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Now showing items 1-10 of 25

#### Weingarten surfaces arising from soliton theory

(Bilkent University, 1999)

In this work we presented a method for constructing surfaces in associated
with the symmetries of Gauss-Mainardi-Codazzi equations. We show that
among these surfaces the sphere has a unique role. Under constant gauge ...

#### Factorization in Hardy and Nevanlinna classes

(Bilkent University, 1999)

We find conditions under which the factors of a function belonging to Hardy
or Nevanlinna class also belong to the corresponding class.
The basis of our method is the theorem on the representation of a function
harmonic ...

#### The linear mean value of the remainder term in the problem of asymptotic behaviour of eigenfunctions of the automorphic Laplacian

(Bilkent University, 1996)

The purpose of this thesis is to obtain the estimate for the average mean
value of the remainder term of the asymptotic formula for the quadratic
mean value of the Fourier coefficients of the eigenfunctions over the ...

#### Algebro geometric methods in coding theory

(Bilkent University, 1999)

In this work, we studied a class of codes that, as a subspace, satisfy a
certain condition for (semi)stability. We obtained the Poincare polynomial of
the nonsingular projective variety which is formed by the equivalence ...

#### On possible deterioration of smoothness under the operation of convolution

(Bilkent University, 1996)

We show that the convolution of two probability densities which are restrictions
to R of entire functions can possess infinite essential supremuin on
each interval. We also present several sufficient conditions of ...

#### Aspects of Fibonacci numbers

(Bilkent University, 1994)

This thesis consists of two parts. The first part, which is Chapter 2, is
a survey on some aspects of Fibonacci numbers. In this part, we tried to
gather some interesting properties of these numbers and some topics related ...

#### Singularities of plane model of the modular curve Yo(l)

(Bilkent University, 1998)

#### Partial differential equations possessing the Painleve property

(Bilkent University, 1996)

111 this tli(\sis, a|)|)lying llie l^viiilovc tost (l(ivolo|)('.(l by VV(hss, 'labor ainl
t biriK'vale (VV1X9) investigatc'd the Pa.inleve property of Ibirgers’ ty|)e of
('(piarioiis, KdV type of equations and the KP ...

#### Homogeneous, anisotropic solutions of topologically massive gravity including a cosmological constant

(Bilkent University, 1993)

I'lxact solutions l.o tin' (ic'ld (M|iial.ioiis o( 'Го|)о1о;г;1са,11у ma.ssiv(i gravity wit h
a cosmological coiisl.anl. ai<' pix'scntisl. Tlics(' ai<‘ lK)mog<m<'o\is,a,iiisotro|)ic
Bianchi J ’ypc VIII and l'y|x' IX ...

#### Review of an approach to obstruction theory

(Bilkent University, 1994)

In this work, we summarized an approach to obstruction tlieory developed by
E. Thomas. We gave some illustrative examples to demonstrate the method.
These are : 2-plane fields on manifolds revi(iwing works of Thotnas, 3 ...