scholarly journals QUANTUM DIFFERENTIAL OPERATORS ON

2021 ◽  
Vol 132 (2) ◽  
pp. 103-109
Author(s):  
G. K. Rao
Keyword(s):  
Differential Operators ◽  
Quantum Differential Operators

QUANTUM DIFFERENTIAL OPERATORS ON ${\mathbb K} [ x ]$

2002 ◽  
Vol 13 (04) ◽  
pp. 395-413 ◽  
Author(s):  
UMA N. IYER ◽  
TIMOTHY C. MCCUNE
Keyword(s):  
Polynomial Ring ◽  
Differential Operators ◽  
Quantum Differential Operators

Following the definition given in [6], we compute the ring of quantum differential operators on the polynomial ring in 1 variable. We further study this ring.

scholarly journals Formal confluence of quantum differential operators

2018 ◽  
Vol 292 (2) ◽  
pp. 427-478 ◽  
Author(s):  
Bernard Le Stum ◽  
Adolfo Quirós Gracián
Keyword(s):  
Differential Operators ◽  
Quantum Differential Operators

scholarly journals Quantum differential operators on the quantum plane

2003 ◽  
Vol 260 (2) ◽  
pp. 577-591 ◽  
Author(s):  
Uma N. Iyer ◽  
Timothy C. McCune
Keyword(s):  
Differential Operators ◽  
Quantum Plane ◽  
Quantum Differential Operators

The Calder´on-Zygmund Theory I: Ellipticity

2017 ◽  
Author(s):  
Brian Street
Keyword(s):  
Classical Theory ◽  
Singular Integral ◽  
Singular Integrals ◽  
Differential Operators ◽  
Integral Operators ◽  
Singular Integral Operators ◽  
Single Parameter ◽  
Partial Differential ◽  
Translation Invariant ◽  
Partial Differential Operators

This chapter discusses a case for single-parameter singular integral operators, where ρ‎ is the usual distance on ℝn. There, we obtain the most classical theory of singular integrals, which is useful for studying elliptic partial differential operators. The chapter defines singular integral operators in three equivalent ways. This trichotomy can be seen three times, in increasing generality: Theorems 1.1.23, 1.1.26, and 1.2.10. This trichotomy is developed even when the operators are not translation invariant (many authors discuss such ideas only for translation invariant, or nearly translation invariant operators). It also presents these ideas in a slightly different way than is usual, which helps to motivate later results and definitions.

Sign in / Sign up

Export Citation Format

Share Document