scholarly journals The positive maximum principle on Lie groups

2019 ◽  
Vol 101 (1) ◽  
pp. 136-155 ◽  
Author(s):  
David Applebaum ◽  
Trang Le Ngan
Keyword(s):  
Maximum Principle ◽  
Lie Groups ◽  
Positive Maximum

scholarly journals A discrete-time Pontryagin maximum principle on matrix Lie groups

Automatica ◽  
2018 ◽  
Vol 97 ◽  
pp. 376-391 ◽  
Author(s):  
Karmvir Singh Phogat ◽  
Debasish Chatterjee ◽  
Ravi N. Banavar
Keyword(s):  
Maximum Principle ◽  
Lie Groups ◽  
Discrete Time ◽  
Pontryagin Maximum Principle

scholarly journals The positive maximum principle on symmetric spaces

Positivity ◽  
2020 ◽  
Vol 24 (5) ◽  
pp. 1519-1533
Author(s):  
David Applebaum ◽  
Trang Le Ngan
Keyword(s):  
Maximum Principle ◽  
Symmetric Space ◽  
Symmetric Spaces ◽  
Differential Operators ◽  
Continuous Functions ◽  
Linear Operators ◽  
Space Of Continuous Functions ◽  
Positive Maximum ◽  
Space Applications ◽  
Pseudo Differential Operators

Abstract We investigate the Courrège theorem in the context of linear operators that satisfy the positive maximum principle on a space of continuous functions over a symmetric space. Applications are given to Feller–Markov processes. We also introduce Gangolli operators, which satisfy the positive maximum principle, and generalise the form associated with the generator of a Lévy process on a symmetric space. When the space is compact, we show that Gangolli operators are pseudo-differential operators having scalar symbols.

scholarly journals A frequency-constrained geometric Pontryagin maximum principle on matrix Lie groups

2018 ◽  
Author(s):  
Shruti Kotpalliwar ◽  
Pradyumna Paruchuri ◽  
Karmvir Singh Phogat ◽  
Debasish Chatterjee ◽  
Ravi Banavar
Keyword(s):  
Maximum Principle ◽  
Lie Groups ◽  
Pontryagin Maximum Principle

scholarly journals A frequency‐constrained geometric Pontryagin maximum principle on matrix Lie groups

2020 ◽  
Vol 30 (15) ◽  
pp. 6281-6297
Author(s):  
Pradyumna Paruchuri ◽  
Shruti Kotpalliwar ◽  
Karmvir Singh Phogat ◽  
Debasish Chatterjee ◽  
Ravi Banavar
Keyword(s):  
Maximum Principle ◽  
Lie Groups ◽  
Pontryagin Maximum Principle
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