✦ LIBER ✦

Conformally covariant pseudo-differential operators

✍ Scribed by Lawrence J. Peterson

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 122 KB
Volume: 13
Category: Article
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(00)00023-1

No coin nor oath required. For personal study only.

✦ Synopsis

We construct an intrinsically defined conformally covariant pseudo-differential operator of arbitrary real-number order acting on scalar functions. In even dimensions the operator is only well-defined modulo operators of a certain lower order. Our work extends the Graham, Jenne, Mason, and Sparling construction of conformally covariant differential operators.

📜 SIMILAR VOLUMES

Covariant differential operators

✍ Mark G. Davidson; Thomas J. Enright; Ronald J. Stanke 📂 Article 📅 1990 🏛 Springer 🌐 English ⚖ 522 KB

On Conformally Invariant Differential Op

On Conformally Invariant Differential Operators

✍ Volkmar Wünsch 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 538 KB

## In troduc tiori Let ( M , g) be a pseudo-RIEMANNian C" manifold of dimension n ( n z 4 ) and D(g) a polynomial conformally invariant linear differential operator, i.e. a linear operator with the following properties: (i) D(g) acts on a C" tensor field 5 of any type which is defined in an open

Pseudo-differential operators

✍ Lars Hörmander 📂 Article 📅 1965 🏛 John Wiley and Sons 🌐 English ⚖ 685 KB

Rankin–Cohen brackets, transvectants and

Rankin–Cohen brackets, transvectants and covariant differential operators

✍ Genkai Zhang 📂 Article 📅 2009 🏛 Springer-Verlag 🌐 French ⚖ 167 KB

Pseudospectra of semiclassical (pseudo-)

Pseudospectra of semiclassical (pseudo-) differential operators

✍ Nils Dencker; Johannes Sjöstrand; Maciej Zworski 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 276 KB 👁 1 views

Pseudo-Differential Operators Involving

Pseudo-Differential Operators Involving Hankel Transforms

✍ R.S. Pathak; S.K. Upadhyay 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 220 KB

Pseudo-differential operators L x, D and H x, D associated with the Bessel operator S are defined. Symbol-classes are introduced. Product and commutators for the pseudo-differential operators are investigated.