Sozanov, V. G. On Riesz summability of continuous functions from Nikol’skij classes with a mixed norm. (Russian) Zbl 1050.47034 Vladikavkaz. Mat. Zh. 4, No. 2, 57-64 (2002). For a continuous function from a Nikol’skij class with a mixed norm, the author proves that the Riesz averages of the spectral decomposition of a function converge uniformly on compacts to the function itself. Reviewer: N. A. Kudryavtseva (Novosibirsk) MSC: 47B40 Spectral operators, decomposable operators, well-bounded operators, etc. Keywords:Laplace operator; spectral decomposition; uniform convergence; Riesz average × Cite Format Result Cite Review PDF