Singular oscillatory integrals on $${\mathbb{R}^n}$$

Author:

Papadimitrakis M.,Parissis I. R.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference6 articles.

1. Arhipov, G.I., Karacuba, A.A., Čubarikov, V.N.: Trigonometric integrals. Izv. Akad. Nauk SSSR Ser. Mat. 43(5), 971–1003, 1197 (1979). MR MR552548 (81f:10050)

2. Carbery A., Wright J.: Distributional and L q norm inequalities for polynomials over convex bodies in $${\mathbb{R}^{n}}$$ . Math. Res. Lett. 8(3), 233–248 (2001) MR MR1839474 (2002h:26033)

3. Parissis I.R.: A sharp bound for the Stein-Wainger oscillatory integral. Proc. Am. Math. Soc. 136(3), 963–972 (2008) (electronic). MR MR2361870

4. Stein, E.M.: Oscillatory integrals in Fourier analysis. Beijing lectures in harmonic analysis (Beijing, 1984), Ann. Math. Stud. 112, 307–355 (1986). Princeton University Press, Princeton. MR MR864375 (88g:42022)

5. Stein, E.M.: Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals. Princeton Mathematical Series, vol. 43. Princeton University Press, Princeton, NJ (1993), With the assistance of Timothy S. Murphy, Monographs in Harmonic Analysis, III. MR MR1232192 (95c:42002)

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