Academic literature on the topic 'Fourier and Schur multipliers'

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Journal articles on the topic "Fourier and Schur multipliers"

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Arhancet, Cédric. "Unconditionality, Fourier multipliers and Schur multipliers." Colloquium Mathematicum 127, no. 1 (2012): 17–37. http://dx.doi.org/10.4064/cm127-1-2.

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Neuwirth, Stefan, and Éric Ricard. "Transfer of Fourier Multipliers into Schur Multipliers and Sumsets in a Discrete Group." Canadian Journal of Mathematics 63, no. 5 (2011): 1161–87. http://dx.doi.org/10.4153/cjm-2011-053-9.

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Abstract We inspect the relationship between relative Fourier multipliers on noncommutative Lebesgue– Orlicz spaces of a discrete group and relative Toeplitz-Schur multipliers on Schatten–von- Neumann–Orlicz classes. Four applications are given: lacunary sets, unconditional Schauder bases for the subspace of a Lebesgue space determined by a given spectrum , the norm of the Hilbert transformand the Riesz projection on Schatten–von-Neumann classes with exponent a power of 2, and the norm of Toeplitz Schur multipliers on Schatten–von-Neumann classes with exponent less than 1.
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Olevskii, Victor. "A connection between Fourier and Schur multipliers." Integral Equations and Operator Theory 25, no. 4 (1996): 496–500. http://dx.doi.org/10.1007/bf01203030.

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Spronk, Nico. "Measurable schur multipliers and completely bounded multipliers of the Fourier algebras." Proceedings of the London Mathematical Society 89, no. 01 (2004): 161–92. http://dx.doi.org/10.1112/s0024611504014650.

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HAAGERUP, U., T. STEENSTRUP, and R. SZWARC. "SCHUR MULTIPLIERS AND SPHERICAL FUNCTIONS ON HOMOGENEOUS TREES." International Journal of Mathematics 21, no. 10 (2010): 1337–82. http://dx.doi.org/10.1142/s0129167x10006537.

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Let X be a homogeneous tree of degree q + 1 (2 ≤ q ≤ ∞) and let ψ : X × X → ℂ be a function for which ψ(x, y) only depends on the distance between x, y ∈ X. Our main result gives a necessary and sufficient condition for such a function to be a Schur multiplier on X × X. Moreover, we find a closed expression for the Schur norm ||ψ||S of ψ. As applications, we obtaina closed expression for the completely bounded Fourier multiplier norm ||⋅||M0A(G) of the radial functions on the free (non-abelian) group 𝔽N on N generators (2 ≤ N ≤ ∞) and of the spherical functions on the q-adic group PGL2(ℚq) for
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ANOUSSIS, M., A. KATAVOLOS, and I. G. TODOROV. "Ideals of the Fourier algebra, supports and harmonic operators." Mathematical Proceedings of the Cambridge Philosophical Society 161, no. 2 (2016): 223–35. http://dx.doi.org/10.1017/s0305004116000256.

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AbstractWe examine the common null spaces of families of Herz–Schur multipliers and apply our results to study jointly harmonic operators and their relation with jointly harmonic functionals. We show how an annihilation formula obtained in [1] can be used to give a short proof as well as a generalisation of a result of Neufang and Runde concerning harmonic operators with respect to a normalised positive definite function. We compare the two notions of support of an operator that have been studied in the literature and show how one can be expressed in terms of the other.
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Harcharras, Asma. "Fourier analysis, Schur multipliers on $S^p$ and non-commutative Λ(p)-sets". Studia Mathematica 137, № 3 (1999): 203–60. http://dx.doi.org/10.4064/sm-137-3-203-260.

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Caspers, Martijn, and Mikael de la Salle. "Schur and Fourier multipliers of an amenable group acting on non-commutative $L^p$-spaces." Transactions of the American Mathematical Society 367, no. 10 (2015): 6997–7013. http://dx.doi.org/10.1090/s0002-9947-2015-06281-3.

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Caspers, Martijn, and Gerrit Vos. "BMO spaces of $\sigma $-finite von Neumann algebras and Fourier–Schur multipliers on ${\rm SU}_q(2)$." Studia Mathematica 262, no. 1 (2022): 45–91. http://dx.doi.org/10.4064/sm201202-18-6.

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Levene, R. H., N. Spronk, I. G. Todorov, and L. Turowska. "Schur Multipliers of Cartan Pairs." Proceedings of the Edinburgh Mathematical Society 60, no. 2 (2016): 413–40. http://dx.doi.org/10.1017/s0013091516000067.

