On the L 1 norm of exponential sums

S. K. Pichorides

Annales de l'institut Fourier (1980)

  • Volume: 30, Issue: 2, page 79-89
  • ISSN: 0373-0956

Abstract

top
The L 1 norm of a trigonometric polynomial with N non zero coefficients of absolute value not less than 1 exceeds a fixed positive multiple of C ( log N ) / ( log log N ) 2 .

How to cite

top

Pichorides, S. K.. "On the $L^1$ norm of exponential sums." Annales de l'institut Fourier 30.2 (1980): 79-89. <http://eudml.org/doc/74451>.

@article{Pichorides1980,
abstract = {The $L^1$ norm of a trigonometric polynomial with $N$ non zero coefficients of absolute value not less than 1 exceeds a fixed positive multiple of $C\,(\{\rm log\}\, N)/(\{\rm log\}\,\{\rm log\}\, N)^2.$},
author = {Pichorides, S. K.},
journal = {Annales de l'institut Fourier},
keywords = {L1 norm; exponential sums},
language = {eng},
number = {2},
pages = {79-89},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the $L^1$ norm of exponential sums},
url = {http://eudml.org/doc/74451},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Pichorides, S. K.
TI - On the $L^1$ norm of exponential sums
JO - Annales de l'institut Fourier
PY - 1980
PB - Association des Annales de l'Institut Fourier
VL - 30
IS - 2
SP - 79
EP - 89
AB - The $L^1$ norm of a trigonometric polynomial with $N$ non zero coefficients of absolute value not less than 1 exceeds a fixed positive multiple of $C\,({\rm log}\, N)/({\rm log}\,{\rm log}\, N)^2.$
LA - eng
KW - L1 norm; exponential sums
UR - http://eudml.org/doc/74451
ER -

References

top
  1. [1] J. F. FOURIER, On a theorem of Paley and the Littlewood conjecture, To appear in Arkiv för Matematik. 
  2. [2] S. K. PICHORIDES, On a conjecture of Littlewood concerning exponential sums (I), Bull. Greek Math. Soc., Vol. 18 (1977), 8-16. Zbl0408.10025MR80d:10057a
  3. [3] S. K. PICHORIDES, On a conjecture of Littlewood concerning exponential suns (II), Bull. Greek Math. Soc., Vol. 19 (1978), 274-277. Zbl0421.10025MR80d:10057b
  4. [4] A. ZYGMUND, Trigonometric Series. Vol. I, II. Cambridge University Press, 1968. October 1979. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.