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where pδ,−n(β, −m) denotes the (β, −m)-th coefficient of the Poincaré series. Pδ,−n ∈ Sκ,L. Hence the Fourier expansion of ξ(Z) can be written in the ...

http://www.springerlink.com/index/7ccg3g8gc8ktvfx9.pdf

o-ties of matrix Fourier seri~ such as the Rienwaln--Lebesgue matri~r property ... expansion problems, prediction theory ,ana m the reconstruction of matrix ...

http://www.springerlink.com/index/YM85147087452327.pdf

are the coefficients of cos(nx) and sin(nx) in the Fourier Series. They give n n information on "how important" the n-th mode is in the Fourier expansion. ...

http://ocw.mit.edu/NR/rdonlyres/Mathematics/18-385JFall-2004/2EDEC50A-EA28-41C6-A37B-9E7CA2AA4CCC/0/otans_four_stmt.pdf

by JH Zhang - 200917 Dec 2009 ... Consequently, we restrict the expansion used in this study to only .... optimized hardware architecture for more general operations in seri- ...

http://www.cas.cn/ky/kyjz/200912/W020091228761335802513.pdf

Wm(r/)ejmt. (17) m=--oo. By also taking the Fourier series expansion (8) of. F we arrive at the series of ordinary differential equations (ode) ...

http://ieeexplore.ieee.org/iel4/8/5794/00222284.pdf?arnumber=222284

a function admits a Fourier series expansion relative to t, such that [6]: Also, we can evaluate the Fourier transform of cov[z(t)z(t+r)] with respect to ...

http://ieeexplore.ieee.org/iel2/3878/11301/00512843.pdf?arnumber=512843

by D Zagier - 1986 - Cited by 28

http://www.kryakin.com/files/Invent_mat_(2_8)/83/83_18.pdf

by OK Zahide - 2008 - Related articles

http://library.iyte.edu.tr/tezler/master/matematik/T000751.pdf

terms in the Fourier Flexible Form, the Us and. Vs to the Fourier series expansion, and the As to the lagged shares y,,. These results describe reasonable ...

http://research.stlouisfed.org/publications/review/94/03/9403df.pdf

course, the familiar Fourier series expansion. In information theory Shannon's sampling theorem as- serts that for a band-limited signal, the signal can be ...

http://www.onepetro.org/google/Papers/SPWLA/Journals/1999/LOGANAL/1/1999-v40n1a1/1999v40n1a1.pdf?id=SPWLA-1999-v40n1a1&soc=SPWLA

followed by a seri es -, 43fr steamflood " and in situ combustion models " which have evolved to ... the heat balance with Fourier's and Darcy's equa- ..... 6—Effect of thermal expansion coefficient on oil recovery (Run 4). ...

http://www.onepetro.org/google/Papers/SPE/eLibrary_Papers/spe/1983/83RMR/00011849/00011849.pdf?id=00011849&soc=SPE

A Fourier series expansion localizes in frequency in that if a Fourier series expansion of a signal has only one large coefficient, then the signal is ...

http://www.jucs.org/jucs_15_5/a_neural_network_based/jucs_15_05_1119_1142_xiong.pdf

possibility of early introducing the expansion of a function into a Fourier's series. Mathematicians as a rule are so pre- occupied with contemplating the ...

http://www.ams.org/bull/1903-09-09/S0002-9904-1903-01029-5/S0002-9904-1903-01029-5.pdf

by NE Huang - Cited by 2629

http://keck.ucsf.edu/~schenk/Huang_etal98.pdf

by T Fujiwara - 1997 - Related articles

http://fujimac.t.u-tokyo.ac.jp/hoshi/doc/fujiwara-ultrasoft-jpsj66-1723-1997.pdf

tion makes a Fourier series expansion of the log-IID more natural [7]. The terms in a series expansion of a log-amplitude spectrum correspond to a cascade ...

http://interface.cipic.ucdavis.edu/PAPERS/Duda1993(ModelingHRTFs).pdf

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http://users.skynet.be/kurtgode/vacuum7(la)(S).pdf

where the subscript n denotes the Fourier expansion mode in the azimuthal angle. ... series (48) are given as asymptotic expressions, with a large argument: ...

http://journals.pepublishing.com/index/Y622VWJW5843076Q.pdf

(1981, 1982) Fourier series expansion and that the proposed approach regarding an increasing significance level L^ may be considered as a Bayesian approach. ...

http://dare.ubvu.vu.nl/bitstream/1871/11977/1/Scanjob_198800061.pdf

by EN ECONOMETRIE - 1988 - Related articles

http://dare.ubvu.vu.nl/bitstream/1871/11982/1/Scanjob_198800063.pdf

by M Goodwin - 1997 - Cited by 18

http://apas-fich.wdfiles.com/local--files/apuntes/GoodwinV97a.pdf

Numerical Prediction by搬e Quasi−double Fourier Series .... ノ召％，▽％26πare coef丑cients ofζ％where ζ＝Σ1ζ物 （obtaine（1by Fourier expansion）． ...

http://www.mri-jma.go.jp/Publish/Papers/DATA/VOL_05/05_144.pdf

cells poses quite often a technical difficulty that can seri- .... and ρK, a Fourier expansion offers a considerable practical advantage. On the other hand, ...

