𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalized Legendre series and the fundamental solution of the Laplacian on then-sphere

✍ Scribed by Jose L. Martinez-Morales

Book ID
106343999
Publisher
Springer
Year
2005
Tongue
English
Weight
198 KB
Volume
31
Category
Article
ISSN
0133-3852

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Formula for the fundamental solution of
Formula for the fundamental solution of the heat equation on the sphere
✍ V. Tulovsky; L. Papiez πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 192 KB

This paper is devoted to the derivation of a simple asymptotic formula for the fundamental solution of the heat equation on the sphere. This formula is efficient for small values of the evolution parameter, and thus, complements the well-known formula for the fundamental solution in terms of Legendr

On an Approximate Solution of the Dirich
On an Approximate Solution of the Dirichlet Problem for the Generalized Laplacian
✍ Nikolai N. Tarkhanov πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 750 KB

## Abstract For an arbitrary differential operator __P__ of order __p__ on an open set __X__ βŠ‚ R^n^, the Laplacian is defined by Ξ” = __P__\*__P__. It is an elliptic differential operator of order __2p__ provided the symbol mapping of __P__ is injective. Let __O__ be a relatively compact domain in _

On the Convolution of the Generalized Fi
On the Convolution of the Generalized Finite Legendre Transform
✍ J. M. R. MΓ©ndez-PΓ©rez; G. Miquel Morales πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 731 KB

The translation operator and the convolution for the finite Legendre transformation are investigated in the space L(-1, 1) of testing-functions and its dual through an approach that emphasizes the close similarity existing between this transform and the infinite Mehler -Fock transformation. The theo