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Absolutely Representing Systems And Convolution Operators In The Complex Domain, Yu. F. Korobeinik Jan 1996

Absolutely Representing Systems And Convolution Operators In The Complex Domain, Yu. F. Korobeinik

Turkish Journal of Mathematics

The author suggests a method of characterizing of the kernel of a convolution-type operator. The method is based on the exact description of nontrivial expansions of zero of an absolutely representing system consisting of eigen vectors of some linear operator with continuous spectrum. The method suggested in the paper is applied to the characterization of the kernel of the convolution-type operator defined on some space of entire functions and to the factorization of such an operator.


(\Sigma, \Tau)- Lie Ideals In Prime Rings With Derivation, M. Soytürk Jan 1996

(\Sigma, \Tau)- Lie Ideals In Prime Rings With Derivation, M. Soytürk

Turkish Journal of Mathematics

Let R be a prime ring, char R\neq 2,3 \, \sigma, \tau : R\rightarrow R two automorphisms, U a nonzero (\sigma, \tau)- Lie ideal of R and o\neq d : R\rightarrow R$ a derivation such that \sigma d = d\sigma, \tau d = d\tau. In this paper we have proved the following results. (1) If d (U) \subset Z then U\subset Z (2) If d(U) \subset U and d^2 (U) \subset Z then U\subset Z.


On Homotopic, Non--Isomorphic Tight Contact Structures On 3-Manifolds, Paolo Lisca, Gordana Matic Jan 1996

On Homotopic, Non--Isomorphic Tight Contact Structures On 3-Manifolds, Paolo Lisca, Gordana Matic

Turkish Journal of Mathematics

No abstract provided.


A Survey Of Symplectic 4-Manifolds With B^+ = 1, Dusa Mcduff, Dietmar Salamon Jan 1996

A Survey Of Symplectic 4-Manifolds With B^+ = 1, Dusa Mcduff, Dietmar Salamon

Turkish Journal of Mathematics

No abstract provided.


Removable Singularities And A Vanishing Theorem For Seiberg-Witten Invariants, Dietmar Salamon Jan 1996

Removable Singularities And A Vanishing Theorem For Seiberg-Witten Invariants, Dietmar Salamon

Turkish Journal of Mathematics

No abstract provided.


Higher Genus Symplectic Invariants And Sigma Model Coupled With Gravity, Yongbin Ruan, Gang Tian Jan 1996

Higher Genus Symplectic Invariants And Sigma Model Coupled With Gravity, Yongbin Ruan, Gang Tian

Turkish Journal of Mathematics

No abstract provided.


Akbulut's Corks And H-Cobordisms Of Smooth, Simply Connected 4-Manifolds, Rob Kirby Jan 1996

Akbulut's Corks And H-Cobordisms Of Smooth, Simply Connected 4-Manifolds, Rob Kirby

Turkish Journal of Mathematics

No abstract provided.


Contact Structures And Foliations On 3-Manifolds, Yakov M. Eliashberg, William P. Thurston Jan 1996

Contact Structures And Foliations On 3-Manifolds, Yakov M. Eliashberg, William P. Thurston

Turkish Journal of Mathematics

No abstract provided.


Lectures On Seiberg-Witten Invariants, Selman Akbulut Jan 1996

Lectures On Seiberg-Witten Invariants, Selman Akbulut

Turkish Journal of Mathematics

No abstract provided.


The Multi-Monopole Equations For K\"Ahler Surfaces, James A. Bryan, Richard Wentworth Jan 1996

The Multi-Monopole Equations For K\"Ahler Surfaces, James A. Bryan, Richard Wentworth

Turkish Journal of Mathematics

The purpose of this paper is to introduce a natural generalization of the Seiberg-Witten equations having more than one Spinor field ("monopole") and to study the moduli space of solutions in the case of a K\"ahler surface. We find an explicit algebro-geometric construction of the moduli space. In the course of our construction, we prove an existence and uniqueness result for a generalization of the Kazdan-Warner equation.


The Minimal Genus Of An Embedded Surface Of Non-Negative Square In A Rational Surface, Daniel Ruberman Jan 1996

The Minimal Genus Of An Embedded Surface Of Non-Negative Square In A Rational Surface, Daniel Ruberman

Turkish Journal of Mathematics

No abstract provided.


Star Topological Groupoids, O. Mucuk Jan 1996

Star Topological Groupoids, O. Mucuk

Turkish Journal of Mathematics

In [4] a construction on topological groups was given. In this paper we generalize this costruction to more general topological groupoids and have a similar structure on the topological groupodis.


A Note On Intuitionistic Sets And Intuitionistic Points, D. Çoker Jan 1996

A Note On Intuitionistic Sets And Intuitionistic Points, D. Çoker

Turkish Journal of Mathematics

The purpose of this note is to define the so-called "intuitionistic sets" and "intuitionistic points", and obtain their fundamental properties.


A Note On The Geography Of Symplectic Manifolds, Andras Stipsicz Jan 1996

A Note On The Geography Of Symplectic Manifolds, Andras Stipsicz

Turkish Journal of Mathematics

No abstract provided.


Operations With The Periodic Decimal Expansions, H. Ardahan Jan 1996

Operations With The Periodic Decimal Expansions, H. Ardahan

Turkish Journal of Mathematics

In this paper, we prove the rules of direct addition and subtraction for the finite decimal expansions of fractions which are periodic. It has been shown that these rules are valid for the fractions which can be expanded as a periodic decimal with p figures in the period or have the mixed decimal part containing \nu non-periodic and p periodic figures. Also, it has been given a rule of multiplication for these periodic decimals by 10^{\nu}, \nu\in\Bbb N. Last of all, if a rational fraction has a period of length p, then it can be expressed by a decimal expansion, …


Configuration Spaces And Imbedding Invariants, Raoul Bott Jan 1996

Configuration Spaces And Imbedding Invariants, Raoul Bott

Turkish Journal of Mathematics

No abstract provided.


