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Revisi per 27 September 2017 06.12 sunting Glorious Engine (bicara \| kontrib) 254.901 suntingan ←Membuat halaman berisi 'Dalam matematika, dua operator linear disebut '''isospektral''' atau '''kospektral''' jika mereka memiliki spektrum yang sama. Secara kes...'		Revisi terkini sejak 14 April 2023 18.13 sunting balikkan InternetArchiveBot (bicara \| kontrib) Bot 681.320 suntingan Rescuing 1 sources and tagging 0 as dead.) #IABot (v2.0.9.3
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Baris 4: == Referensi == * {{citation\|last=Bérard\|first=Pierre\|title=Variétés riemanniennes isospectrales non isométriques, exposé 705\|series=Séminaire Bourbaki\|volume=31\|year=1988–1989\|url=http://archive.numdam.org/ARCHIVE/SB/SB_1988-1989__31_/SB_1988-1989__31__127_0/SB_1988-1989__31__127_0.pdf\|postscript=<!--none-->}} * {{citation\|doi=10.2307/2322897\|title=Constructing Isospectral Manifolds \|first=Robert \|last= Brooks \|author1-link= Robert W. Brooks \|journal=American Mathematical Monthly\|volume= 95\|year= 1988\|pages=823–839\|issue=9\|publisher=Mathematical Association of America\|postscript=<!--none-->\|jstor=2322897}} * {{citation\|last=Buser\|first=Peter\|title=Isospectral Riemann surfaces\|journal=Annales de l'Institut Fourier \|year=1986\| url=http://archive.numdam.org/ARCHIVE/AIF/AIF_1986__36_2/AIF_1986__36_2_167_0/AIF_1986__36_2_167_0.pdf\| volume=36\|pages= 167–192\|postscript=<!--none-->\|doi=10.5802/aif.1054}} * {{citation\|first= Peter\|last= Buser\|first2= John\|last2= Conway\|first3= Peter\|last3= Doyle\|first4= Klaus-Dieter\|last4= Semmler\|title= Some planar isospectral domains\|journal= Int. Math. Res. Notices\|year= 1994\|pages= 391–400\|url= http://www.geom.uiuc.edu/docs/research/drums/cover/cover.html\|postscript= <!--none-->\|accessdate= 2017-09-27\|archive-date= 2019-02-20\|archive-url= https://web.archive.org/web/20190220184404/http://www.geom.uiuc.edu/docs/research/drums/cover/cover.html\|dead-url= yes}} * {{citation\|doi=10.1002/cpa.3160250302\|last=McKean\|first=H. P.\|title=Selberg's trace formula as applied to a compact Riemann surface\|journal=Comm. Pure Appl. Math.▼ ~~title=Some planar isospectral domains\|journal=Int. Math. Res. Notices\| year=1994\|pages= 391–400\|url=http://www.geom.uiuc.edu/docs/research/drums/cover/cover.html\|postscript=<!--none-->}}~~ ▲{{citation\|doi=10.1002/cpa.3160250302\|last=McKean\|first=H. P.\|title=Selberg's trace formula as applied to a compact Riemann surface\|journal=Comm. Pure Appl. Math. \|volume=25\|year=1972\|issue=3\|pages= 225–246\|postscript=<!--none-->}} {{citation\|title=The Arithmetic of Hyperbolic 3-manifolds\|first=C.\|last=Maclachlan\|first2= Alan W. \|last2=Reid\|publisher= Springer\|year= 2003 \|isbn=0387983864\|pages=383–394\|postscript=<!--none-->}}, * {{Citation \| doi=10.1073/pnas.51.4.542 \| first=John\|last=Milnor \| title=Eigenvalues of the Laplace operator on certain manifolds \| journal=Proc. Natl. Acad. Sci. USA \| volume=51 \| year=1964 \| pages=542 \| pmid=16591156 \| issue=4 \| pmc=300113 \| postscript=<!--none--> }} * {{Citation \| doi=10.2307/121026 \| first=D.\|last= Schueth \| title=Continuous families of isospectral metrics on simply connected manifolds \| journal=Annals of Mathematics \| volume=149 \| issue=1 \| year=1999 \| pages=287–308 \| postscript=<!--none--> \| jstor=121026 }} * {{citation\|last=Selberg\|first= Atle\|title=Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series\|journal=J. Indian Math. Soc.\|volume= 20\|year=1956\| pages=47–87\|postscript=<!--none-->}} * {{Citation \| doi=10.2307/1971195 \| first=T.\|last= Sunada \| title=Riemannian coverings and isospectral manifolds \| journal=Annals of Mathematics \| volume=121 \| issue=1 \| year=1985 \| pages=~~169–186~~169–186 \| postscript=<!--none--> \| jstor=1971195 }} * {{citation\|doi=10.2307/1971319\|first=Marie-France\|last=Vignéras\|title=Variétés riemanniennes isospectrales et non isométriques\|journal=Annals of Mathematics\|year=1980\|pages=21–32\| volume=112\|issue=1\|publisher=Annals of Mathematics\|postscript=<!--none-->\|jstor=1971319}} * {{citation\|doi=10.1090/S0002-9904-1977-14425-X\|last=Wolpert\|first=Scott\|title=The eigenvalue spectrum as moduli for compact Riemann surfaces\|journal=Bull. Amer. Math. Soc.\|volume= 83\|issue=6 \|year=1977\|pages= 1306–1308\|url=http://www.ams.org/bull/1977-83-06/S0002-9904-1977-14425-X/S0002-9904-1977-14425-X.pdf\|postscript=<!--none-->}} * {{citation\|doi=10.2307/1971114\|last=Wolpert\|first=Scott\|title=The length spectra as moduli for compact Riemann surfaces\|journal=Annals of Mathematics\|volume= 109\|issue=2\|year=1979\|pages= 323–351\|postscript=<!--none-->\|jstor=1971114}} [[Kategori:Teori spektral]]