Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part I: Schrödinger Equations.
J. Bourgain (1993)
Geometric and functional analysis
Andrew Grant (1987)
Časopis pro pěstování matematiky
Charles Swartz (1973)
Studia Mathematica
Younis, M.S. (1986)
International Journal of Mathematics and Mathematical Sciences
Carlos Lemoine (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Younis, M.S. (2001)
International Journal of Mathematics and Mathematical Sciences
Younis, M.S. (1998)
International Journal of Mathematics and Mathematical Sciences
Thomas W. Körner (2009)
Annales de l’institut Fourier
We investigate the relation between the rate of decrease of a Fourier transform and the possible algebraic relations on its support.
Mantica, Giorgio (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Aggarwala, B.D. (1995)
International Journal of Mathematics and Mathematical Sciences
M. Berisha, H. Turku, M. Rajović (1984)
Matematički Vesnik
Astashkin, S.V. (2000)
Siberian Mathematical Journal
Klaus Hallatschek (1992)
Numerische Mathematik
Aparajita Dasgupta, M. W. Wong (2010)
Banach Center Publications
The sub-Laplacian on the Heisenberg group is first decomposed into twisted Laplacians parametrized by Planck's constant. Using Fourier-Wigner transforms so parametrized, we prove that the twisted Laplacians are globally hypoelliptic in the setting of tempered distributions. This result on global hypoellipticity is then used to obtain Liouville's theorems for harmonic functions for the sub-Laplacian on the Heisenberg group.
Lang, W.Christopher (1998)
International Journal of Mathematics and Mathematical Sciences
Navascues, M.A. (2005)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Matthias Holschneider (1994)
Recherche Coopérative sur Programme n°25
Cattani, Carlo (2010)
Mathematical Problems in Engineering
Wen Yuan, Yufeng Lu, Dachun Yang (2015)
Studia Mathematica
In this article, via fractional Hajłasz gradients, the authors introduce a class of fractional Hajłasz-Morrey-Sobolev spaces, and investigate the relations among these spaces, (grand) Morrey-Triebel-Lizorkin spaces and Triebel-Lizorkin-type spaces on both Euclidean spaces and RD-spaces.
Katsuo Matsuoka, Eiichi Nakai (2011)
Banach Center Publications
We introduce function spaces with Morrey-Campanato norms, which unify , and Morrey-Campanato spaces, and prove the boundedness of the fractional integral operator on these spaces.