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» Computable Versions of Basic Theorems in Functional Analysis
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JC
2006
139views more  JC 2006»
14 years 11 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
13 years 7 months 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
16 years 10 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»
14 years 11 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»
14 years 11 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