Abstract: Lebesgue and Walsh-Lebesgue points are introduced for higher dimensional functi proved that a.e. point is a (Walsh)-Lebesgue point of a function f from the space L(log L)d-1. Every function f ∈ L(logL)d-1 is Fejer summable at each (Walsh)-Lebesgue point.
Keywords: Lebesgue point, Walsh-Lebesgue point, Walsh functions, Fejér-summability.