operator symbols
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scholarly journals Operator Symbols and Operator Indices

Symmetry ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 64
Author(s):  
Vladimir Vasilyev
Keyword(s):  
Banach Spaces ◽  
Differential Operators ◽  
Index Theorem ◽  
Symbolic Calculus ◽  
Smooth Manifolds ◽  
Bounded Operators ◽  
Pseudo Differential Operators ◽  
Operator Symbols ◽  
Special Classes

We suggest a certain variant of symbolic calculus for special classes of linear bounded operators acting in Banach spaces. According to the calculus we formulate an index theorem and give applications to elliptic pseudo-differential operators on smooth manifolds with non-smooth boundaries.

Heisenberg–Weyl group and the theory of operator symbols

2014 ◽  
pp. 426-452
Author(s):  
E. R. Tracy ◽  
A. J. Brizard ◽  
A. S. Richardson ◽  
A. N. Kaufman
Keyword(s):  
Weyl Group ◽  
Operator Symbols

Exact constructions of square-root Helmholtz operator symbols: The focusing quadratic profile

2000 ◽  
Vol 41 (7) ◽  
pp. 4881-4938 ◽  
Author(s):  
Louis Fishman ◽  
Maarten V. de Hoop ◽  
Mattheus J. N. van Stralen
Keyword(s):  
Square Root ◽  
Helmholtz Operator ◽  
Operator Symbols
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