Giancarlo Travaglini is Professor of Mathematics at the University of Milano-Bicocca. He is the author of numerous research papers and several books in the areas of abstract harmonic analysis, Fourier analysis and discrepancy theory. He is a member of the Unione Matematica Italiana and the American Mathematical Society. His current mathematical interests include Fourier analysis, discrepancy theory, radon transforms and didactics of mathematics.
Inhaltsangabe
Part I. Elementary Number Theory: 1. Prelude 2. Arithmetic functions and integer points 3. Congruences 4. Quadratic reciprocity and Fourier series 5. Sums of squares Part II. Fourier Analysis and Geometric Discrepancy: 6. Uniform distribution and completeness of the trigonometric system 7. Discrepancy and trigonometric approximation 8. Integer points and Poisson summation formula 9. Integer points and exponential sums 10. Geometric discrepancy and decay of Fourier transforms 11. Discrepancy in high dimension and Bessel functions References Index.
Part I. Elementary Number Theory: 1. Prelude 2. Arithmetic functions and integer points 3. Congruences 4. Quadratic reciprocity and Fourier series 5. Sums of squares Part II. Fourier Analysis and Geometric Discrepancy: 6. Uniform distribution and completeness of the trigonometric system 7. Discrepancy and trigonometric approximation 8. Integer points and Poisson summation formula 9. Integer points and exponential sums 10. Geometric discrepancy and decay of Fourier transforms 11. Discrepancy in high dimension and Bessel functions References Index.
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