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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

Some applications of topology and functional analysis in probability theory

Johnson, Charles McDonald 08 1900 (has links)
No description available.

Univariate distribution functions : an interdisciplinary study

Thompson, Robert A. January 1969 (has links)
No description available.

Laplace transforms, non-analytic growth bounds and C₀-semigroups

Srivastava, Sachi January 2002 (has links)
In this thesis, we study a non-analytic growth bound $\zeta(f)$ associated with an exponentially bounded measurable function $f: \mathbb{R}_{+} \to \mathbf{X},$ which measures the extent to which $f$ can be approximated by holomorphic functions. This growth bound is related to the location of the domain of holomorphy of the Laplace transform of $f$ far from the real axis. We study the properties of $\zeta(f)$ as well as two associated abscissas, namely the non-analytic abscissa of convergence, $\zeta_{1}(f)$ and the non-analytic abscissa of absolute convergence $\kappa(f)$. These new bounds may be considered as non-analytic analogues of the exponential growth bound $\omega_{0}(f)$ and the abscissas of convergence and absolute convergence of the Laplace transform of $f,$ $\operatorname{abs}(f)$ and $\operatorname{abs}(\|f\|)$. Analogues of several well known relations involving the growth bound and abscissas of convergence associated with $f$ and abscissas of holomorphy of the Laplace transform of $f$ are established. We examine the behaviour of $\zeta$ under regularisation of $f$ by convolution and obtain, in particular, estimates for the non-analytic growth bound of the classical fractional integrals of $f$. The definitions of $\zeta, \zeta_{1}$ and $\kappa$ extend to the operator-valued case also. For a $C_{0}$-semigroup $\mathbf{T}$ of operators, $\zeta(\mathbf{T})$ is closely related to the critical growth bound of $\mathbf{T}$. We obtain a characterisation of the non-analytic growth bound of $\mathbf{T}$ in terms of Fourier multiplier properties of the resolvent of the generator. Yet another characterisation of $\zeta(\mathbf{T}) $ is obtained in terms of the existence of unique mild solutions of inhomogeneous Cauchy problems for which a non-resonance condition holds. We apply our theory of non-analytic growth bounds to prove some results in which $\zeta(\mathbf{T})$ does not appear explicitly; for example, we show that all the growth bounds $\omega_{\alpha}(\mathbf{T}), \alpha >0,$ of a $C_{0}$-semigroup $\mathbf{T}$ coincide with the spectral bound $s(\mathbf{A})$, provided the pseudo-spectrum is of a particular shape. Lastly, we shift our focus from non-analytic bounds to sun-reflexivity of a Banach space with respect to $C_{0}$-semigroups. In particular, we study the relations between the existence of certain approximations of the identity on the Banach space $\xspace$ and that of $C_{0}$-semigroups on $\mathbf{X}$ which make $\mathbf{X}$ sun-reflexive.

Enhanced functional analysis system technique for managing complex engineering projects

Tan, Sofia, January 2007 (has links) (PDF)
Thesis (M.S.)--University of Missouri--Rolla, 2007. / Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed November 27, 2007) Includes bibliographical references (p. 27-29).

Étude sur les suites infinies d'opérateurs hermitiens

Vigier, Jean Pierre. January 1946 (has links)
Thèse--Geneva. / Includes bibliographical references (p. [35]).

Pseudoquotients construction, applications, and their Fourier transform /

Khosravi, Mehrdad. January 2008 (has links)
Thesis (Ph.D.)--University of Central Florida, 2008. / Advisers: Piotr Mikusiński, Dragu Atanasiu. Includes bibliographical references (p. 77-78).

A study of generalized numerical ranges

Tsing, Nam-kiu, Johannes. January 1983 (has links)
Thesis, Ph.D., University of Hong Kong, 1983. / Also available in print.

A Contribution to the foundations of Fréchet's calcul fonctionnel ...

Hildebrandt, Theophil Henry, January 1912 (has links)
Thesis (Ph. D.)--University of Chicago, 1910. / Vita. "Reprinted from American journal of Mathematics, vol. XXXIV, no. 3." Includes bibliographical references.

Étude sur les suites infinies d'opérateurs hermitiens

Vigier, Jean Pierre. January 1946 (has links)
Thèse--Geneva. / Includes bibliographical references (p. [35]).

A Nash-Moser implicit function theorem with Whitney regularity and applications

Vano, John Andrew. January 2002 (has links) (PDF)
Thesis (Ph. D.)--University of Texas at Austin, 2002. / Vita. Includes bibliographical references. Available also from UMI Company.

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