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Book DetailsContemporary MathematicsVolume: 91; 1989; 305 ppMSC: Primary 43; Secondary 00; 42; 46; 47
An exciting array of both expository and research articles are contained in this volume, which represents the proceedings of a conference on commutative harmonic analysis, held in July 1987 and sponsored by St.Lawrence University and GTE Corporation. The book brings together a host of articles by some of the top researchers in this field and provides an in-depth look at recent progress on many of the diverse areas of current research. Requiring a basic knowledge of Fourier analysis on commutative groups and a familiarity with Euclidean harmonic analysis, this book will be of interest to those beginning research in commutative harmonic analysis. In addition, those currently working in the field will find this book valuable for the broad overview it affords of this important research area.
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Table of Contents
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Articles
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Aharon Atzmon — Spaces of entire functions with no proper translation invariant subspaces [ MR 1002583 ]
-
John J. Benedetto — Gabor representations and wavelets [ MR 1002584 ]
-
Ron C. Blei — Measurements of interdependencies of stochastic increments [ MR 1002585 ]
-
Yngve Domar — Translation-invariant subspaces of weighted $L^p$ [ MR 1002586 ]
-
S. W. Drury — A survey of $k$-plane transform estimates [ MR 1002587 ]
-
Ron C. Blei and John J. F. Fournier — Mixed-norm conditions and Lorentz norms [ MR 1002588 ]
-
Colin C. Graham — Summary of some results on $L^p$-improving measures [ MR 1002589 ]
-
Håkan Hedenmalm — On the $f$- and $K$-properties of certain function spaces [ MR 1002590 ]
-
Hans P. Heinig and Gordon J. Sinnamon — Laplace representation of functions in mixed weighted Bergman spaces [ MR 1002591 ]
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Shelby Kilmer — Equivalence of Riesz products [ MR 1002592 ]
-
T. W. Körner — Universal trigonometric series with rapidly decreasing coefficients [ MR 1002593 ]
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W. Christopher Lang — A hypergroup measure algebra that admits no analogue of the structure theorem of J. L. Taylor [ MR 1002594 ]
-
Colin Graham, Anthony To Ming Lau and Michael Leinert — Continuity of translation and separable invariant subspaces of Banach spaces associated to locally compact groups [ MR 1002595 ]
-
Yong Zhuo Chen and Ka-Sing Lau — Harmonic analysis on functions with bounded means [ MR 1002596 ]
-
O. Carruth McGehee — Gaussian sums and harmonic analysis on finite fields [ MR 1002597 ]
-
Jean-François Méla — Quasi-invariant measures and Fourier properties [ MR 1002598 ]
-
L. Thomas Ramsey — Stability of (deterministic) adaptive auto-regressive filters [ MR 1002599 ]
-
Sadahiro Saeki — Some applications of Khintchin’s inequalities [ MR 1002600 ]
-
Enji Sato — Certain measures on locally compact abelian groups [ MR 1002601 ]
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Richard C. Vrem — Torsion and torsion-free hypergroups [ MR 1002602 ]
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C. Robert Warner — Weak $S$-sets and Helson sets [ MR 1002603 ]
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Yitzhak Weit — An asymptotic characterization of harmonic functions [ MR 1002604 ]
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J. Michael Wilson — Weighted inequalities for the square function [ MR 1002605 ]
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An exciting array of both expository and research articles are contained in this volume, which represents the proceedings of a conference on commutative harmonic analysis, held in July 1987 and sponsored by St.Lawrence University and GTE Corporation. The book brings together a host of articles by some of the top researchers in this field and provides an in-depth look at recent progress on many of the diverse areas of current research. Requiring a basic knowledge of Fourier analysis on commutative groups and a familiarity with Euclidean harmonic analysis, this book will be of interest to those beginning research in commutative harmonic analysis. In addition, those currently working in the field will find this book valuable for the broad overview it affords of this important research area.
-
Articles
-
Aharon Atzmon — Spaces of entire functions with no proper translation invariant subspaces [ MR 1002583 ]
-
John J. Benedetto — Gabor representations and wavelets [ MR 1002584 ]
-
Ron C. Blei — Measurements of interdependencies of stochastic increments [ MR 1002585 ]
-
Yngve Domar — Translation-invariant subspaces of weighted $L^p$ [ MR 1002586 ]
-
S. W. Drury — A survey of $k$-plane transform estimates [ MR 1002587 ]
-
Ron C. Blei and John J. F. Fournier — Mixed-norm conditions and Lorentz norms [ MR 1002588 ]
-
Colin C. Graham — Summary of some results on $L^p$-improving measures [ MR 1002589 ]
-
Håkan Hedenmalm — On the $f$- and $K$-properties of certain function spaces [ MR 1002590 ]
-
Hans P. Heinig and Gordon J. Sinnamon — Laplace representation of functions in mixed weighted Bergman spaces [ MR 1002591 ]
-
Shelby Kilmer — Equivalence of Riesz products [ MR 1002592 ]
-
T. W. Körner — Universal trigonometric series with rapidly decreasing coefficients [ MR 1002593 ]
-
W. Christopher Lang — A hypergroup measure algebra that admits no analogue of the structure theorem of J. L. Taylor [ MR 1002594 ]
-
Colin Graham, Anthony To Ming Lau and Michael Leinert — Continuity of translation and separable invariant subspaces of Banach spaces associated to locally compact groups [ MR 1002595 ]
-
Yong Zhuo Chen and Ka-Sing Lau — Harmonic analysis on functions with bounded means [ MR 1002596 ]
-
O. Carruth McGehee — Gaussian sums and harmonic analysis on finite fields [ MR 1002597 ]
-
Jean-François Méla — Quasi-invariant measures and Fourier properties [ MR 1002598 ]
-
L. Thomas Ramsey — Stability of (deterministic) adaptive auto-regressive filters [ MR 1002599 ]
-
Sadahiro Saeki — Some applications of Khintchin’s inequalities [ MR 1002600 ]
-
Enji Sato — Certain measures on locally compact abelian groups [ MR 1002601 ]
-
Richard C. Vrem — Torsion and torsion-free hypergroups [ MR 1002602 ]
-
C. Robert Warner — Weak $S$-sets and Helson sets [ MR 1002603 ]
-
Yitzhak Weit — An asymptotic characterization of harmonic functions [ MR 1002604 ]
-
J. Michael Wilson — Weighted inequalities for the square function [ MR 1002605 ]
