A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is `application/pdf`

.

## Filters

##
###
Generalized Minkowski sets for the regularization of inverse problems
[article]

2019
*
arXiv
*
pre-print

Many works on

arXiv:1903.03942v1
fatcat:4bhwoeehl5cu7h2m4hxcohh4na
*inverse**problems*in*the*imaging sciences consider*regularization*via one or more penalty functions or constraint*sets*. ... We*generalize**the**Minkowski**set*, such that*the*model parameters are*the*sum*of*two components, each*of*which is constrained to an intersection*of**sets*. ... We propose*the**generalized**Minkowski*constraint*set**for**the**regularization**of**inverse**problems*as Definition 1 (*Generalized**Minkowski**Set*). ...##
###
Inversive Planes, Minkowski Planes and Regular Sets of Points

2001
*
European journal of combinatorics (Print)
*

New examples

doi:10.1006/eujc.1999.0468
fatcat:jwmkktmag5afxl5lfnkg4xlgfa
*of**regular**sets**of*points*for**the*Miquelian*inversive*planes*of*order q, q a prime power, q ≥ 7, are found and connections between such planes and certain*Minkowski*planes*of*order q 2 are ...*The*existence*of*a*regular**set*S*for**the**Minkowski*plane M(q 2 , σ ), with S contained in a block, is equivalent to*the*existence*of*a*regular**setS**for**the*group P L(2, q 2 ) acting on G F(q 2 ) ∪ {∞} ... In this paper, bearing in mind*the*Miquelian*inversive*plane*of*order q, M(q), is embeddable in each known*Minkowski*plane*of*order q 2 (see [19] ), we intend to find new examples*of**regular**sets**for*...##
###
Group morphology with convolution algebras

2010
*
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling - SPM '10
*

We show that group morphology is a proper

doi:10.1145/1839778.1839781
dblp:conf/sma/LysenkoNS10
fatcat:vogfma2qejebjeqboigz5hfwae
*setting**for*unifying, formulating and solving a number*of*important*problems*, including translational and rotational configuration space*problems*, mechanism workspace ... In particular, we show that all*Minkowski*product and quotient operations may be represented implicitly as sublevel*sets**of**the*same real-valued convolution function. ... ACKNOWLEDGMENTS*The*authors are grateful to John Uicker*for*pointing out*the*spherical 4-bar chain example. ...##
###
Harmonic measure in convex domains

1989
*
Bulletin of the American Mathematical Society
*

*The*proof

*of*Theorem 1 depends by way

*of*Caffarelli's methods on

*the*entire development

*of*

*regularity*theory in

*the*

*Minkowski*

*problem*. We would like to thank L. ... This is analogous to

*the*Brunn-

*Minkowski*inequality, which leads to uniqueness in

*the*

*generalized*

*Minkowski*

*problem*(see [3] ). gives

*the*conformai mapping <S> from

*the*upper half-plane H = {z e C: Imz ...

##
###
Page 3866 of Mathematical Reviews Vol. , Issue 2004e
[page]

2004
*
Mathematical Reviews
*

(RS-K UBT; Krasnodar) Direct

*regularization**of**the**inversion**of*real-valued Laplace transforms. (English summary)*Inverse**Problems*19 (2003), no. 3, 573-583. ... Summary: “*The*paper presents a*regularization*method*for**the**inversion**of*real-valued Laplace transforms. ...##
###
The Feynman problem for the Klein–Gordon equation

2022
*
Séminaire Laurent Schwartz — EDP et applications
*

We report on

doi:10.5802/slsedp.140
fatcat:mtgyn7eaanggdddfzu7p62p5e4
*the*well-posedness*of**the*Feynman*problem**for**the*Klein-Gordon equation on asymptotically*Minkowski*spacetimes. ... Furthermore,*the**inverse*is shown to coincide with*the*Duistermaat-Hörmander Feynman parametrix modulo smoothing terms. ... Support from*the*grant ANR-16-CE40-0012-01 is gratefully acknowledged. Séminaire Laurent-Schwartz -EDP et applications Institut des hautes études scientifiques, 2019-2020 Exposé n o IV, 1-10 ...##
###
The Feynman problem for the Klein-Gordon equation
[article]

2020
*
arXiv
*
pre-print

We report on

arXiv:2003.14404v1
fatcat:famc6kajf5eyjgi47sj3o5vikm
*the*well-posedness*of**the*Feynman*problem**for**the*Klein-Gordon equation on asymptotically*Minkowski*spacetimes. ... Furthermore,*the**inverse*is shown to coincide with*the*Duistermaat-H\"ormander Feynman parametrix modulo smoothing terms. ... In other words, one needs ways to control*regularity**of*solutions*of*an inhomogeneous*problem*P u = f in terms*of*asymptotic data, and*the*invertibility properties are also tied to*the*decay at spatial ...##
###
MINKOWSKI POINT SET COMBINATIONS

