Mehrenberger, Michel:
Critical length for a Beurling type theorem
Bollettino dell'Unione Matematica Italiana Serie 8 8-B (2005), fasc. n.1, p. 251-258, Unione Matematica Italiana (English)
pdf (229 Kb), djvu (103 Kb). | MR2122984 | Zbl 1140.42013
Sunto
In un lavoro recente [3] C. Baiocchi, V. Komornik e P. Loreti hanno ottenuto una generalizzazione dell'identità di Parseval utilizzando delle differenze divise. Noi dimostriamo l'ottimalità del loro teorema.
Referenze Bibliografiche
[1]
S. A. AVDONIN -
S. A. IVANOV,
Exponential Riesz bases of subspaces and divided differences,
St. Petersburg Math. J.,
13 (3) (
2002), 339-351. |
MR 1850184 |
Zbl 0999.42018[3]
C. BAIOCCHI -
V. KOMORNIK -
P. LORETI,
Ingham-Beurling type theorems with weakened gap conditions,
Acta Math. Hungar.,
97 (1-2) (
2000), 55-95. |
MR 1932795 |
Zbl 1012.42022[4]
K. GRÖCHENIG -
H. RAZAFINJATOVO,
On Landaus necessary density conditions for sampling and interpolation of band-limited functions,
J. London Math. Soc. (2),
54 (
1996), 557-565. |
MR 1413898 |
Zbl 0893.42017[5]
H. J. LANDAU,
Necessary density conditions for sampling and interpolation of certain entire functions,
Acta Math.,
117 (
1967), 37-52. |
MR 222554 |
Zbl 0154.15301[6]
K. SEIP,
On the Connection between Exponential Bases and Certains Related Sequences in $L^2 (2\pi, \pi)$,
Journal of Functional Analysis,
130 (
1995), 131-160. |
MR 1331980 |
Zbl 0872.46006[7]
D. ULLRICH,
Divided differences and system of nonharmonic Fourier series,
Proc. Amer. Math. Soc.,
80 (
1980), 47-57. |
MR 574507 |
Zbl 0448.42009[8]
R. M. YOUNG,
An Introduction to Nonharmonic Fourier Series,
Academic Press, New York,
1980. |
MR 591684 |
Zbl 0981.42001