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"Space"
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Star Ark : a living, self-sustaining spaceship
\"As space ventures have become more numerous, leading scientists and theorists have offered ways of building a living habitat in a hostile environment, taking an 'ecosystems' view of space colonization. The contributors to this volume take a radical multi-disciplinary view of the challenge of human space colonization through the ongoing project Persephone. This book fundamentally challenges prevalent ideas about sustainability and proposes a new approach to resource austerity and conservation and providing truly sustainable approaches that are life-promoting\"-- Provided by publisher.
Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
2023
In this paper we present a comprehensive treatment of function spaces with logarithmic smoothness (Besov, Sobolev, Triebel-Lizorkin).
We establish the following results:
The key tools behind our results
are limiting interpolation techniques and new characterizations of Besov and Sobolev norms in terms of the behavior of the Fourier
transforms for functions such that their Fourier transforms are of monotone type or lacunary series.
Functional Analysis, Harmonic Analysis, and Image Processing
2017
This volume is dedicated to the memory of Björn Jawerth. It contains original research contributions and surveys in several of the areas of mathematics to which Björn made important contributions. Those areas include harmonic analysis, image processing, and functional analysis, which are of course interrelated in many significant and productive ways.Among the contributors are some of the world's leading experts in these areas. With its combination of research papers and surveys, this book may become an important reference and research tool.This book should be of interest to advanced graduate students and professional researchers in the areas of functional analysis, harmonic analysis, image processing, and approximation theory. It combines articles presenting new research with insightful surveys written by foremost experts.
Function spaces in modern analysis : Sixth Conference on Function Spaces, May 18-22, 2010, Southern Illinois University, Edwardsville
by
Jarosz, Krzysztof
,
Conference on Function Spaces
in
Function spaces
,
Function spaces -- Congresses
2011
This volume contains the proceedings of the Sixth Conference on Function Spaces, which was held from May 18-22, 2010, at Southern Illinois University at Edwardsville. The papers cover a broad range of topics, including spaces and algebras of analytic functions of one and of many variables (and operators on such spaces), spaces of integrable functions, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces, and other related subjects.
Dreams of other worlds : the amazing story of unmanned space exploration
Dreams of Other Worlds describes the unmanned space missions that have opened new windows on distant worlds. Spanning four decades of dramatic advances in astronomy and planetary science, Impey and Henry tell the story of eleven iconic exploratory missions and how they have fundamentally transformed our scientific and cultural perspectives on the universe and our place in it.
Embeddings of Decomposition Spaces
by
Voigtlaender, Felix
in
Decomposition (Mathematics)
,
Functional analysis -- Linear function spaces and their duals -- Banach spaces of continuous, differentiable or analytic functions msc
,
Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems msc
2023
Many smoothness spaces in harmonic analysis are decomposition spaces. In this paper we ask: Given two such spaces, is there an
embedding between the two?
A decomposition space
We establish readily verifiable criteria which ensure the
existence of a continuous inclusion (“an embedding”)
In a nutshell, in order to apply the embedding results presented in this
article, no knowledge of Fourier analysis is required; instead, one only has to study the geometric properties of the involved
coverings, so that one can decide the finiteness of certain sequence space norms defined in terms of the coverings.
These
sufficient criteria are quite sharp: For almost arbitrary coverings and certain ranges of
We also prove a
The resulting embedding theory is illustrated by applications
to
Dark Skies
Dark Skies is the first work to assess the full impacts of space expansion, past, present, and future. Thinking about space, and the visions fervently promoted by the global space movement, is dominated by geographic misperceptions and utopian illusions. The parts of space where almost all activity has occurred are part of the planet Earth, its astrosphere, and, in practical terms, are smaller than the atmosphere. Contrary to frontier visions, orbital space is already congested and degraded with dangerous space debris. The largest impact of actual space activities is an increased likelihood of catastrophic nuclear war stemming from the use of orbital space and space technology to lob nuclear weapons at intercontinental distances. Building large-scale orbital infrastructures will probably require or produce world government. The ultimate goal of space advocates, the colonization of Mars and asteroids, is promoted to guarantee the survival of humanity if major catastrophes strike Earth. But the spread of humanity into a multiplanet species will likely produce an interstate anarchy highly prone to total war, with Earth having many disadvantages. Altering the orbits of asteroids, a readily achievable technology vital for space colonization, also makes possible “planetoid bombs” with destructive potentials millions of times greater than all nuclear weapons. The biological diversification of humanity into multiple species, anticipated by space advocates, will further stoke interworld wars. Astrocide—the extinction of humanity resulting from significant space expansion—must join the lengthening list of potential threats to human survival. Large-scale space expansion should be relinquished in favor of an Earth-oriented space program of arms control and planetary security.