2013
*
Scientific Proceedings. Faculty of Mechanical Engineering
*

Paper brings few ideas about a concept

doi:10.2478/stu-2013-0009
fatcat:rse6k67fsvbi5pmgaluo4q7nym
*of**Minkowski*combinations*of*point*sets*, which can be defined as generalisation*of**set*operations defined on point*sets*in*the*Euclidean space,*Minkowski*sum and ... Presented algebraic tool*for*modelling point*sets*determined by defined vector operations can be used in geometric modeling, in applied computer graphics, or*for*solving other*problems*in vector analysis ...*Minkowski*linear combination*of*two point*sets*can be then regarded as a certain*generalization**of**Minkowski*sum, defined as*Minkowski*sum*of*scalar multiples*of*these two*sets*. Definition 4. ...##
###
Lattice calculation of hadronic tensor of the nucleon

2018
*
EPJ Web of Conferences
*

We used

doi:10.1051/epjconf/201817514014
fatcat:f45cqafrgfb75b5sckcutf6l7a
*the*Backus-Gilbert reconstruction method to address*the**inverse*Laplace transformation*for**the*analytic continuation from*the*Euclidean to*the**Minkowski*space. ... We report an attempt to calculate*the*deep inelastic scattering structure functions from*the*hadronic tensor calculated on*the*lattice. ... T )*for*each ν 0 and*for*each ν 0 Eq. (9) always holds, then we can have*the*value*of**the*function ω(ν) at arbitrary ν, which means that*the**inverse**problem*is solved. ...##
###
The Inverse Kakeya Problem
[article]

2019
*
arXiv
*
pre-print

We prove that

arXiv:1912.08477v1
fatcat:r5u7i4xl7bbgxhjvqwqhkbelji
*the*largest convex shape that can be placed inside a given convex shape Q ⊂R^d in any desired orientation is*the*largest inscribed ball*of*Q. ...*The*ball is*the*unique solution, except when maximizing*the*perimeter in*the*two-dimensional case. ...*Minkowski*sums*For*two convex shapes P and Q in R d ,*the**Minkowski*sum P + Q is*the**set*{p + q | p ∈ P, q ∈ Q}. ...##
###
A bound for the perimeter of inner parallel bodies

2016
*
Journal of Functional Analysis
*

*The*proof, which is straightforward, is based on

*the*construction

*of*an extremal

*set*

*for*a certain optimization

*problem*and

*the*use

*of*basic properties

*of*mixed volumes. ... We provide a sharp lower bound

*for*

*the*perimeter

*of*

*the*inner parallel

*sets*

*of*a convex body Ω. ... A great deal

*of*gratitude is owed Professor Ari Laptev

*for*valuable discussions and

*for*proposing

*the*study

*of*

*the*

*problem*at hand. ...

##
###
Regularization of Kepler problem inκ-spacetime

2016
*
Journal of Mathematical Physics
*

First, we perform a Moser-type

doi:10.1063/1.4966552
fatcat:z7ztakpvlbfbziug7fwqx3hklu
*regularization*and then we proceed*for**the*Ligon-Schaaf*regularization*to our*problem*. In particular,*generalizing*Heckman-de Laat (J. ... Symplectic Geom. 10, (2012), 463-473) in*the*noncommutative context we show that*the*Ligon-Schaaf*regularization*map follows from an adaptation*of**the*Moser*regularization*can be*generalized*to*the*Kepler ... PG would like to thank*the*Tudor Ratiu very much*for*discussion and ongoing collaboration on geometry*of*Kepler equation. ...##
###
The Three Reflections Theorem Revisited

2018
*
KoG
*

A consequence

doi:10.31896/k.22.5
fatcat:xh7nuledhnfthec5dvuxfm2ywq
*of**the*presented results are further generalisations*of**the*3RT, e.g. in planes with*Minkowski*metric, affine or projective 3-space, or in circle geometries. ...*For**the*Euclidean case and its non-Euclidean counterparts this property is automatically fulfilled. From*the*projective geometry point*of*view a (skew) reflection is nothing but a harmonic homology. ... Acknowledgement*The*author thanks Prof. E. Jurkin and*the*reviewer(s)*for*valuable help and hints. ...##
###
Probabilist Set Inversion using Pseudo-Intervals Arithmetic

2014
*
TEMA
*

One introduces

doi:10.5540/tema.2014.015.01.0097
fatcat:uykdg7vu7jfzpb3apegr4eufoi
*the*<span>psi</span>-algorithm, which performs*set**inversion**of*functions and exhibits some numerical examples developed with*the*python programming langage<!--EndFragment--></pre>. ...*for*its associated vector space. ...*SET**INVERSION*One*of**the*most recurrent*problem*arising in sciences and engineering is to perform adjustments*of*a system in order to get*the*desired performances. ...##
###
Orlicz-Minkowski flows
[article]

2020
*
arXiv
*
pre-print

Moreover, employing a parabolic approximation method, we give new proofs

arXiv:2005.00143v1
fatcat:jvvbc4arsrdkze3475c2yf3q7e
*of*some*of**the*existence results*for**the**general*Orlicz-*Minkowski**problems*;*the*L_p versions are*the*even L_p-*Minkowski**problem*... As an application, we obtain old and new results*for**the**regular*even Orlicz-*Minkowski**problems*;*the*corresponding L_p version is*the*even L_p-*Minkowski**problem**for*p>-n-1. ... Acknowledgment PB was supported by*the*ARC within*the*research grant "Analysis*of*fully non-linear geometric*problems*and differential equations", number DE180100110. MI was supported by a Jerrold E. ...
« Previous

*Showing results 1 — 15 out of 21,230 results*