Lectures of a Visiting Professor

Doctor of Science in Mathematics, Professor of Mathematical and Mechanical Faculty of Saint-Petersburg State University Vassili N. Malozemov will give lectures in May, 24-28 on the subject

"Discrete Walsh Functions. Fast Walsh Transform"

Key topics:

1. Space of discrete periodic signals. Basis of unit impulse shifts.
2. Definition of discrete Walsh functions, their pairwise orthogonality.
3. Walsh basis, its multiplicity.
4. Discrete Walsh transform. Inversion formula.
5. Theorem on dyadic convolution.
6. Recurrence sequence of orthogonal bases that reduces Walsh basis.
7. Fast Walsh transform.
8. Ordering Walsh functions in frequency.
9. Wavelet bases.
10. The Sampling Theorem in Walsh basis.

Schedule:

Graduate and post-graduate students, teachers, researches and all interested in the area are welcome.