Transfunctions
Functional Analysis
2015-07-14 v1
Authors:
Piotr Mikusiński
Abstract
Maps between spaces of measures on measurable spaces (X,ΣX) and (Y,ΣY) are treated as generalized functions between X and Y.
Keywords
Cite
@article{arxiv.1507.03441,
title = {Transfunctions},
author = {Piotr Mikusiński},
journal= {arXiv preprint arXiv:1507.03441},
year = {2015}
}
Related papers
View all related →
Functional Analysis · Mathematics
Localized Transfunctions
Jason Bentley, Piotr Mikusiński
2018-04-17
Functional Analysis · Mathematics
Transfunctions and their connections to Plans, Markov Operators and Optimal Transport
Jason Bentley, Piotr Mikusiński
2020-01-16
Functional Analysis · Mathematics
Measurable functions on charge spaces
Jonathan M. Keith
2024-01-05
Functional Analysis · Mathematics
Approximation of linear functionals on the space with convex measure
Denis Fufaev
2016-02-23
Dynamical Systems · Mathematics
Dynamic of generalized transvections
Guido Ahumada, Nicolas Chevallier
2019-06-19
Dynamical Systems · Mathematics
Transverse invariant measures extends to the ambient space
Carlos Meniño Cotón
2012-07-12
Functional Analysis · Mathematics
A general learning algorithm for functions between metric spaces
Kerry M. Soileau
2007-09-14
Classical Analysis and ODEs · Mathematics
Systems of functional equations, the generalized shift, and modelling pathological functions
Symon Serbenyuk
2025-06-24
Functional Analysis · Mathematics
Biseparating maps between Lipschitz function spaces
Jesus Araujo, Luis Dubarbie
2008-07-25
History and Overview · Mathematics
Morphisms (should be) everywhere
Attila Egri-Nagy, Miklós Hoffmann
2025-06-11
High Energy Physics - Theory · Physics
Generalized Measures in Gauge Theory
John C. Baez
2009-10-22
Analysis of PDEs · Mathematics
On the Gamma convergence of functionals defined over pairs of measures and energy-measures
Marco Caroccia, Riccardo Cristoferi
2020-04-22
Metric Geometry · Mathematics
On a Duality between Metrics and $\Sigma$-Proximities
P. Yu. Chebotarev, E. V. Shamis
2007-05-23
Functional Analysis · Mathematics
Measurable Functions and Topolgical Algebra
Geoff Vooys
2023-08-30
Functional Analysis · Mathematics
Biseparating maps on generalized Lipschitz spaces
Denny H. Leung
2009-06-02
Functional Analysis · Mathematics
The Multivariate Taylor Measure Function Space and a Generalization of Taylor's Theorem
Athanasios Christou Micheas
2025-12-09
Analysis of PDEs · Mathematics
On the smallness of mean oscillations on metric-measure spaces and applications
Dung Le
2024-03-12
Mathematical Physics · Physics
Construction of Generalized Connections
Christian Fleischhack
2007-05-23
Optimization and Control · Mathematics
On taxicab distance mean functions and their geometric applications: methods, implementations and examples
Csaba Vincze, Ábris Nagy
2026-04-08
General Topology · Mathematics
Extending continuous functions
Bruce Blackadar
2012-07-31
Functional Analysis · Mathematics
Isometric shifts and metric spaces
Jesus Araujo, Juan J. Font
2007-05-23
Complex Variables · Mathematics
Transversality of holomorphic mappings between real hypersurfaces in different dimensions
M. S. Baouendi, Peter Ebenfelt, Linda P. Rothschild
2007-05-23
Metric Geometry · Mathematics
Collapsing Maps and Quasi-Isometries
Josh Thompson, Davin Hemmila
2022-02-15
Functional Analysis · Mathematics
Isomorphisms of algebras of Colombeau generalized functions
Hans Vernaeve
2017-05-24
Classical Analysis and ODEs · Mathematics
On certain generalizations of one function and related problems (Systems of functional equations and generalizations of certain functions)
Symon Serbenyuk
2023-08-29