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Now showing items 1-10 of 45

#### A conjecture on square-zero upper triangular matrices and Carlsson's rank conjecture

(Bilkent University, 2018-09)

A well-known conjecture states that if an elementary abelian p-group acts
freely on a product of spheres, then the rank of the group is at most the number
of spheres in the product. Carlsson gives an algebraic version ...

#### Monoid actions, their categorification and applications

(Bilkent University, 2017-01)

We study actions of monoids and monoidal categories, and their relations with (co)homology theories. We start by discussing actions of monoids via bi-actions. We show that there is a well-defined functorial reverse action ...

#### Code construction on modular curves

(Bilkent University, 2003)

In this thesis, we have introduced two approaches on code construction on
modular curves and stated the problems step by step. Moreover, we have given
solutions of some problems in road map of code construction.
One of ...

#### Extension operators for spaces of infinitely differentiable functions

(Bilkent University, 2005)

We start with a review of known linear continuous extension operators for the
spaces of Whitney functions. The most general approach belongs to PawÃlucki and
Ple´sniak. Their operator is continuous provided that the ...

#### Representations of functions harmonic in the upper half-plane and their applications

(Bilkent University, 2003)

In this thesis, new conditions for the validity of a generalized Poisson representation
for a function harmonic in the upper half-plane have been found. These
conditions differ from known ones by weaker growth restrictions ...

#### Distance between a maximum point and the zero set of an entire function

(Bilkent University, 2006)

We obtain asymptotical bounds from below for the distance between a maximum
modulus point and the zero set of an entire function. Known bounds (Macintyre,
1938) are more precise, but they are valid only for some maximum ...

#### Recursion operator and dispersionless Lax representation

(Bilkent University, 2002)

We give a general method for constructing recursion operators for some equations
of hydrodynamic type, admitting a dispersionless Lax representation. We
consider a polynomial and rational Lax function. We give several ...

#### Modular vector invariants

(Bilkent University, 2006)

Vector invariants of finite groups (see the introduction for definitions) provides,
in general, counterexamples for many properties of the invariant theory
when the characteristic of the ground field divides the group ...

#### Dilations of doubly invariant kernels valued in topologically ordered *- spaces

(Bilkent University, 2018-07)

An ordered *-space Z is a complex vector space with a conjugate linear involution
*, and a strict cone Z+ consisting of self adjoint elements. A topologically ordered
*-space is an ordered *-space with a locally convex ...

#### Inductions, restrictions, evaluations, and sunfunctors of Mackey functors

(Bilkent University, 2008)