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A note on maximal estimates for stochastic convolutions

Mark Veraar, Lutz Weis (2011)

Czechoslovak Mathematical Journal

In stochastic partial differential equations it is important to have pathwise regularity properties of stochastic convolutions. In this note we present a new sufficient condition for the pathwise continuity of stochastic convolutions in Banach spaces.

A Note on Multipliers for Integrable Boehmians

Nemzer, Dennis (2009)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 44A40, 42A38, 46F05The product of an entire function satisfying a growth condition at infinity and an integrable Boehmian is defined. Properties of this product are investigated.

A note on normal generation and generation of groups

Andreas Thom (2015)

Communications in Mathematics

In this note we study sets of normal generators of finitely presented residually p -finite groups. We show that if an infinite, finitely presented, residually p -finite group G is normally generated by g 1 , ⋯ , g k with order n 1 , ⋯ , n k ∈ { 1 , 2 , ⋯ } ∪ { ∞ } , then β 1 ( 2 ) ( G ) ≤ k - 1 - ∑ i = 1 k 1 n i , where β 1 ( 2 ) ( G ) denotes the first ℓ 2 -Betti number of G . We also show that any k -generated group with β 1 ( 2 ) ( G ) ≥ k - 1 - ε must have girth greater than or equal 1 / ε .

Currently displaying 581 – 600 of 13204