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AbstractWe define the Schur multipliers of a separable von Neumann algebrawith Cartan maximal abelian self-adjoint algebra, generalizing the classical Schur multipliers of(ℓ2). We characterize these as the normal-bimodule maps on. Ifcontains a direct summand isomorphic to the hyperfinite II1factor, then we show that the Schur multipliers arising from the extended Haagerup tensor product⊗ehare strictly contained in the algebra of all Schur multipliers.
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Dissertations / Theses on the topic "Fourier and Schur multipliers"

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Zeng, Kai. "Some problems in harmonic analysis on twsited crossed products." Electronic Thesis or Diss., Bourgogne Franche-Comté, 2023. http://www.theses.fr/2023UBFCD048.

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Cette thèse a pour but d’étudier quelques problèmes dans l'analyse harmonique sur les produits croisés tordus qui sont définis par des actions tordues d'un groupe localement compact G sur une algèbre de von Neumann M. Elle se compose de deux parties. La première porte sur les produits croisés tordus et leurs multiplicateurs de Fourier et de Schur. Nous démontrons que la propriété d’être QWEP pour l’algèbre de von Neumann tordue d’un groupe G est indépendante du 2-cocycle sous-ajacent et que les Lp-multiplicateurs de Fourier complètement bornés sur cette algèbre tordue sont aussi indépendants d
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McKee, Andrew. "Multipliers of dynamical systems." Thesis, Queen's University Belfast, 2017. https://pure.qub.ac.uk/portal/en/theses/multipliers-of-dynamical-systems(65b93a06-6e7b-420b-ae75-c28d373f8bdf).html.

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Herz–Schur multipliers of a locally compact group have a well developed theory coming from a large literature; they have proved very useful in the study of the reduced C∗-algebra of a locally compact group. There is also a rich connection to Schur multipliers,which have been studied since the early twentieth century, and have a large number of applications. We develop a theory of Herz–Schur multipliers of a C∗-dynamical system, extending the classical Herz–Schur multipliers, making Herz–Schur multiplier techniques available to study a much larger class of C∗-algebras. Furthermore, we will also
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Steen, Naomi Mary. "Unbounded generalisations of Schur and operator multipliers." Thesis, Queen's University Belfast, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.603070.

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Bounded Schur multipliers were introduced and characterised several decades ago, and various applications of this algebra of functions have been discovered. More recently, research into different classes of unbounded multipliers has been carried out. In this thesis the theory of one such class, that of the local Schur multipliers, is extended in different settings. A dilation of minimal Stinespring representations of completely positive, bimodular maps on spaces of compact operators is obtained, and used to establish an unbounded version of Stinespring's Theorem. This theorem is applied to obt
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Coine, Clément. "Continuous linear and bilinear Schur multipliers and applications to perturbation theory." Thesis, Bourgogne Franche-Comté, 2017. http://www.theses.fr/2017UBFCD074/document.

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Dans le premier chapitre, nous commençons par définir certains produits tensoriels et identifions leur dual. Nous donnons ensuite quelques propriétés des classes de Schatten. La fin du chapitre est dédiée à l’étude des espaces de Bochner à valeurs dans l'espace des opérateurs factorisables par un espace de Hilbert. Le deuxième chapitre est consacré aux multiplicateurs de Schur linéaires. Nous caractérisons les multiplicateurs bornés sur B(Lp, Lq) lorsque p est inférieur à q puis appliquons ce résultat pour obtenir de nouvelles relations d'inclusion entre espaces de multiplicateurs. Dans le tro
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Marcoci, Liviu-Gabriel. "A study of Schur multipliers and some Banach spaces of infinite matrices : /." Luleå : Department of Mathematics, Luleå University of Technology, 2010. http://pure.ltu.se/ws/fbspretrieve/4554227.

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Akylzhanov, Rauan. "Lp-Lq Fourier multipliers on locally compact groups." Thesis, Imperial College London, 2018. http://hdl.handle.net/10044/1/60829.

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We study the Lp − Lq boundedness of both spectral and Fourier multi- pliers on general locally compact separable unimodular groups G. As a consequence of the established Fourier multiplier theorem we also derive a spectral multiplier theorem on general locally compact separable uni- modular groups. We then apply it to obtain embedding theorems as well as time-asymptotics for the Lp − Lq norms of the heat kernels for general positive unbounded invariant operators on G. We illustrate the obtained results for sub-Laplacians on compact Lie groups and on the Heisenberg group, as well as for higher
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Mathias, Maximilian [Verfasser], E. [Gutachter] Schmidt, and J. [Gutachter] Schur. "Über positive Fourier-Integrale / Maximilian Mathias ; Gutachter: E. Schmidt, J. Schur." Berlin : Humboldt-Universität zu Berlin, 2006. http://d-nb.info/1206192313/34.

