S. Y. Cheng [Proc. Amer. Soc. 55 (1976), 379-381] investigated closed two-dimensional Riemannian manifolds of genus zero which admit $m$ first eigenfunctions with ...

This paper develops an eigenfunction expansion approach to pricing options on scalar diffusion processes. All contingent claims are unbundled into portfolios of primitive securities called ...

AMONG those who are trying to acquire a general acquaintance with Schrödinger's wave-mechanics there must be many who find their mathematical equipment insufficient to follow his first great ...

Inverse problems in spectral theory address the challenge of reconstructing differential operators from observed spectral data. This field, rich in both theoretical and applied mathematics, underpins ...