Discrete Harmonic Analysis Associated with Jacobi Expansions II: the Riesz Transform

Potential Analysis ◽

10.1007/s11118-021-09925-0 ◽

2021 ◽

Author(s):

Alberto Arenas ◽

Óscar Ciaurri ◽

Edgar Labarga

Keyword(s):

Harmonic Analysis ◽

Riesz Transform ◽

Jacobi Expansions

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Harmonic analysis operators related to symmetrized Jacobi expansions

Acta Mathematica Hungarica ◽

10.1007/s10474-013-0297-9 ◽

2013 ◽

Vol 140 (3) ◽

pp. 248-292 ◽

Author(s):

Bartosz Langowski

Keyword(s):

Harmonic Analysis ◽

Jacobi Expansions

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Harmonic analysis operators related to symmetrized Jacobi expansions for all admissible parameters

Acta Mathematica Hungarica ◽

10.1007/s10474-016-0652-8 ◽

2016 ◽

Vol 150 (1) ◽

pp. 49-82 ◽

Author(s):

B. Langowski

Keyword(s):

Harmonic Analysis ◽

Jacobi Expansions

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Discrete harmonic analysis associated with Jacobi expansions I: The heat semigroup

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.123996 ◽

2020 ◽

Vol 490 (2) ◽

pp. 123996

Author(s):

Alberto Arenas ◽

Óscar Ciaurri ◽

Edgar Labarga

Keyword(s):

Harmonic Analysis ◽

Heat Semigroup ◽

Jacobi Expansions

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Harmonic Analysis and Representation Theory for Groups Acting on Homogenous Trees

10.1017/cbo9780511662324 ◽

1991 ◽

Author(s):

Alessandro Figá-Talamanca ◽

Claudio Nebbia

Keyword(s):

Representation Theory ◽

Harmonic Analysis

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Representation Theory and Harmonic Analysis of Wreath Products of Finite Groups

10.1017/cbo9781107279087 ◽

2009 ◽

Author(s):

Tullio Ceccherini-Silberstein ◽

Fabio Scarabotti ◽

Filippo Tolli

Keyword(s):

Representation Theory ◽

Harmonic Analysis ◽

Finite Groups ◽

Wreath Products

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Classical and Multilinear Harmonic Analysis

10.1017/cbo9781139410397 ◽

2009 ◽

Author(s):

Camil Muscalu ◽

Wilhelm Schlag

Keyword(s):

Harmonic Analysis

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AN HARMONIC ANALYSIS FOR OPERATORS IN THE CASE OF A LOCALLY COMPACT ABELIAN GROUP: F. AND M. RIESZ THEOREMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30698-7 ◽

1994 ◽

Vol 14 (2) ◽

pp. 130-138 ◽

Author(s):

Shumo Yu

Keyword(s):

Abelian Group ◽

Harmonic Analysis ◽

Compact Abelian Group ◽

Locally Compact Abelian Group ◽

Locally Compact

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Harmonic Analysis of Spherical Functions on Real Reductive Groups

10.1007/978-3-642-72956-0 ◽

1988 ◽

Author(s):

Ramesh Gangolli ◽

Veeravalli S. Varadarajan

Keyword(s):

Harmonic Analysis ◽

Spherical Functions ◽

Reductive Groups

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The Research of the Repolarization Process in Solid Solutions (Rb1 – xKx)2ZnCl4 by the Harmonic Analysis Method

Bulletin of the Russian Academy of Sciences Physics ◽

10.3103/s1062873819120074 ◽

2019 ◽

Vol 83 (12) ◽

pp. 1533-1538

Author(s):

V. V. Gorbatenko ◽

B. N. Prasolov ◽

S. A. Gorbatenko ◽

N. V. Datsenko

Keyword(s):

Harmonic Analysis ◽

Solid Solutions ◽

Analysis Method ◽

Harmonic Analysis Method

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Geometric Cardinal Invariants, Maximal Functions and a Measure Theoretic Pigeonhole Principle

Bulletin of Symbolic Logic ◽

10.2178/bsl/1130335207 ◽

2005 ◽

Vol 11 (4) ◽

pp. 517-525

Author(s):

Juris Steprāns

Keyword(s):

Harmonic Analysis ◽

Harmonic Functions ◽

Maximal Functions ◽

Pigeonhole Principle ◽

Cardinal Invariants ◽

Geometric Objects

AbstractIt is shown to be consistent with set theory that every set of reals of size ℵ1 is null yet there are ℵ1 planes in Euclidean 3-space whose union is not null. Similar results will be obtained for other geometric objects. The proof relies on results from harmonic analysis about the boundedness of certain harmonic functions and a measure theoretic pigeonhole principle.

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