Asymptotic Formulae in Spectral Geometry

By P. Gilkey. 2003

216 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0a4c193a80b6548db24c6c1d878471b809dd3b14

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. David A. Sher
2. Iosif Polterovich
3. Stefano Serra-Capizzano
4. A. Girouard
5. Carlo Garoni
6. Asma Hassannezhad

In Mathematical Physics

1. David A. Sher
2. Iosif Polterovich
3. Stefano Serra-Capizzano
4. Jean Bourgain
5. Asma Hassannezhad

Citations in the corpus

• SPECTRAL GEOMETRY OF THE STEKLOV PROBLEM (2014, unknown): “The coefficients ak are not local for k ≥ n [42, 43] and hence are significantly more difficult to study.”
• Heat Invariants of the Steklov Problem (2013, background): “n be determined from the Steklov spectrum. In order to obtain further geometric information, we consider the heat trace asymptotics. While such an approach is quite standard in spectral geometry (see [Gi] and references therein), to our knowledge, it has not previously been systematically applied in”
• The GLT class as a generalized Fourier analysis and applications (2006, methodology): “In fact, in the continuous, extensions of the Weyl formulae, that are based on the Hörmander symbolic calculus, are available, see [27,28,29,36,17,65].”