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Johnstone, Stephen. "Theory and applications of Fourier multipliers on locally compact groups." Thesis, University of Strathclyde, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.443141.

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Marcoci, Liviu-Gabriel. "Some new results concerning Schur multipliers and duality results between Bergman-Schatten and little Bloch spaces /." Luleå : Luleå University of Technology, 2009. http://pure.ltu.se/ws/fbspretrieve/2732750.

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Marcoci, Anca-Nicoleta. "Some new results concerning Lorentz sequence spaces and Schur multipliers : characterization of some new Banach spaces of infinite matrices." Licentiate thesis, Luleå : Luleå University of Technology, 2009. http://pure.ltu.se/ws/fbspretrieve/2727437.

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Books on the topic "Fourier and Schur multipliers"

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United States. National Aeronautics and Space Administration., ed. Compression strength of composite primary structural components: Semiannual status report, performance period, May 1, 1992 to October 31, 1992. Aerospace and Ocean Engineering Dept., Virginia Polytechnic Institute and State University, 1992.

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United States. National Aeronautics and Space Administration., ed. Compression strength of composite primary structural components: Semiannual status report, performance period, November 1, 1992 to April 30, 1993. Aerospace and Ocean Engineering Dept., Virginia Polytechnic Institute and State University, 1993.

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United States. National Aeronautics and Space Administration., ed. Compression strength of composite primary structural components: Semiannual status report, performance period, May 1, 1992 to October 31, 1992. Aerospace and Ocean Engineering Dept., Virginia Polytechnic Institute and State University, 1992.

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United States. National Aeronautics and Space Administration., ed. Compression strength of composite primary structural components: Semiannual status report, performance period, November 1, 1992 to April 30, 1993. Aerospace and Ocean Engineering Dept., Virginia Polytechnic Institute and State University, 1993.

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United States. National Aeronautics and Space Administration., ed. Compression strength of composite primary structural components: Semiannual status report, performance period, May 1, 1993 to October 31, 1993. Aerospace and Ocean Engineering Dept., Virginia Polytechnic Institute and State University, 1993.

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United States. National Aeronautics and Space Administration., ed. Compression strength of composite primary structural components: Semiannual status report, performance period, May 1, 1993 to October 31, 1993. Aerospace and Ocean Engineering Dept., Virginia Polytechnic Institute and State University, 1993.

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United States. National Aeronautics and Space Administration., ed. Compression strength of composite primary structural components: Semiannual status report : performance period: May 1, 1994 to October 31, 1994. Aerospace and Ocean Engineering Dept., Virginia Polytechnic and State University, 1994.

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Matrix Spaces and Schur Multipliers: Matriceal Harmonic Analysis. World Scientific Publishing Co Pte Ltd, 2013.

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Matrix Spaces and Schur Multipliers: Matriceal Harmonic Analysis. World Scientific Publishing Co Pte Ltd, 2013.

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Matrix Spaces and Schur Multipliers: Matriceal Harmonic Analysis. World Scientific Publishing Co Pte Ltd, 2014.

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Book chapters on the topic "Fourier and Schur multipliers"

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Pisier, Gilles. "Hankelian Schur multipliers. Herz-Schur multipliers." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-662-21537-1_7.

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Pisier, Gilles. "6. Hankelian Schur multipliers. Herz-Schur multipliers." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-540-44563-0_7.

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Wong, M. W. "Fourier Multipliers." In Discrete Fourier Analysis. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0116-4_5.

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Trigub, Roald M., and Eduard S. Bellinsky. "Fourier Multipliers." In Fourier Analysis and Approximation of Functions. Springer Netherlands, 2004. http://dx.doi.org/10.1007/978-1-4020-2876-2_7.

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Novikov, Igor, and Evgenij Semenov. "Fourier-Haar Multipliers." In Haar Series and Linear Operators. Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-017-1726-7_12.

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Pisier, Gilles. "Schur multipliers and Grothendieck’s inequality." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-662-21537-1_6.

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Dym, Harry, and Dan Volok. "Pick Matrices for Schur Multipliers." In Characteristic Functions, Scattering Functions and Transfer Functions. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-0346-0183-2_6.

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Duoandikoetxea, Javier. "Littlewood-Paley theory and multipliers." In Fourier Analysis. American Mathematical Society, 2000. http://dx.doi.org/10.1090/gsm/029/08.

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Hieber, Matthias. "Operator Valued Fourier Multipliers." In Topics in Nonlinear Analysis. Birkhäuser Basel, 1999. http://dx.doi.org/10.1007/978-3-0348-8765-6_17.

