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math.FA2026
Products and Convolutions in Hermite-Sobolev spaces
Suprio Bhar, Rajeev Bhaskaran
In this paper, we show that the product, or equivalently the convolutions of two functions in the Hermite-Sobolev spaces is again in the same space, f…
math.FA2025
New Approaches to the Monotonicity Inequality for Linear Stochastic PDEs
Suprio Bhar, Arvind Kumar Nath
The Monotonicity inequality is an important tool in the understanding of existence and uniqueness of strong solutions for Stochastic PDEs. In this article, we discuss three approac…