian manifolds, 165-179 [Zbl 1532.58012]
Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S., Fourier series for fractals in two dimensions, 183-229 [Zbl 1532.42034]
Barnsley, Louisa F.; Barnsley, Michael F., Blowups and tops of overlapping iterated function systems, 231-249 [Zbl 1532.28007]
Hino, Masanori, Estimates of the local spectral dimension of the Sierpinski gasket, 251-263 [Zbl 1532.31002]
Andres, Sebastian; Croydon, David; Kumagai, Takashi, Heat kernel fluctuations for stochastic processes on fractals and random media, 265-281 [Zbl 1532.60224]