Title:
|
Abelova cena v roce 2017 udělena za teorii waveletů (Czech) |
Title:
|
The 2017 Abel Prize awarded for wavelet theory (English) |
Author:
|
Křížek, Michal |
Language:
|
Czech |
Journal:
|
Pokroky matematiky, fyziky a astronomie |
ISSN:
|
0032-2423 |
Volume:
|
62 |
Issue:
|
3 |
Year:
|
2017 |
Pages:
|
161-170 |
Summary lang:
|
Czech |
. |
Category:
|
math |
. |
Summary:
|
Abelovu cenu za matematiku získal v roce 2017 francouzský matematik Yves Meyer za rozvoj teorie waveletů. V článku se seznámíme s jeho vědeckým životopisem, hlavní myšlenkou teorie waveletů a jejich použitím v praxi. (Czech) |
MSC:
|
00A15 |
MSC:
|
42C40 |
idZBL:
|
Zbl 06813576 |
. |
Date available:
|
2017-11-06T15:33:12Z |
Last updated:
|
2022-08-03 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146921 |
. |
Reference:
|
[1] Abbott, B. P., et al.: Observation of gravitational waves from a binary black hole merger.. Phys. Rev. Lett. 116 (2016), paper No. 061102, 1–16. MR 3707758 |
Reference:
|
[2] Brislawn, C. M.: Fingerprints go digital.. Notices Amer. Math. Soc. 42 (1995), 1278–1283. |
Reference:
|
[3] Daubechies, I.: Ten lectures on wavelets.. SIAM, CBMS Lecture Notes 61 (1992). Zbl 0776.42018, MR 1162107 |
Reference:
|
[4] Daubechies, I., Grossmann, A., Meyer, Y.: Painless nonorthogonal expansions.. J. Math. Phys. 27 (1986), 1271–1283. Zbl 0608.46014, MR 0836025 |
Reference:
|
[5] Frazier, M. W.: An introduction to wavelets through linear algebra.. Springer, New York, 1999. Zbl 0968.42021, MR 1692229 |
Reference:
|
[6] Graps, A.: An introduction to wavelets.. IEEE, 1995. |
Reference:
|
[7] Klimenko, S., et al.: Method for detection and reconstruction of gravitational wave transient with networks of advanced detectors.. Phys. Rev. D 93 (2016), paper No. 042004. 10.1103/PhysRevD.93.042004 |
Reference:
|
[8] Koukal, S., Křížek, M., Potůček, R.: Fourierovy trigonometrické řady a metoda konečných prvků v komplexním oboru.. Academia, Praha, 2002. |
Reference:
|
[9] Křížek, M., Somer, L., Šolcová, A.: Kouzlo čísel: Od velkých objevů k aplikacím.. Edice Galileo, sv. 39. Academia, Praha, 2011. |
Reference:
|
[10] Meyer, Y.: Nombres de Pisot, nombres de Salem et analyse harmonique.. Lecture Notes in Math. 117, Springer-Verlag, 1970. Zbl 0189.14301, MR 0568288 |
Reference:
|
[11] Meyer, Y.: Algebraic numbers and harmonic analysis.. North-Holland, Amsterdam, 1972. Zbl 0267.43001, MR 0485769 |
Reference:
|
[12] Meyer, Y.: Wavelets, quadrature mirror filters and numerical image processing.. Les ondelettes en 1989 (Orsay, 1989), Lecture Notes in Math. 1438, Springer, Berlin, 1990, 14–25, 196–197. MR 1083580, 10.1007/BFb0083512 |
Reference:
|
[13] Meyer, Y.: Wavelets and operators.. Cambridge Stud. Adv. Math. 37, Cambridge Univ. Press, Cambridge, 1992. Zbl 0776.42019, MR 1228209 |
Reference:
|
[14] Meyer, Y.: Wavelets. Algorithms & applications.. SIAM, Philadelphia, 1993. MR 1219953 |
Reference:
|
[15] Meyer, Y.: Quasicrystals, Diophantine approximation and algebraic numbers. Beyond Quasicrystals.. Axel, F., Gratias, D. (eds.), Les Editions de Physique, Springer, 1995, 3–16. MR 1420415 |
Reference:
|
[16] Meyer, Y., Coifman, R.: Wavelets. Calderón–Zygmund and multilinear operators.. Cambridge Stud. Adv. Math. 48, Cambridge Univ. Press, Cambridge, 1997. Zbl 0916.42023, MR 1456993 |
Reference:
|
[17] Najzar, K.: Základy teorie waveletů.. Karolinum, Praha, 2004. |
Reference:
|
[18] Najzar, K., Holman, P.: Wavelets.. Pokroky Mat. Fyz. Astronom. 44 (1999), 294–303. Zbl 1048.42029 |
Reference:
|
[19] Nečas, J.: Les méthodes directes en théorie des équations elliptiques.. Academia, Prague, 1967. MR 0227584 |
Reference:
|
[20] Szabó, B., Babuška, I.: Finite element analysis.. John Wiley, New York, 1991. Zbl 0792.73003, MR 1164869 |
Reference:
|
[21] Vand, V.: Magnifying 100 million times.. The Meccano Magazine 36 (1951), 247. |
Reference:
|
[22] Walnut, F. W.: An introduction to wavelet theory.. Appl. Numer. Harmon. Anal., Birkhäuser, Boston, 2002. MR 1854350 |
Reference:
|
[23] Wojtaszczyk, P.: Mathematical introduction to wavelets.. Cambridge Univ. Press, Cambridge, 1997. Zbl 0865.42026, MR 1436437 |
Reference:
|
[24] The Abel Prize: The Abel Prize.http://www.abelprize.no |
. |