An Interplay of Multidimensional Variations in Fourier Analysis

Author:

Liflyand E.,Stadtmüller U.,Trigub R.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Analysis

Reference24 articles.

1. Adams, C.R., Clarkson, J.A.: Properties of functions f(x,y) of bounded variation. Trans. Am. Math. Soc. 36, 711–730 (1934)

2. Ambrosio, L., Fusco, N., Pallara, D.: Functions of Bounded Variation and Free Discontinuity Problems. Clarendon, Oxford (2000)

3. Baron, S., Liflyand, E., Stadtmüller, U.: Complementary spaces and multipliers of double Fourier series for functions of bounded variation. J. Math. Anal. Appl. 250, 706–721 (2000)

4. Belinsky, E.S.: On asymptotic behavior of integral norms of trigonometric polynomials. Metric Quest. Theory Funct. Mapp. 6, 15–24 (1975) (Russian)

5. Belinsky, E.S., Dvejrin, M.Z., Malamud, M.M.: Multipliers in L 1 and estimates for systems of differential operators. Russ. J. Math. Phys. 12, 6–16 (2005)

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