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Displaying similar documents to “Schwartz's theorem on mean periodic vector-valued functions”

Solutions of Analytical Systems of Partial Differential Equations

Trenčevski, K. (1995)

Serdica Mathematical Journal

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In this paper are examined some classes of linear and non-linear analytical systems of partial differential equations. Compatibility conditions are found and if they are satisfied, the solutions are given as functional series in a neighborhood of a given point (x = 0).

Some new Hardy spaces L ² H R q ( ℝ ² + × ℝ ² + ) (0 < q ≤ 1)

Dachun Yang (1994)

Studia Mathematica

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For 0 < q ≤ 1, the author introduces a new Hardy space L ² H ℝ q ( ℝ ² + × ℝ ² + ) on the product domain, and gives its generalized Lusin-area characterization. From this characterization, a φ-transform characterization in M. Frazier and B. Jawerth’s sense is deduced.

The new properties of the theta functions

Stefan Czekalski (2013)

Annales mathématiques Blaise Pascal

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It is shown, that the function H ( x ) = ∑ k = - ∞ ∞ e - k 2 x satisfies the relation H ( x ) = ∑ n = 0 ∞ ( 2 π ) 2 n ( 2 n ) ! H ( n ) ( x ) .