Harmonic Analysis and Convexity / / ed. by Alexander Koldobsky, Alexander Volberg.

In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Comput...

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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2023]
©2023
Year of Publication:2023
Language:English
Series:Advances in Analysis and Geometry , 9
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Physical Description:1 online resource (VI, 474 p.)
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spelling Harmonic Analysis and Convexity / ed. by Alexander Koldobsky, Alexander Volberg.
Berlin ; Boston : De Gruyter, [2023]
©2023
1 online resource (VI, 474 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
Advances in Analysis and Geometry , 2511-0438 ; 9
Frontmatter -- Contents -- Algebraically integrable bodies and related properties of the Radon transform -- The covariogram problem -- The logarithmic Minkowski conjecture and the Lp-Minkowski problem -- Bellman functions and continuous time -- Volume product -- Inequalities for sections and projections of convex bodies -- Borderline estimates for weighted singular operators and concavity -- Extremal sections and projections of certain convex bodies: a survey -- When does e−/τ/ maximize Fourier extension for a conic section? -- Affine surface area -- Analysis and geometry near the unit ball: proofs, counterexamples, and open questions -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Aug 2023)
Harmonic analysis.
Harmonische Analyse.
Konvexe Geometrie.
Konvexität.
harmonic analysis, convex geometry, geometric tomography, geometric properties, optimal algorithms,.
Agranovsky, Mark, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Alfonseca, M. Angeles, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Bianchi, Gabriele, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Boman, Jan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Böröczky, Károly J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Domelevo, Komla, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Koldobsky, Alexander, editor. edt http://id.loc.gov/vocabulary/relators/edt
Volberg, Alexander, editor. edt http://id.loc.gov/vocabulary/relators/edt
Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 9783111175782
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English 9783111319292
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 9783111318912 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English 9783111319209
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 9783111318608 ZDB-23-DMA
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author2 Agranovsky, Mark,
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Alfonseca, M. Angeles,
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Bianchi, Gabriele,
Bianchi, Gabriele,
Boman, Jan,
Boman, Jan,
Böröczky, Károly J.,
Böröczky, Károly J.,
Domelevo, Komla,
Domelevo, Komla,
Koldobsky, Alexander,
Koldobsky, Alexander,
Volberg, Alexander,
Volberg, Alexander,
author_facet Agranovsky, Mark,
Agranovsky, Mark,
Alfonseca, M. Angeles,
Alfonseca, M. Angeles,
Bianchi, Gabriele,
Bianchi, Gabriele,
Boman, Jan,
Boman, Jan,
Böröczky, Károly J.,
Böröczky, Károly J.,
Domelevo, Komla,
Domelevo, Komla,
Koldobsky, Alexander,
Koldobsky, Alexander,
Volberg, Alexander,
Volberg, Alexander,
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author_sort Agranovsky, Mark,
title Harmonic Analysis and Convexity /
spellingShingle Harmonic Analysis and Convexity /
Advances in Analysis and Geometry ,
Frontmatter --
Contents --
Algebraically integrable bodies and related properties of the Radon transform --
The covariogram problem --
The logarithmic Minkowski conjecture and the Lp-Minkowski problem --
Bellman functions and continuous time --
Volume product --
Inequalities for sections and projections of convex bodies --
Borderline estimates for weighted singular operators and concavity --
Extremal sections and projections of certain convex bodies: a survey --
When does e−/τ/ maximize Fourier extension for a conic section? --
Affine surface area --
Analysis and geometry near the unit ball: proofs, counterexamples, and open questions --
Index
title_full Harmonic Analysis and Convexity / ed. by Alexander Koldobsky, Alexander Volberg.
title_fullStr Harmonic Analysis and Convexity / ed. by Alexander Koldobsky, Alexander Volberg.
title_full_unstemmed Harmonic Analysis and Convexity / ed. by Alexander Koldobsky, Alexander Volberg.
title_auth Harmonic Analysis and Convexity /
title_alt Frontmatter --
Contents --
Algebraically integrable bodies and related properties of the Radon transform --
The covariogram problem --
The logarithmic Minkowski conjecture and the Lp-Minkowski problem --
Bellman functions and continuous time --
Volume product --
Inequalities for sections and projections of convex bodies --
Borderline estimates for weighted singular operators and concavity --
Extremal sections and projections of certain convex bodies: a survey --
When does e−/τ/ maximize Fourier extension for a conic section? --
Affine surface area --
Analysis and geometry near the unit ball: proofs, counterexamples, and open questions --
Index
title_new Harmonic Analysis and Convexity /
title_sort harmonic analysis and convexity /
series Advances in Analysis and Geometry ,
series2 Advances in Analysis and Geometry ,
publisher De Gruyter,
publishDate 2023
physical 1 online resource (VI, 474 p.)
Issued also in print.
contents Frontmatter --
Contents --
Algebraically integrable bodies and related properties of the Radon transform --
The covariogram problem --
The logarithmic Minkowski conjecture and the Lp-Minkowski problem --
Bellman functions and continuous time --
Volume product --
Inequalities for sections and projections of convex bodies --
Borderline estimates for weighted singular operators and concavity --
Extremal sections and projections of certain convex bodies: a survey --
When does e−/τ/ maximize Fourier extension for a conic section? --
Affine surface area --
Analysis and geometry near the unit ball: proofs, counterexamples, and open questions --
Index
isbn 9783110775389
9783111175782
9783111319292
9783111318912
9783111319209
9783111318608
9783110775433
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issn 2511-0438 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA403
callnumber-sort QA 3403 K65 42023
url https://doi.org/10.1515/9783110775389
https://www.degruyter.com/isbn/9783110775389
https://www.degruyter.com/document/cover/isbn/9783110775389/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.2433
dewey-sort 3515.2433
dewey-raw 515.2433
dewey-search 515.2433
doi_str_mv 10.1515/9783110775389
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AT bomanjan harmonicanalysisandconvexity
AT boroczkykarolyj harmonicanalysisandconvexity
AT domelevokomla harmonicanalysisandconvexity
AT koldobskyalexander harmonicanalysisandconvexity
AT volbergalexander harmonicanalysisandconvexity
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is_hierarchy_title Harmonic Analysis and Convexity /
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