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math.DS2018
Dynamics of multipliers on harmonic manifolds
Kingshook Biswas, Rudra P. Sarkar
Let be a complete, simply connected harmonic manifold with sectional curvatures satisfying . In \cite{biswas6}, a Fourier transform was defined for functions on…
math.FA2018★ 2 cited
Chaotic behaviour of the Fourier multipliers on Riemannian symmetric spaces of noncompact type
Swagato K. Ray, Rudra P. Sarkar
Let be a Riemannian symmetric space of noncompact type and be a linear translation-invariant operator which is bounded on . We shall show that if is not a const…