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APPLIED FUNCTIONAL ANALYSIS
Code: 11531
ECTS: 6
Lecturers in charge: prof. dr. sc. Darko Žubrinić
English level:

1,1,1

All teaching activities in the course will be held on English. This level includes courses with multiple groups (i.e., all teaching will be held strictly in Croatian for Croatian groups, and strictly in English for English groups).
Description:
Hölder and Lebesgue spaces. Fractal dimensions: Hausdorff and Minkowski dimensions (box dimension). Fractal analysis of chirps. Spaces of distributions. Schwarz space of rapidly decreasing functions. Fourier transformation of distributions. Tempered distributions or distributions of slow growth. Weak derivatives. Sobolev spaces. Weak formulation of boundary value problems. Regularity of solutions. Galerkin method. Besov spaces and their role in wavelet theory.
Literature:
  1. Brezis H., Analyse fonctionelle, Théorie et applications, Masson, Paris 1983.
  2. Tricot C., Curves and Fractal Dimension, Springer-Verlag, 1995.
  3. Mitrović D., Žubrinić D., Fundamentals of Applied Functional Analysis, Pitman Monographs and Surveys in Pure and Applied Mathematics 91, Addison Wesley Longman, 1998.
Consultations schedule:
NEWS
FORUM
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