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» Computable Versions of Basic Theorems in Functional Analysis
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JC
2006
139views more  JC 2006»
13 years 5 months ago
The basic feasible functionals in computable analysis
We give a correspondence between two notions of complexity for real numbers and functions: poly-time computability according to Ko and a notion that arises naturally when one cons...
Branimir Lambov
STACS
2012
Springer
12 years 25 days ago
The Denjoy alternative for computable functions
The Denjoy-Young-Saks Theorem from classical analysis states that for an arbitrary function f : R → R, the Denjoy alternative holds outside a null set, i.e., for almost every re...
Laurent Bienvenu, Rupert Hölzl, Joseph S. Mil...

Lecture Notes
1351views
15 years 4 months ago
The Fundamental Theorem of Asset Pricing
"These lecture notes treat various versions of the so-called “fundamental theorem of asset pricing”. Many students are familiar with statements about models for financia...
Harry van Zanten
ENTCS
2008
87views more  ENTCS 2008»
13 years 5 months ago
Integral of Fine Computable functions and Walsh Fourier series
We de ne the e ective integrability of Fine-computable functions and e ectivize some fundamental limit theorems in the theory of Lebesgue integral such as Bounded Convergence Theo...
Takakazu Mori, Mariko Yasugi, Yoshiki Tsujii
SIAMCOMP
2008
72views more  SIAMCOMP 2008»
13 years 5 months ago
Plottable Real Number Functions and the Computable Graph Theorem
The Graph Theorem of classical recursion theory states that a total function on the natural numbers is computable, if and only if its graph is recursive. It is known that this res...
Vasco Brattka