Andreas Defant, Domingo García, Manuel Maestre
Dirichlet Series and Holomorphic Functions in High Dimensions
Andreas Defant, Domingo García, Manuel Maestre
Dirichlet Series and Holomorphic Functions in High Dimensions
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Using contemporary concepts, this book describes the interaction between Dirichlet series and holomorphic functions in high dimensions.
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Using contemporary concepts, this book describes the interaction between Dirichlet series and holomorphic functions in high dimensions.
Produktdetails
- Produktdetails
- Verlag: Cambridge University Press
- Seitenzahl: 710
- Erscheinungstermin: 8. August 2019
- Englisch
- Abmessung: 235mm x 157mm x 46mm
- Gewicht: 1288g
- ISBN-13: 9781108476713
- ISBN-10: 1108476716
- Artikelnr.: 54847964
- Verlag: Cambridge University Press
- Seitenzahl: 710
- Erscheinungstermin: 8. August 2019
- Englisch
- Abmessung: 235mm x 157mm x 46mm
- Gewicht: 1288g
- ISBN-13: 9781108476713
- ISBN-10: 1108476716
- Artikelnr.: 54847964
Andreas Defant is Professor of Mathematics at Carl V. Ossietzky Universität Oldenburg, Germany.
Introduction
Part I. Bohr's Problem and Complex Analysis on Polydiscs: 1. The absolute convergence problem
2. Holomorphic functions on polydiscs
3. Bohr's vision
4. Solution to the problem
5. The Fourier analysis point of view
6. Inequalities I
7. Probabilistic tools I
8. Multidimensional Bohr radii
9. Strips under the microscope
10. Monomial convergence of holomorphic functions
11. Hardy spaces of Dirichlet series
12. Bohr's problem in Hardy spaces
13. Hardy spaces and holomorphy
Part II. Advanced Toolbox: 14. Selected topics on Banach space theory
15. Infinite dimensional holomorphy
16. Tensor products
17. Probabilistic tools II
Part III. Replacing Polydiscs by Other Balls: 18. Hardy-Littlewood inequality
19. Bohr radii in lp spaces and unconditionality
20. Monomial convergence in Banach sequence spaces
21. Dineen's problem
22. Back to Bohr radii
Part IV. Vector-Valued Aspects: 23. Functions of one variable
24. Vector-valued Hardy spaces
25. Inequalities IV
26. Bohr's problem for vector-valued Dirichlet series
References
List of symbols
Subject index.
Part I. Bohr's Problem and Complex Analysis on Polydiscs: 1. The absolute convergence problem
2. Holomorphic functions on polydiscs
3. Bohr's vision
4. Solution to the problem
5. The Fourier analysis point of view
6. Inequalities I
7. Probabilistic tools I
8. Multidimensional Bohr radii
9. Strips under the microscope
10. Monomial convergence of holomorphic functions
11. Hardy spaces of Dirichlet series
12. Bohr's problem in Hardy spaces
13. Hardy spaces and holomorphy
Part II. Advanced Toolbox: 14. Selected topics on Banach space theory
15. Infinite dimensional holomorphy
16. Tensor products
17. Probabilistic tools II
Part III. Replacing Polydiscs by Other Balls: 18. Hardy-Littlewood inequality
19. Bohr radii in lp spaces and unconditionality
20. Monomial convergence in Banach sequence spaces
21. Dineen's problem
22. Back to Bohr radii
Part IV. Vector-Valued Aspects: 23. Functions of one variable
24. Vector-valued Hardy spaces
25. Inequalities IV
26. Bohr's problem for vector-valued Dirichlet series
References
List of symbols
Subject index.
Introduction
Part I. Bohr's Problem and Complex Analysis on Polydiscs: 1. The absolute convergence problem
2. Holomorphic functions on polydiscs
3. Bohr's vision
4. Solution to the problem
5. The Fourier analysis point of view
6. Inequalities I
7. Probabilistic tools I
8. Multidimensional Bohr radii
9. Strips under the microscope
10. Monomial convergence of holomorphic functions
11. Hardy spaces of Dirichlet series
12. Bohr's problem in Hardy spaces
13. Hardy spaces and holomorphy
Part II. Advanced Toolbox: 14. Selected topics on Banach space theory
15. Infinite dimensional holomorphy
16. Tensor products
17. Probabilistic tools II
Part III. Replacing Polydiscs by Other Balls: 18. Hardy-Littlewood inequality
19. Bohr radii in lp spaces and unconditionality
20. Monomial convergence in Banach sequence spaces
21. Dineen's problem
22. Back to Bohr radii
Part IV. Vector-Valued Aspects: 23. Functions of one variable
24. Vector-valued Hardy spaces
25. Inequalities IV
26. Bohr's problem for vector-valued Dirichlet series
References
List of symbols
Subject index.
Part I. Bohr's Problem and Complex Analysis on Polydiscs: 1. The absolute convergence problem
2. Holomorphic functions on polydiscs
3. Bohr's vision
4. Solution to the problem
5. The Fourier analysis point of view
6. Inequalities I
7. Probabilistic tools I
8. Multidimensional Bohr radii
9. Strips under the microscope
10. Monomial convergence of holomorphic functions
11. Hardy spaces of Dirichlet series
12. Bohr's problem in Hardy spaces
13. Hardy spaces and holomorphy
Part II. Advanced Toolbox: 14. Selected topics on Banach space theory
15. Infinite dimensional holomorphy
16. Tensor products
17. Probabilistic tools II
Part III. Replacing Polydiscs by Other Balls: 18. Hardy-Littlewood inequality
19. Bohr radii in lp spaces and unconditionality
20. Monomial convergence in Banach sequence spaces
21. Dineen's problem
22. Back to Bohr radii
Part IV. Vector-Valued Aspects: 23. Functions of one variable
24. Vector-valued Hardy spaces
25. Inequalities IV
26. Bohr's problem for vector-valued Dirichlet series
References
List of symbols
Subject index.