تقرير
A generalization of a result of Minakshisundaram and Pleijel
| العنوان: | A generalization of a result of Minakshisundaram and Pleijel |
|---|---|
| المؤلفون: | Mishra, Mansi, Sharma, Ankita, Vemuri, M. K. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematics - Spectral Theory, 58J50, 58J35 |
| الوصف: | Minakshisundaram and Pleijel gave an asymptotic formula for the sum of squares of the pointwise values of the eigenfunctions of the Laplace-Beltrami operator on a compact Riemannian manifold, with eigenvalues less than a fixed number. Here, a generalization is given, where the pointwise values are replaced by the Fourier coefficients of a smooth measure supported on a compact submanifold. Comment: 13 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.07078 |
| رقم الأكسشن: | edsarx.2312.07078 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |