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21 
Some applications of topology and functional analysis in probability theoryJohnson, Charles McDonald 08 1900 (has links)
No description available.

22 
Univariate distribution functions : an interdisciplinary studyThompson, Robert A. January 1969 (has links)
No description available.

23 
Laplace transforms, nonanalytic growth bounds and C₀semigroupsSrivastava, Sachi January 2002 (has links)
In this thesis, we study a nonanalytic 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 nonanalytic abscissa of convergence, $\zeta_{1}(f)$ and the nonanalytic abscissa of absolute convergence $\kappa(f)$. These new bounds may be considered as nonanalytic 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 nonanalytic growth bound of the classical fractional integrals of $f$. The definitions of $\zeta, \zeta_{1}$ and $\kappa$ extend to the operatorvalued 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 nonanalytic 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 nonresonance condition holds. We apply our theory of nonanalytic 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 pseudospectrum is of a particular shape. Lastly, we shift our focus from nonanalytic bounds to sunreflexivity 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 $\mathbf{X}$ sunreflexive.

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Enhanced functional analysis system technique for managing complex engineering projectsTan, Sofia, January 2007 (has links) (PDF)
Thesis (M.S.)University of MissouriRolla, 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. 2729).

25 
Étude sur les suites infinies d'opérateurs hermitiensVigier, Jean Pierre. January 1946 (has links)
ThèseGeneva. / Includes bibliographical references (p. [35]).

26 
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. 7778).

27 
A study of generalized numerical rangesTsing, Namkiu, Johannes. January 1983 (has links)
Thesis, Ph.D., University of Hong Kong, 1983. / Also available in print.

28 
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.

29 
Étude sur les suites infinies d'opérateurs hermitiensVigier, Jean Pierre. January 1946 (has links)
ThèseGeneva. / Includes bibliographical references (p. [35]).

30 
A NashMoser implicit function theorem with Whitney regularity and applicationsVano, 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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