From Classical Analysis to Analysis on Fractals A Tribute to Robert Strichartz, Volume 1
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 tribut...
| Other Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Birkhäuser
2023, 2023
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| Edition: | 1st ed. 2023 |
| Series: | Applied and Numerical Harmonic Analysis
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Part I. Introduction to this volume
- From Strichartz Estimates to Differential Equations on Fractals
- Part II. Functional and harmonic analysis on Euclidean spaces
- A new proof of Strichartz estimates for the Schrödinger equation in 2 + 1 dimensions
- Modulational instability of classical water waves
- Convergence Analysis of the Deep Galerkin Method for Weak Solutions
- The 4-player gambler’s ruin problem
- Part III. Analysis on Manifolds
- Product Manifolds with Improved Spectral Cluster and Weyl Remainder Estimates
- A scalar valued Fourier transform for the Heisenberg group
- Asymptotic behavior of the heat semigroup on certain Riemannian manifolds
- Part IV. Intrinsic Analysis on Fractals
- Fourier Series for Fractals in 2 Dimensions
- Blowups and Tops of Overlapping Iterated Function Systems
- Estimates of the local spectral dimension of the Sierpinski gasket
- Heat kernel fluctuations for stochastic processes on fractals and random media
- Index