Relations Between Classes Of Dragilev Spaces (F_1)_{\Sigma} And (F_2)_{\Sigma} For Arbitrary Function F^{-1}_{1}\Circ F_2}, V. Kashirin, A. Vakulenko Jan 1996

Relations Between Classes Of Dragilev Spaces (F_1)_{\Sigma} And (F_2)_{\Sigma} For Arbitrary Function F^{-1}_{1}\Circ F_2}, V. Kashirin, A. Vakulenko

Turkish Journal of Mathematics

Necessary and sufficient condition under wich Dragilev classes (f_1)_{\sigma} and (f_2)_{\sigma} coincide have been found for an arbitrary function f^{-1}_{1}\circ f_2.


Linear Topologic Invariants And Their Applications To Isomorphic Classification Of Generalized Power Spaces, V. Zahariuta Jan 1996

Linear Topologic Invariants And Their Applications To Isomorphic Classification Of Generalized Power Spaces, V. Zahariuta

Turkish Journal of Mathematics

In the present survey generalized linear topological invariants are considered as a development of classical invariants of Kolmogorov and Pelczynski (approximative and diametral dimensions). It is realized a geometric idea to construct some new invariant characteristics by applying of classical characteristics (diameter or entropy-like characteristics) to some symplest interpolational constructions under neighborhoods, taken from a given basis of neighborhoods of zero. It is considered various applications to isomorphic classification of generalized power K\"{o}the spaces (in particular, tensor products of finite and infinite type power series spaces, spaces of analytic and infinitely differentiable vector-valued functions, spaces of analytic functions of several …


Pirinciples Of Radiation For Helmholtz Equation In N-Dimensional Layer With Impedence Boundary Conditions., B. A. Iskenderov, A. I. Mehtieva Jan 1996

Pirinciples Of Radiation For Helmholtz Equation In N-Dimensional Layer With Impedence Boundary Conditions., B. A. Iskenderov, A. I. Mehtieva

Turkish Journal of Mathematics

The principle of limit absorption and A. G. Sveshnikov's partial conditions of radition for Helmholts equation in multile dimensinal layer with impedance boundary conditions were studied. The behavior of the solutions of corresponding initial-boundary value problem for non-stationary wave equations as t \ra+\infty was studied too.


On Affine Selection And Separation Of Vector Valued Functions, S. Alpay, Z. Ercan Jan 1996

On Affine Selection And Separation Of Vector Valued Functions, S. Alpay, Z. Ercan

Turkish Journal of Mathematics

Let K be a Choquet simplex, E a Fr\'{e}chet space and \Phi: K \ra 2^E a map such that \Phi(x) is closed and convex for each x \in K. A sufficient condition is given for \Phi to have a continuous affine selection.This is employed to prove a separation theorem for vector valued semicontinuous functions from a Choquet simplex into an ordered Fr\'{e}chet space.


Cover And Contents Jan 1996

Cover And Contents

Turkish Journal of Physics

No abstract provided.


Fixed Points And Completeness, Z. Liu Jan 1996

Fixed Points And Completeness, Z. Liu

Turkish Journal of Mathematics

We give five necessary and sufficient conditions for a metric space to be complete.


On Spaces Of Generalized Dirichlet Series, M. Dragilev Jan 1996

On Spaces Of Generalized Dirichlet Series, M. Dragilev

Turkish Journal of Mathematics

It is considered the relationship between spaces L_f(\lambda,\sigma) and subspaces of the space A_1(\bar{A}_1) of analytic functions in the open (closed) unit disc, generated by systems F(\alpha_nz), n\in N, if they constitute a basis in their closure.


Zeros Of Derivatives Of Dirichlet L-Functions, C. Yalçin Yildirim Jan 1996

Zeros Of Derivatives Of Dirichlet L-Functions, C. Yalçin Yildirim

Turkish Journal of Mathematics

In this paper diverse results on the location and number of zeros of derivatives of Dirichlet L-functions are proved.


A Note On Gamma Rings, M. Sapanci, A. Nakajimaz Jan 1996

A Note On Gamma Rings, M. Sapanci, A. Nakajimaz

Turkish Journal of Mathematics

Let M be a \Gamma-ring and D a non-zero left derivation on M. We show that if there exists an element m in M such that D(m) is a right non-zero divisor, then M is commutative.


On A Differential Analog Of The Prime-Radical And Properties Of The Lattice Of Radical Differential Ideals In Associative Differential Rings, D. Hadjiev, F. Çallialp, A. Eden Jan 1996

On A Differential Analog Of The Prime-Radical And Properties Of The Lattice Of Radical Differential Ideals In Associative Differential Rings, D. Hadjiev, F. Çallialp, A. Eden

Turkish Journal of Mathematics

In this paper we prove the following results: (1) For any assosiative differential ring with the unit we introduce a differential analog of the prime-radical and describe it; (2) any maximal differential ideal of a Ritt algebra is prime; (3) The lattice of radical differential ideals satisfies the condition of infinite \cap- distributivity.


Cover And Contents Jan 1996

Cover And Contents

Turkish Journal of Physics

No abstract provided.


Cover And Contents Jan 1996

Cover And Contents

Turkish Journal of Physics

No abstract provided.


Cover And Contents Jan 1996

Cover And Contents

Turkish Journal of Physics

No abstract provided.


Cover And Contents Jan 1996

Cover And Contents

Turkish Journal of Physics

No abstract provided.