Publications related to Densely defined operator

Multigraded algebras and multigraded linear series

Leonid Monin, Fatemeh Mohammadi, Yairon Cid Ruiz

This paper is devoted to the study of multigraded algebras and multigraded linear series. For an Ns

\mathbb {N}s

-graded algebra A

A

, we define and study its volume function FA:N+s -> R

F_A:\mathbb {N}_+s\rightarrow \mathbb {R}

, which computes the ...

Wiley2024

Homotopical relations between 2-dimensional categories and their infinity-analogues

Lyne Moser

In this thesis, we study the homotopical relations of 2-categories, double categories, and their infinity-analogues. For this, we construct homotopy theories for the objects of interest, and show that there are homotopically full embeddings of 2-categories ...

EPFL2021

Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces W-m,W-p (omega)

Jan Sickmann Hesthaven, Lijing Zhao

Fractional operators are widely used in mathematical models describing abnormal and nonlocal phenomena. Although there are extensive numerical methods for solving the corresponding model problems, theoretical analysis such as the regularity result, or the ...

SCIENCE PRESS2020

A Generalized Representer Theorem for Hilbert Space - Valued Functions

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The necessary and sufficient conditions for existence of a generalized representer theorem are presented for learning Hilbert space - valued functions. Representer theorems involving explicit basis functions and Reproducing Kernels are a common occurrence ...

2019

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Data-driven modeling and feedback control play a vital role in several application areas ranging from robotics, control theory, manufacturing to management of assets, financial portfolios and supply chains. Many such problems in one way or another are rela ...

EPFL2019

Hermitian Categories, Extension Of Scalars And Systems Of Sesquilinear Forms

Eva Bayer Fluckiger, Daniel Arnold Moldovan

We prove that the category of systems of sesquilinear forms over a given hermitian category is equivalent to the category of unimodular 1-hermitian forms over another hermitian category. The sesquilinear forms are not required to be unimodular or defined o ...

Pacific Journal Mathematics2014

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Social media platforms are created and exploited for various activities carried out individually or collaboratively and relying on different resources and tools. Social media platforms are inherently contextual; the context being defined as a specific acti ...

EPFL2013

Wavelets on graphs via spectral graph theory

Pierre Vandergheynst, Rémi Gribonval

We propose a novel method for constructing wavelet transforms of functions defined on the vertices of an arbitrary finite weighted graph. Our approach is based on defining scaling using the the graph analogue of the Fourier domain, namely the spectral deco ...

Elsevier2011

Space/time-frequency processing of acoustic wave fields: theory, algorithms, and applications

Martin Vetterli, Francisco Pereira Correia Pinto

Consider a nonparametric representation of acoustic wave fields that consists of observing the sound pressure along a straight line or a smooth contour L defined in space. The observed data contains implicit information of the surrounding acoustic scene, b ...

Institute of Electrical and Electronics Engineers2010

Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

Erik Jarl Pickett

Let

F/E

be a finite Galois extension of fields with abelian Galois group

\Gamma

. A self-dual normal basis for

F/E

is a normal basis with the additional property that

Tr_{F/E}(g(x),h(x))=\delta_{g,h}

for

g,h\in\Gamma

. Bayer-Fluckiger and Lenstra h ...

2010

Densely defined operator

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Multigraded algebras and multigraded linear series

Homotopical relations between 2-dimensional categories and their infinity-analogues

Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces W-m,W-p (omega)

A Generalized Representer Theorem for Hilbert Space - Valued Functions

Kernel methods and Model predictive approaches for Learning and Control

Hermitian Categories, Extension Of Scalars And Systems Of Sesquilinear Forms

Widgets and Spaces

Wavelets on graphs via spectral graph theory

Space/time-frequency processing of acoustic wave fields: theory, algorithms, and applications

Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

Multigraded algebras and multigraded linear series

Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces W-m,W-p (omega)

Homotopical relations between 2-dimensional categories and their infinity-analogues

Space/time-frequency processing of acoustic wave fields: theory, algorithms, and applications

Construction Of Self-Dual Integral Normal Bases In Abelian Extensions Of Finite And Local Fields

Wavelets on graphs via spectral graph theory

Hermitian Categories, Extension Of Scalars And Systems Of Sesquilinear Forms

Widgets and Spaces

Kernel methods and Model predictive approaches for Learning and Control

A Generalized Representer Theorem for Hilbert Space - Valued Functions