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Dissertations / Theses on the topic 'Multiplicative operator'

Author: Grafiati
Published: 5 June 2025
Last updated: 1 August 2025

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1

Früchtl, Felix Benedikt [Verfasser], Rupert [Akademischer Betreuer] [Gutachter] Lasser, László [Gutachter] Székelyhidi, and Herbert [Gutachter] Heyer. "Sturm-Liouville Operator Functions : A General Concept of Multiplicative Operator Functions on Hypergroups / Felix Benedikt Früchtl. Betreuer: Rupert Lasser. Gutachter: László Székelyhidi ; Herbert Heyer ; Rupert Lasser." München : Universitätsbibliothek der TU München, 2016. http://d-nb.info/1103135228/34.

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2

Fleischer, G. "Multiplication operators and its ill-posedness properties." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801292.

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This paper deals with the characterization of multiplication operators, especially with its behavior in the ill-posed case. We want to classify the different types and degrees of ill-posedness. We give some connections between this classification and regularization methods.
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3

Santos, Pedro. "Approximation Methods for Convolution Operators on the Real Line." Doctoral thesis, Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200500362.

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This work is concerned with the applicability of several approximation methods (finite section method, Galerkin and collocation methods with maximum defect splines for uniform and non uniform meshes) to operators belonging to the closed subalgebra generated by operators of multiplication bz piecewise continuous functions and convolution operators also with piecewise continuous generating function.
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4

Mangan, M. Clare. "Choice of operation in multiplication and division word problems." Thesis, Queen's University Belfast, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.254212.

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5

Hofmann, B., and G. Fleischer. "Stability Rates for Linear Ill-Posed Problems with Convolution and Multiplication Operators." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800987.

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In this paper we deal with the `strength' of ill-posedness for ill-posed linear operator equations Ax = y in Hilbert spaces, where we distinguish according_to_M. Z. Nashed [15] the ill-posedness of type I if A is not compact, but we have R(A) 6= R(A) for the range R(A) of A; and the ill-posedness of type II for compact operators A: From our considerations it seems to follow that the problems with noncompact operators A are not in general `less' ill-posed than the problems with compact operators. We motivate this statement by comparing the approximation and stability behaviour of discrete leas
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6

Freitag, Melina. "On the Influence of Multiplication Operators on the Ill-posedness of Inverse Problems." Master's thesis, Universitätsbibliothek Chemnitz, 2004. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200401504.

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In this thesis we deal with the degree of ill-posedness of linear operator equations in Hilbert spaces, where the operator may be decomposed into a compact linear integral operator with a well-known decay rate of singular values and a multiplication operator. This case occurs for example for nonlinear operator equations, where the local degree of ill-posedness is investigated via the Frechet derivative. If the multiplier function has got zeroes, the determination of the local degree of ill-posedness is not trivial. We are going to investigate this situation, provide analytical tools as well as
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7

Hofmann, Bernd. "On multiplication operators occurring in inverse problems of natural sciences and stochastic finance." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501261.

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We deal with locally ill-posed nonlinear operator equations F(x) = y in L^2(0,1), where the Fréchet derivatives A = F'(x_0) of the nonlinear forward operator F are compact linear integral operators A = M ◦ J with a multiplication operator M with integrable multiplier function m and with the simple integration operator J. In particular, we give examples of nonlinear inverse problems in natural sciences and stochastic finance that can be written in such a form with linearizations that contain multiplication operators. Moreover, we consider the corresponding ill-posed linear operator equations Ax
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8

Kydyrmina, Nurgul. "Operators in Sobolev Morrey spaces." Doctoral thesis, Università degli studi di Padova, 2013. http://hdl.handle.net/11577/3423455.

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Morrey spaces were introduced by Charles Morrey in 1938. They are a useful tool in the regularity theory of partial differential equations, in real analysis and in mathematical physics. In the nineties of the XX century an active study of general Morrey-type spaces characterized by a functional parameter has started to develop. A number of results on boundedness of classical operators in general Morrey-type spaces were obtained. At the beginning of the XXI century there were new active developments in this area. In the last decade many mathematicians do research on smoothness spaces rel
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9

Seceleanu, Irina. "Hypercyclic Operators and their Orbital Limit Points." Bowling Green State University / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1280934433.

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10

Rambane, Daniel Thanyani. "Operators defined by conditional expectations and random measures / Daniel Thanyani Rambane." Thesis, North-West University, 2004. http://hdl.handle.net/10394/282.

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This study revolves around operators defined by conditional expectations and operators generated by random measures. Studies of operators in function spaces defined by conditional expectations first appeared in the mid 1950's by S-T.C. Moy [22] and S. Sidak [26]. N. Kalton studied them in the setting of Lp-spaces 0 < p < 1 in [15, 131 and in L1-spaces, [14], while W. Arveson [5] studied them in L2-spaces. Their averaging properties were studied by P.G. Dodds and C.B. Huijsmans and B. de Pagter in [7] and C.B. Huijsmans and B. de Pagter in [lo]. A. Lambert [17] studied their relationship with m
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11

Al-Hasani, Firas Ali Jawad. "Multiple Constant Multiplication Optimization Using Common Subexpression Elimination and Redundant Numbers." Thesis, University of Canterbury. Electrical and Computer Engineering, 2014. http://hdl.handle.net/10092/9054.

