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Algebraic Potential Theory
 
Front Cover for Algebraic Potential Theory
Available Formats:
Electronic ISBN: 978-1-4704-0630-1
Product Code: MEMO/23/226.E
List Price: $23.00
MAA Member Price: $20.70
AMS Member Price: $13.80
Front Cover for Algebraic Potential Theory
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Algebraic Potential Theory
Available Formats:
Electronic ISBN:  978-1-4704-0630-1
Product Code:  MEMO/23/226.E
List Price: $23.00
MAA Member Price: $20.70
AMS Member Price: $13.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 231980; 130 pp
    MSC: Primary 06; Secondary 31; 46;
  • Table of Contents
     
     
    • Chapters
    • Introduction
    • 1. Mixed lattice semigroups
    • 2. Equivalent forms of Axiom I
    • 3. The calculus of mixed envelopes
    • 4. Strong suprema and infima
    • 5. Harmonic ideals and bands
    • 6. Preharmonic and potential bands
    • 7. Riesz decompositions and projections
    • 8. Quasibounded and singular elements
    • 9. Superharmonic semigroups
    • 10. Pseudo projections and balayage operators
    • 11. Quasi-units and generators
    • 12. Infinite series of quasi-units
    • 13. Generators
    • 14. Increasing additive operators
    • 15. Potential operators and induced specific projection bands
    • 16. Some remarks on duals and biduals
    • 17. Axioms for the hvperharmonic case
    • 18. The operators $S$ and $Q$
    • 19. The weak band of cancellable elements
    • 20. Hyperharmonic semigroups
    • 21. The classical superharmonic semigroups and some abstractions
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Volume: 231980; 130 pp
MSC: Primary 06; Secondary 31; 46;
  • Chapters
  • Introduction
  • 1. Mixed lattice semigroups
  • 2. Equivalent forms of Axiom I
  • 3. The calculus of mixed envelopes
  • 4. Strong suprema and infima
  • 5. Harmonic ideals and bands
  • 6. Preharmonic and potential bands
  • 7. Riesz decompositions and projections
  • 8. Quasibounded and singular elements
  • 9. Superharmonic semigroups
  • 10. Pseudo projections and balayage operators
  • 11. Quasi-units and generators
  • 12. Infinite series of quasi-units
  • 13. Generators
  • 14. Increasing additive operators
  • 15. Potential operators and induced specific projection bands
  • 16. Some remarks on duals and biduals
  • 17. Axioms for the hvperharmonic case
  • 18. The operators $S$ and $Q$
  • 19. The weak band of cancellable elements
  • 20. Hyperharmonic semigroups
  • 21. The classical superharmonic semigroups and some abstractions
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