𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Sampling Theorem Associated with a Dirac Operator and the Hartley Transform

✍ Scribed by Ahmed I. Zayed; Antonio G. Garcı́a

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
191 KB
Volume
214
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

Kramer's sampling theorem indicates that, under certain conditions, sampling theorems associated with boundary-value problems involving nth order self-adjoint differential operators can be obtained. In this paper, we extend this result and derive a sampling theorem associated with boundary-value problems involving a one-dimensional system of Dirac operators. As a special case, we obtain a sampling theorem for the Hartley transform of a bandlimited function.

📜 SIMILAR VOLUMES

The Clifford–Cauchy transform with a con
The Clifford–Cauchy transform with a continuous density: N. Davydov's theorem
✍ Ricardo Abreu-Blaya; Juan Bory-Reyes; Oleg F. Gerus; Michael Shapiro 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

## Abstract N. A. Davydov was among the first mathematicians who investigated the question of the continuity of the complex Cauchy transform along a non‐smooth curve. In particular he proved that the Cauchy transform over an arbitrary closed, rectifiable Jordan curve can be continuously extended up

A parametrix construction for the fundam
A parametrix construction for the fundamental solution of the evolution equation associated with a pseudo-differential operator generating a Markov process
✍ Björn Böttcher 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB

## Abstract We use the method proposed by H. Kumano‐go in the classical case to construct a parametrix of the equation $ \textstyle {{\partial u} \over {\partial t}}$ + __q__ (__x, D__ )__u__ = 0 where __q__ (__x, D__ ) is a pseudo‐differential operator with symbol in the class introduced by W. Hoh

MAOA-uVNTR polymorphism in a Brazilian s
MAOA-uVNTR polymorphism in a Brazilian sample: Further support for the association with impulsive behaviors and alcohol dependence
✍ Verônica Contini; Francine Z.C. Marques; Carlos E.D. Garcia; Mara H. Hutz; Clait 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 58 KB 👁 2 views

## Abstract The enzyme monoamine oxidase A (MAO A) plays an important role in the metabolism of neurotransmitters. The __MAOA__ gene presents several polymorphisms, including a 30‐bp VNTR in the promoter region (MAOA‐uVNTR). Alleles with 3.5 and 4 repeats are 2–10 times more efficient than the 3‐re