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The multiple constant multiplication (MCM) operation is a fundamental operation in digital signal processing (DSP) and digital image processing (DIP). Examples of the MCM are in finite impulse response (FIR) and infinite impulse response (IIR) filters, matrix multiplication, and transforms. The aim of this work is minimizing the complexity of the MCM operation using common subexpression elimination (CSE) technique and redundant number representations. The CSE technique searches and eliminates common digit patterns (subexpressions) among MCM coefficients. More common subexpressions can be found
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12

Steward, Michael. "Extending the Skolem Property." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492517341492202.

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13

Murugandi, Iyyappa Thirunavukkarasu. "A New Representation of Structured Grids for Matrix-vector Operation and Optimization of Doitgen Kernel." The Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1276878729.

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14

Escande, Paul. "Compression et inférence des opérateurs intégraux : applications à la restauration d’images dégradées par des flous variables." Thesis, Toulouse, ISAE, 2016. http://www.theses.fr/2016ESAE0020/document.

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Le problème de restauration d'images dégradées par des flous variables connaît un attrait croissant et touche plusieurs domaines tels que l'astronomie, la vision par ordinateur et la microscopie à feuille de lumière où les images sont de taille un milliard de pixels. Les flous variables peuvent être modélisés par des opérateurs intégraux qui associent à une image nette u, une image floue Hu. Une fois discrétisé pour être appliqué sur des images de N pixels, l'opérateur H peut être vu comme une matrice de taille N x N. Pour les applications visées, la matrice est stockée en mémoire avec un exao
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15

Bauzet, Caroline. "Etude d'équations aux dérivées partielles stochastiques." Thesis, Pau, 2013. http://www.theses.fr/2013PAUU3007/document.

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Cette thèse s’inscrit dans le domaine mathématique de l’analyse des équations aux dérivées partielles (EDP) non-linéaires stochastiques. Nous nous intéressons à des EDP paraboliques et hyperboliques que l’on perturbe stochastiquement au sens d’Itô. Il s’agit d’introduire l’aléatoire via l’ajout d’une intégrale stochastique (intégrale d’Itô) qui peut dépendre ou non de la solution, on parle alors de bruit multiplicatif ou additif. La présence de la variable de probabilité ne nous permet pas d’utiliser tous les outils classiques de l’analyse des EDP. Notre but est d’adapter les t
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16

Theodore, Fred. "Préformage de monocristaux de saphir optique : optimisation de la croissance hors fissuration par simulation numérique du problème thermomécanique." Grenoble INPG, 1998. http://www.theses.fr/1998INPG0100.

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Le preformage de monocristaux designe des methodes d'elaboration de geometries speciales au plus pres des cotes fonctionnelles. Nees de la necessite de controler le diametre des boules czochralski, ces techniques ont evolue jusqu'a concevoir le tirage au travers de filieres alimentees par des canaux capillaires. Applique au saphir, le preformage pose des problemes de qualite cristalline, de rupture fragile au cours de la croissance, et de respect des tolerances dimensionnelles. Des cristaux sont elabores par croissance capillaire classique et par une technique originale de preformage local don
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17

Clark, Sean Ian. "A study of multiplicative preservers /." 2009. http://hdl.handle.net/10288/1199.

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18

Gardia, Sharata Charan. "Product of Composition and Multiplication Operator." Thesis, 2015. http://ethesis.nitrkl.ac.in/6894/1/Product_Gardia_2015.pdf.

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Operators are nothing but the mapping from a topological space to a topological space. When it satisfies the criterion for the linearity, it becomes linear. So, composition and multiplication operators are certain type of operators and are bounded on a space called as Orlicz space which is the subject of consideration here. The composition operator CT and the multiplication operator Mu together multiplied to give a new operator named as Weighted composition operator Wu;T = CTMu given by f 7! u T:f T, on the Orlicz space. The thesis discusses various properties of the operator Wu;T starting w
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19

Santos, Pedro. "Approximation Methods for Convolution Operators on the Real Line." Doctoral thesis, 1998. https://monarch.qucosa.de/id/qucosa%3A18294.

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Abstract:
This work is concerned with the applicability of several approximation methods (finite section method, Galerkin and collocation methods with maximum defect splines for uniform and non uniform meshes) to operators belonging to the closed subalgebra generated by operators of multiplication bz piecewise continuous functions and convolution operators also with piecewise continuous generating function.
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20

張嵐雄. "Research on the Major Error Analysis and Remedial Instruction of Junior High School Students’ Concepts of Multiplication and Division Operation of Polynomial." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/96048213578720554153.

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