http://publications.edpsciences.org/articles/epjb/pdf/1998/06/b7180.pdf

Fourier series expansion. A remarkable and innovative characteristic of this software is the possibility to modify, by using user- ...

http://www.ibpsa.org/proceedings/BS2003/BS03_0139_146.pdf

by G Cuniberti - 2001 - Cited by 11

http://epub.uni-regensburg.de/1724/1/cuni20.pdf

cells poses quite often a technical difficulty that can seri- ..... of the Fourier expansion (17). Quite often, this constitutes ...

http://publish.edpsciences.com/articles/epjb/pdf/1998/06/b7180.pdf

grammar school and high school level is seri- ously defective. What changes to make re- ..... on the one hand, and the Fourier expansion of ...

http://www.math.ksu.edu/main/events/newsletter/news92.pdf

in terms of a Fourier–Bessel expansion and evaluated radial and tangential stresses ..... Seri 1. Seri 2. Figure 8. Residual stresses for T0 ž 80 C. ...

http://jrp.sagepub.com/cgi/reprint/24/1/21.pdf

by WR Greenberg - 1996 - Cited by 7

http://ntur.lib.ntu.edu.tw/bitstream/246246/164105/1/07.pdf

by PIN POLANDCHAPTER VIII. ELLIPTIC FUNCTIONS. § 1. General remarks about periodic functions . . . 356. § 2. Expansion of a periodic function in a Fourier series . . 360 ...

http://matwbn.icm.edu.pl/ksiazki/mon/mon28/mon2811.pdf

The following theorem gives the Fourier-Bessel seri-. - es expansion of generalized functions. Theorem 4.4 (Inversion). Let f € Fi and Fth, f. Then in ...

http://www.informaworld.com/index/778104475.pdf

In ordc5r to calculate the magnctic f j.e.ld, a Fourier serj.es expansion ... ~riphery; for each term of this expansion, the corresponding radia!. and tan- ..... AI into a Four,j.cr seri as, the gener*al harmonic of or- ...

http://www.informaworld.com/index/778921004.pdf

from the Fourier serI~s since zech higher term brings in higher order unknowt cI's. ... expansion for the accelerometer performance (eTuation 1) from the ...

http://www.stormingmedia.us/20/2077/0207706.pdf

the Gaussian beam expansion and Fourier series expansion reveals that the Gaussian expansion is a more general and more powerful technique. ...

http://www.stormingmedia.us/98/9803/A980382.pdf

reflexions calculated by numerical Fourier transfor- mation are compared with the temperature factors determined with the help of series expansion of the ...

http://journals.iucr.org/a/issues/1988/04/00/bx0241/bx0241.pdf

7.6 Expansion ofCino runction~io PO"'f< Series. Method of Undetermined. Coeffidtnt•. [xampl. ... CoeffICients Diffefentiation of Fourier. Series, 607 ...

http://library.itcs.tsinghua.edu.cn/uploads/soft/090929/2-0Z9291AZ7.pdf

the first terms in the Fourier expansion of the magnetiz- ation signal [l5]. .... four wires, must be properly interpreted to avoid seri- ...

http://www.iop.org/EJ/article/0957-0233/1/12/018/mtv1i12p1356.pdf

Here the aœs are coefficients of a Fourier expansion of the ..... recognize that many crucial parts of the picture are seri- ously incomplete. ...

http://www.iop.org/EJ/article/0004-637X/510/1/125/37931.web.pdf

by RONK UNZ - Cited by 4

http://www.slac.stanford.edu/cgi-wrap/getdoc/slac-pub-3663.pdf

as data the Af coefficients of expansion. It is known that tl ...... known function on the left, and a Fourier series on the right, ...

http://wearcam.org/gabor1946.pdf

Fourier series, with components dlW exp( — iNcot ), where dv is the complex dipole moment which .... the TTA the harmonic expansion of a Floquet state vec- ...

https://www.dur.ac.uk/r.m.potvliege/article/p.pdf

- All 6 versions

http://dspace.wul.waseda.ac.jp/dspace/bitstream/2065/28671/3/Honbun-4639.pdf

by M de Guzmán - Related articles

http://www.ems-ph.org/journals/newsletter/pdf/2006-09-61.pdf

the matched asymptotic expansion method with multiple time scales (5/V/gAM and aS/VgAm~) .... be expressed in the Fourier series of 6, i. e. ...

http://www.scichina.com:8081/sciAe/fileup/PDF/88ya0806.pdf

by WW WENDELL - Cited by 1

http://scholarship.rice.edu/bitstream/handle/1911/15228/7621695.PDF?sequence=1

by E KURPINAR - Related articles

http://sci.ege.edu.tr/~jfs/anote.pdf

by HC OMBAO - 2001 - Cited by 54

http://www.stat.uiuc.edu/~ombao/PAPERS.dir/nonsta-final.pdf

by R Lipton - Cited by 13

http://www.ima.umn.edu/preprints/scanned-preprint/preprints5/1400.pdf

For the same problem Shankar [6] considered an analytic series expansion .... Since these series satisfy the Dirichlef conditions for Fourier series ...

http://fbe.erciyes.edu.tr/MKA-2005/Dergi/2000-vol16-no-1-2/20-6.pdf

by TE Özkurt - Cited by 5

http://www.ee.bilkent.edu.tr/~signal/defevent/papers/cr1634.pdf