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Edmunds, David E., Vakhtang Kokilashvili, and Alexander Meskhi. "Multipliers of Fourier Transforms." In Bounded and Compact Integral Operators. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-015-9922-1_9.

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Conference papers on the topic "Fourier and Schur multipliers"

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Raut, Pratikhya, P. Yamini, K. Jayathi Chowdary, and K. Nagendra Siva Kumar. "Performance Analysis of FFT(Fast Fourier Transform) with Respect to Different Multipliers." In 2024 4th International Conference on Artificial Intelligence and Signal Processing (AISP). IEEE, 2024. https://doi.org/10.1109/aisp61711.2024.10870817.

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Masri, Rohaidah, Hazzirah Izzati Mat Hassim, Nor Haniza Sarmin, Nor Muhainiah Mohd Ali, and Nor'ashiqin Mohd Idrus. "The generalization of the Schur multipliers of Bieberbach groups." In INTERNATIONAL CONFERENCE ON QUANTITATIVE SCIENCES AND ITS APPLICATIONS (ICOQSIA 2014): Proceedings of the 3rd International Conference on Quantitative Sciences and Its Applications. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4903622.

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Mat Hassim, Hazzirah Izzati, Nor Haniza Sarmin, Nor Muhainiah Mohd Ali, Rohaidah Masri, and Nor'ashiqin Mohd Idrus. "The Schur multipliers of certain Bieberbach groups with abelian point groups." In PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Research in Mathematical Sciences: A Catalyst for Creativity and Innovation. AIP, 2013. http://dx.doi.org/10.1063/1.4801248.

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Ydyrys, Aizhan Zh, and Nazerke T. Tleukhanova. "On multipliers of Fourier series in the Lorentz space." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016). Author(s), 2016. http://dx.doi.org/10.1063/1.4959739.

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Toft, Joachim. "Pseudo-Differential Operators, Fourier Multipliers and Non-stationary Filters on Modulation Spaces." In MATHEMATICAL MODELING OF WAVE PHENOMENA: 2nd Conference on Mathematical Modeling of Wave Phenomena. AIP, 2006. http://dx.doi.org/10.1063/1.2205819.

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Lee, Kyung Chul, Hyesuk Chae, Shiqi Xu, et al. "Fourier Ptychographic Iterative Engine Based on Alternating Direction Method of Multipliers with Anisotropic Total-Variation Regularization." In Computational Optical Sensing and Imaging. Optica Publishing Group, 2023. http://dx.doi.org/10.1364/cosi.2023.cm4b.4.

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We propose an ADMM-based phase retrieval algorithm for FP that utilizes anisotropic total variation regularization for the object function and L2 regularization for pupil functions. All our results in simulation and real experiments demonstrate that our algorithm outperforms the Gauss-Newton algorithm in terms of object and pupil function recovery. Our findings suggest that our algorithm enables the reconstruction of the objective function using a shorter exposure time and fewer measurements as a factor of 60x.
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Chen, Qingjiang, Bingzhe Wei, and Yanbo Zhang. "On Matrix Fourier Multipliers for Semi-orthonormal Binary Framelets and Perturbation of Gabor Frames and Applications." In 3rd International Conference on Mechatronics, Robotics and Automation. Atlantis Press, 2015. http://dx.doi.org/10.2991/icmra-15.2015.276.

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Geng, Yu, Li Chen, Heng Liu, et al. "Numerical Methods for Improving the Optimization Efficiency of Textured Surfaces." In ASME 2023 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/imece2023-111458.

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Abstract As an emerging tribological technology, surface texturing has been widely studied and applied. More and more scholars have committed to the theoretical optimization of textures. To improve the optimization efficiency of textured surfaces, a multiscale method combining the finite cell method with Fischer-Burmeister-Newton-Schur, named as FCM-FBNS, the Fourier Amplitude Sensitivity Test (FAST) and genetic algorithm (GA) were combined in this paper. The proposed methods can calculate the first-order sensitivity indices of texturing parameters to the tribological characteristics efficient
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Bajkova, A. T., and B. Roy Frieden. "Maximum entropy restoration of ISAR images." In OSA Annual Meeting. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.thqq8.

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ISAR (interactive synthetic aperture radar) images are formed by Fourier transformation of complex frequency-space data. These generally suffer from noise and can also be degraded by under-sampling due to deliberate frequency skipping. Such a problem of incomplete information is typically well handled by the concept of maximum entropy. However, to apply the approach one has to force maximum entropy in a complex function. This was accomplished as follows (ATB). Each part (real or imaginary) is regarded as the difference between two associated, positive-only functions. The latter are forced to n
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