By Akihito Uchiyama
Uchiyama's decomposition of BMO services is taken into account the "Mount Everest of Hardy house theory". This publication is predicated at the draft, which the writer accomplished sooner than his unexpected loss of life in 1997. these days, his contributions are tremendous influential in quite a few fields of study, resulting in additional breakthroughs.
Read or Download Hardy Spaces on the Euclidean Space (Springer Monographs in Mathematics) PDF
Similar number theory books
Self-contained exposition presents the most important effects on congruence lattices of finite lattices contains the most recent findings from a pioneering researcher within the fieldFeatures the author's signature "Proof-by-Picture" technique and its conversion to transparenciesContains whole proofs, an intensive bibliography and index, and approximately eighty open problemsExcellent grad textual content and reference
Box mathematics explores Diophantine fields via their absolute Galois teams. This mostly self-contained remedy begins with thoughts from algebraic geometry, quantity concept, and profinite teams. Graduate scholars can successfully examine generalizations of finite box rules. We use Haar degree at the absolute Galois crew to exchange counting arguments.
Diophantine equations over quantity fields have shaped some of the most very important and fruitful components of arithmetic all through civilisation. in recent times expanding curiosity has been aroused within the analogous sector of equations over functionality fields. even though, even though enormous growth has been made via past authors, none has tried the important challenge of delivering tools for the particular resolution of such equations.
This monograph supplies a cutting-edge and available remedy of a brand new normal higher-dimensional concept of complicated dimensions, legitimate for arbitrary bounded subsets of Euclidean areas, in addition to for his or her ordinary generalization, relative fractal drums. It offers an important extension of the present idea of zeta capabilities for fractal strings to fractal units and arbitrary bounded units in Euclidean areas of any measurement.
- Periods and Special Functions in Transcendence (Advanced Textbooks in Mathematics)
- The Colorado Mathematical Olympiad and Further Explorations: The First Twenty Years and Further Explorations
- Number Treasury3:Investigations, Facts and Conjectures about More than 100 Number Families
- Problems in Analytic Number Theory (Graduate Texts in Mathematics / Readings in Mathematics)
Extra resources for Hardy Spaces on the Euclidean Space (Springer Monographs in Mathematics)