IMRN International Mathematics Research Notices 1999, No. 16 Estimates for “Singular” Exponential Sums Nicholas M. Katz

Source URL: web.math.princeton.edu

• Linear algebra
• Matrix theory
• Algebraic geometry
• Projective geometry
• Projective variety
• Eigenvalues and eigenvectors
• SturmLiouville theory
• Spectral theory of ordinary differential equations

Introduction to Ordinary Differential Equations Reacall that a differential equation is an equation which involves an unknown function as well as some of its derivatives. If the function has only one variable, the differ

Source URL: www.maths.dit.ie

Mann iterates of directionally nonexpansive mappings in hyperbolic spaces Ulrich Kohlenbach 1

Source URL: www.mathematik.tu-darmstadt.de

• Geometry
• Mathematics
• Metric geometry
• Space
• Metric
• Topology
• Inverse trigonometric functions
• Secondary measure
• Spectral theory of ordinary differential equations

The approximate fixed point property in product spaces U. Kohlenbach a,∗ , L. Leu¸stean a,b a Department of Mathematics, Darmstadt University of Technology,

Source URL: www.mathematik.tu-darmstadt.de

• Mathematical analysis
• Mathematics
• Functional analysis
• Harmonic analysis
• Symbol
• Spectral theory of ordinary differential equations

MATH 669: COMBINATORICS, GEOMETRY AND COMPLEXITY OF INTEGER POINTS Alexander Barvinok Abstract. These are rather condensed notes, not really proofread or edited, presenting key definitions and results of the course that

Source URL: www.math.lsa.umich.edu

• Leech lattice
• Moonshine theory
• Lattice
• Spectral theory of ordinary differential equations
• Lambda calculus

G¨odel functional interpretation and weak compactness Ulrich Kohlenbach1 Department of Mathematics Technische Universit¨at Darmstadt Schlossgartenstraße 7, 64289 Darmstadt, Germany -darmstadt.d

Source URL: www.mathematik.tu-darmstadt.de

• Mathematics
• Mathematical analysis
• Operator theory
• Computability theory
• Arithmetic function
• Primitive recursive function
• Ergodic theory
• Hilbert space
• Theoretical physics
• Spectral theory of ordinary differential equations
• Differential forms on a Riemann surface

Herbrand’s theorem and extractive proof theory U. Kohlenbach Department of Mathematics Technische Universit¨at Darmstadt Schlossgartenstrasse 7, 64289 Darmstadt, Germany September 1, 2008

Source URL: www.mathematik.tu-darmstadt.de

• Mathematics
• Mathematical analysis
• Mathematical logic
• Functions and mappings
• Computability theory
• Primitive recursive function
• Recursion
• Theory of computation
• First-order logic
• Limit of a function
• Peano axioms
• Spectral theory of ordinary differential equations

Mathematically strong subsystems of analysis with low rate of growth of provably recursive functionals Ulrich Kohlenbach Fachbereich Mathematik J.W. Goethe–Universit¨at D–60054 Frankfurt, Germany

Source URL: www.mathematik.tu-darmstadt.de

• Computability theory
• Mathematics
• Mathematical logic
• Mathematical analysis
• Primitive recursive functional
• Symbol
• Continuous function
• Primitive recursive function
• operator
• Spectral theory of ordinary differential equations

Pointwise hereditary majorization and some applications Ulrich Kohlenbach Fachbereich Mathematik, J.W.Goethe–Universit¨at Robert–Mayer–Str. 6–10, 6000 Frankfurt am Main, FRG Abstract A pointwise version of the H

Source URL: www.mathematik.tu-darmstadt.de

• Computability theory
• Primitive recursive functional
• Proof theory
• Continuous function
• Spectral theory of ordinary differential equations
• It diffusion

Constructions of Relative Difference Sets with Classical Parameters and Circulant Weighing Matrices Ka Hin Leung Department of Mathematics National University of Singapore 2 Science Drive 2, Singapore

Source URL: www.ntu.edu.sg

• Mathematics
• Combinatorics
• Difference set
• Geometry
• Algebra
• Quadric
• Operator theory
• Ordinary differential equations
• Spectral theory
• Spectral theory of ordinary differential equations
• Field trace