scholarly journals Quantizations and symbolic calculus over the $p$-adic numbers

1993 ◽  
Vol 43 (4) ◽  
pp. 997-1053 ◽  
Author(s):  
Shai Haran
Keyword(s):  
Symbolic Calculus

Symbolic Calculus and Boundedness of Multi-parameter and Multi-linear Pseudo-differential Operators

2014 ◽  
Vol 14 (4) ◽  
Author(s):  
Qing Hong ◽  
Guozhen Lu
Keyword(s):  
Partial Differential Equations ◽  
Differential Operators ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Regularity Of Solutions ◽  
Symbolic Calculus ◽  
Pseudo Differential Operators ◽  
Analysis Theory ◽  
Modern Analysis ◽  
Satisfactory Theory

AbstractSince the work of Hörmander on linear pseudo-differential operators, the applications of pseudo-differential operators have played an important role in partial differential equations, harmonic analysis, theory of several complex variables and other branches of modern analysis (e.g., they are used to construct parametrices and establish the regularity of solutions to PDEs such as the ∂̅ problem, etc.). The work of Coifman and Meyer on multi-linear Fourier multipliers and pseudo-differential operators has stimulated further such applications. In [2], the authors developed a fairly satisfactory theory of symbolic calculus for multi-linear pseudo-differential operators. Motivated by this work [2] and L

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