Fourier transform, L 2 restriction theorem, and scaling

Alex Iosevich

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 2, page 383-387
  • ISSN: 0392-4041

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Iosevich, Alex. "Fourier transform, $L^2$ restriction theorem, and scaling." Bollettino dell'Unione Matematica Italiana 2-B.2 (1999): 383-387. <http://eudml.org/doc/195474>.

@article{Iosevich1999,
author = {Iosevich, Alex},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {restriction theorem; Fourier transform; hypersurface; decay; norm inequality},
language = {eng},
month = {6},
number = {2},
pages = {383-387},
publisher = {Unione Matematica Italiana},
title = {Fourier transform, $L^2$ restriction theorem, and scaling},
url = {http://eudml.org/doc/195474},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Iosevich, Alex
TI - Fourier transform, $L^2$ restriction theorem, and scaling
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/6//
PB - Unione Matematica Italiana
VL - 2-B
IS - 2
SP - 383
EP - 387
LA - eng
KW - restriction theorem; Fourier transform; hypersurface; decay; norm inequality
UR - http://eudml.org/doc/195474
ER -

References

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  1. BRUNA, J.- NAGEL, A.- WAINGER, S., Convex hypersurfaces and Fourier transform, Ann. Math., 127 (1988), 333-365. Zbl0666.42010MR932301
  2. GREENLEAF, A., Principal curvature and harmonic analysis, Indiana Math J., 30 (1982), 519-537. Zbl0517.42029MR620265
  3. IOSEVICH, A.- SAWYER, E., Oscillatory integrals and maximal averaging operators associated to homogeneous hypersurfaces, Duke Math J., 82 (1996). Zbl0898.42004MR1387224
  4. IOSEVICH, A.- SAWYER, E., Maximal averages over surfaces, to appear in Adv. Math. (1996). Zbl0921.42015MR1488239
  5. SCHULZ, H., Convex hypersurfaces of finite type and the asymptotics of their Fourier transforms, Indiana Univ. Math. J., 40 (1991). Zbl0758.42007MR1142714
  6. STEIN, E. M., Harmonic Analysis in R n (Proc. Conf. De Paul University), Math. Assoc. Am. Studies in Math., 13 (1976). Zbl0337.42016MR461002
  7. TOMAS, P., A restriction theorem for the Fourier transform, Bull. Am. Math. Soc., 81 (1975), 477-478. Zbl0298.42011MR358216

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