Selecta
eBook - PDF

Selecta

  1. 611 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Selecta

About this book

Heinz Bauer (1928-2002) was one of the prominent figures in Convex Analysis and Potential Theory in the second half of the 20th century. The Bauer minimum principle and Bauer's work on Silov's boundary and the Dirichlet problem are milestones in convex analysis. Axiomatic potential theory owes him what is known by now as Bauer harmonic spaces.

These Selecta collect more than twenty of Bauer's research papers including his seminal papers in Convex Analysis and Potential Theory. Above his research contributions Bauer is best known for his art of writing survey articles. Five of his surveys on different topics are reprinted in this volume. Among them is the well-known article Approximation and Abstract Boundary, for which he was awarded with the Chauvenet Price by the American Mathematical Association in 1980.

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Yes, you can access Selecta by Heinz Bauer, Herbert Heyer,Niels Jacob,Ivan Netuka, Herbert Heyer, Niels Jacob, Ivan Netuka in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2012
Print ISBN
9783110173505
eBook ISBN
9783110899764
Edition
1
Topic
Mathematics
Subtopic
Mathematical Analysis
Index
Mathematics

Table of contents

  1. Preface
  2. Curriculum vitae
  3. Curriculum vitae
  4. Ph.D. students of Heinz Bauer
  5. Contents
  6. The work of Heinz Bauer in measure and integration
  7. The work of Heinz Bauer in convexity theory
  8. The work of Heinz Bauer in potential theory
  9. RegulĂ€re und singulĂ€re Abbildungen eines distributiven Verbandes in einen vollstĂ€ndigen Vektorverband, welche der Funktionalgleichung f(x⋁y) + f(x⋀y) = f(x) + f(y) genĂŒgen [R3]
  10. Über die Beziehungen einer abstrakten Theorie des Riemann-Integrals zur Theorie Radonscher Maße [R9]
  11. Sur l’équivalence des thĂ©ories de l’intĂ©gration selon N. Bourbaki et selon M. H. Stone [R10]
  12. Minimalstellen von Funktionen und Extremalpunkte [R13]
  13. Konservative Abbildungen lokal-kompakter RĂ€ume [R14]
  14. Minimalstellen von Funktionen und Extremalpunkte. II [R16]
  15. Ć ilovscher Rand und Dirichletsches Problem [R17]
  16. Axiomatische Behandlung des Dirichletschen Problems fĂŒr elliptische und parabolische Differentialgleichungen [R19]
  17. WeiterfĂŒhrung einer axiomatischen Potentialtheorie ohne Kern (Existenz von Potentialen [R20]
  18. Kennzeichnung kompakter Simplexe mit abgeschlossener Extremalpunktmenge [R21]
  19. Propriétés fines des fonctions hyperharmoniques dans une théorie axiomatique du potentiel [R23]
  20. Zum Cauchyschen und Dirichletschen Problem bei elliptischen und parabolischen Differentialgleichungen [R24]
  21. Mesures avec une image donnée [R25]
  22. The part metric in convex sets [R26]
  23. An open mapping theorem for convex sets with only one part [R27]
  24. Theorems of Korovkin type for adapted spaces [R29]
  25. Convergence of monotone operators [R30]
  26. Korovkin approximation in C0(X) [R32] (with Klaus Donner)
  27. Approximation and abstract boundaries [S12]
  28. Halbgruppen und Resolventen in der Potentialtheorie [S15]
  29. Harmonic spaces – a survey [S21]
  30. Heat balls and Fulks measures [R34]
  31. Simplicial function spaces and simplexes [R35]
  32. Fine boundary limits of harmonic and caloric functions [R36]
  33. Simplices in potential theory [S24]
  34. Fine boundary limits and maximal sequences [R39]
  35. Behaviour of solutions of elliptic-parabolic differential equations at irregular boundary points [S26]
  36. Acknowledgements
  37. Bibliography