M. Krukowski

activity

20152021

most citedHow Arzelà and Ascoli would have proved Pego theorem for

L^{1} (G)

(if they lived in the

2 1^{s t}

century)?

1 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing math.FAShow all

8 papers · 1 filter

math.FA2021

Cosine manifestations of the Gelfand transform

Mateusz Krukowski

The goal of the paper is to provide a detailed explanation on how the (continuous) cosine transform and the discrete(-time) cosine transform arise naturally as certain manifestatio…

math.FA2020★ 1 cited

How Arzelà and Ascoli would have proved Pego theorem for $L^{1} (G)$ (if they lived in the $2 1^{s t}$ century)?

Mateusz Krukowski

In the paper we make an effort to answer the question ``What if Arzelà and Ascoli lived long enough to see Pego theorem?''. Giulio Ascoli and Cesare Arzelà died in 1896 and 1912, r…

math.FA2020

Sobolev spaces on Gelfand pairs

Mateusz Krukowski

The primary aim of the paper is the study of Sobolev spaces in the context of Gelfand pairs. The article commences with providing a historical overview and motivation for the resea…

math.FA2019

Characterizing compact families via the Laplace transform

Mateusz Krukowski

In 1985, Robert L. Pego characterized compact families in $L^{2} (R)$ in terms of the Fourier transform. It took nearly 30 years to realize that Pego's result can be proved in a…

math.FA2017

Weighted $L^{p} -$ spaces on nilpotent, locally compact groups

Mateusz Krukowski

Our paper begins with a revision of spectral theory for commutative Banach algebras, which enables us to prove the $L_{ω}^{p} -$ conjecture for locally compact abelian groups. We follow…

math.FA2016

Darbo-type theorem for quasimeasure of noncompactness

Mateusz Krukowski

The paper introduces the concept of quasimeasure of noncompactness. Motivated by the Arzelà-Ascoli theorem for $C^{b} (X, E)$ , where $X$ is an Euclidean space and $E$ an arbitrary Bana…

Cosine manifestations of the Gelfand transform

How Arzelà and Ascoli would have proved Pego theorem for L1(G) (if they lived in the 21st century)?

Sobolev spaces on Gelfand pairs

Characterizing compact families via the Laplace transform

Weighted Lp−spaces on nilpotent, locally compact groups

Darbo-type theorem for quasimeasure of noncompactness

How Arzelà and Ascoli would have proved Pego theorem for $L^{1} (G)$ (if they lived in the $2 1^{s t}$ century)?

Weighted $L^{p} -$ spaces on nilpotent, locally compact groups