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Avadhani, T. V.
- On the Summability of Eigenfunction Expansions I
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1 Andhra University, Wultair, IN
1 Andhra University, Wultair, IN
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The Journal of the Indian Mathematical Society, Vol 18, No 1 (1954), Pagination: 9-18Abstract
In the Euclidean space Ek of k dimensions (k ≥ 2) let D denote a bounded open domain whose boundary B is Assumed to be sufficiently regular, so that the following boundary value problem.- On Summation over Lattice Points
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1 Andhra University, Waltair, IN
1 Andhra University, Waltair, IN
Source
The Journal of the Indian Mathematical Society, Vol 16 (1952), Pagination: 103-125Abstract
The aim of this Paper is to study the Riesz summability of the series
Σ∞ nσ rk(n, h) (1)
n=0 and
Σ nσ Jr)(2πε√n) rk(n,h) (2)