Finding Solution Subspaces of the Laplace and Heat Equations Isometric to Spaces of Real Functions, and Some of Their Applications

Author:

Bushev D. N.,Kharkevich Yu. I.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference18 articles.

1. D. M. Bushev, “Isometry of the function spaces with different number of variables,” Ukrainian Math. J. 50 (8), 1170–1191 (1998).

2. D. M. Bushev and Yu. I. Kharkevych, “Conditions of convergence almost everywhere for the convolution of a function with delta-shaped kernel to this function,” UkrainianMath. J. 67 (11), 1643–1661 (2015).

3. É. L. Shtark, “The complete asymptotic expansion for the measure of approximation of Abel-Poisson’s singular integral for Lip 1,” Mat. Zametki 13 (1), 21–28 (1973) [Math. Notes 13 (1), 14–16 (1973)].

4. L. P. Falaleev, “Approximation of conjugate functions by generalized Abel-Poisson operators,” Mat. Zametki 67 (4), 595–602 (2000) [Math. Notes 67 (4), 505–511 (2000)].

5. V. A. Baskakov, “Some properties of operators of Abel-Poisson type,” Mat. Zametki 17 (2), 169–180 (1975) [Math. Notes 17 (2), 101–107 (1975)].

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