Besicovitchova množina

• Thesis title in Czech: Besicovitchova množina
• Thesis title in English: Besicovitch set
• Academic year of topic announcement: 2008/2009
• Thesis type: Bachelor's thesis
• Thesis language: čeština
• Department: Department of Mathematical Analysis (32-KMA)
• Supervisor: doc. RNDr. Miroslav Zelený, Ph.D.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 17.10.2008
• Date of assignment: 31.10.2008
• Date and time of defence: 11.09.2009 00:00
• Date of electronic submission: 11.09.2009
• Date of proceeded defence: 11.09.2009
• Opponents: prof. RNDr. Jiří Spurný, Ph.D., DSc.

Guidelines

Student se seznámí s různými konstrukcemi Besicovitchovy množiny, motivací těchto konstrukcí
a souvisejícími otázkami v harmonické analýze.

References

I. Laba, From harmonic analysis to arithmetic combinatorics, Bull. Amer. Math. Soc. (N.S.) 45 (2008), no. 1, 77--115.
E. M. Stein, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton University Press, Princeton, 1993.

Preliminary scope of work

Student by se měl seznámit s konstrukcemi Besicovitchovy množiny a problémy, které s tímto pojmem souvisejí.

Preliminary scope of work in English

The student will study different constructions of Besicovitch sets and related problems.