eBook ISBN:  9780821877807 
Product Code:  CONM/189.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877807 
Product Code:  CONM/189.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 189; 1995; 511 ppMSC: Primary 43; 47; Secondary 44; 45; 46
This book is a collection of papers reflecting the conference held in Caracas, Venezuela, in January 1994 in celebration of Professor Mischa Cotlar's eightieth birthday. Presenting an excellent account of recent advances in harmonic analysis and operator theory and their applications, many of the contributors are world leaders in their fields. The collection covers a broad spectrum of topics, including:
 wavelet analysis
 Haenkel operators
 multimeasure theory
 the boundary behavior of the Bergman kernel
 interpolation theory
 Cotlar's Lemma on almost orthogonality in the context of \(L^p\) spaces and more ...
The range of topics in this volume promotes crosspollination among the various fields covered. Such variety makes Harmonic Analysis and Operator Theory an inspiration for graduate students interested in this area of study.
ReadershipMathematicians working in harmonic analysis and operator theory and related subjects, and graduate students interested in analysis.

Table of Contents

Articles

V. M. Adamyan and S. E. Nechayev — Nuclear Hankel matrices and orthogonal trigonometric polynomials [ MR 1347001 ]

Patrick Ahern and Željko Čučković — An invariant submean value property and hyponormal Toeplitz operators [ MR 1347002 ]

A. Michael Alphonse and Shobha Madan — The commutator of the ergodic Hilbert transform [ MR 1347003 ]

E. Andruchow, G. Corach and D. Stojanoff — The homogeneous space of representations of a nuclear $C^*$algebra [ MR 1347004 ]

Rodrigo Arocena — On the NagyFoiasParrott commutant lifting theorem [ MR 1347005 ]

Aline Bonami and Sandrine Grellier — Weighted Bergman projections in domains of finite type in ${\bf C}^2$ [ MR 1347006 ]

Marco Bramanti and M. Cristina Cerutti — Commutators of singular integrals and fractional integrals on homogeneous spaces [ MR 1347007 ]

H.Q. Bui, M. Paluszyński and M. Taibleson — A note on the BesovLipschitz and TriebelLizorkin spaces [ MR 1347008 ]

G. A. Cámera — Nonlinear superposition on spaces of analytic functions [ MR 1347009 ]

A. Carbery — A version of Cotlar’s lemma for $L^p$ spaces and some applications [ MR 1347010 ]

Gene Christner and James Rovnyak — Julia operators and the Schur algorithm [ MR 1347011 ]

Liliana De Rosa and Carlos Segovia — Weighted $H^p$ spaces for one sided maximal functions [ MR 1347012 ]

Ivan Dobrakov and T. V. Panchapagesan — A direct proof of a theorem of representation of multilinear operators on $\prod C_0(T_i)$ [ MR 1347013 ]

Michael A. Dritschel — Compact perturbations of operators on Kreĭn spaces [ MR 1347014 ]

Javier Duoandikoetxea — Almostorthogonality and weighted inequalities [ MR 1347015 ]

Ciprian Foias — On the extension of intertwining operators [ MR 1347016 ]

Y.S. Han, M. Paluszyński and G. Weiss — A new atomic decomposition for the TriebelLizorkin spaces [ MR 1347017 ]

Steve Hofmann — Commutators of parabolic singular integrals [ MR 1347018 ]

Stéphane Jaffard — Local behavior of Riemann’s function [ MR 1347019 ]

Björn Jawerth and Marius Mitrea — On the spectra of the higherdimensional Maxwell operators on nonsmooth domains [ MR 1347020 ]

Yuri Karlovich and Ilya Spitkovsky — Almost periodic factorization: an analogue of Chebotarev’s algorithm [ MR 1347021 ]

Carlos E. Kenig, Gustavo Ponce and Luis Vega — On the IVP for the nonlinear Schrödinger equations [ MR 1347022 ]

Marek Kosiek — Unitary dilations of contractive representations of $H^\infty ({\bf D}^2)$ [ MR 1347023 ]

V. G. Kravchenko, A. B. Lebre, G. S. Litvinchuk and F. S. Teixeira — Noether and normalization theories for a class of singular integral operators with Carleman shift and unbounded coefficients [ MR 1347024 ]

Trinidad Menárguez and Fernando Soria — Estimates for generalized Poisson integrals in a half space [ MR 1347025 ]

Y. Meyer — Wavelet analysis, local Fourier analysis, and $2$microlocalization [ MR 1347026 ]

Mario Milman and Richard Rochberg — The role of cancellation in interpolation theory [ MR 1347027 ]

Fernando Pelaez — An extension of Naĭmark’s dilation theorem to Kreĭn spaces [ MR 1347028 ]

V. V. Peller — Approximation by analytic operatorvalued functions [ MR 1347029 ]

Juan C. Peral — Character sums and explicit estimates for $L$functions [ MR 1347030 ]

María Cristina Pereyra — On the resolvent of the dyadic paraproduct, and a nonlinear operation on $RH_p$ weights [ MR 1347031 ]

V. A. Strauss — On an analogue of the Wold decomposition for a $\pi $semiunitary operator and its model representation [ MR 1347032 ]

Björn G. Walther — Maximal estimates for oscillatory integrals with concave phase [ MR 1347033 ]

Guanghua Zhao and Bertram M. Schreiber — Algebras of multilinear forms on groups [ MR 1347034 ]


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This book is a collection of papers reflecting the conference held in Caracas, Venezuela, in January 1994 in celebration of Professor Mischa Cotlar's eightieth birthday. Presenting an excellent account of recent advances in harmonic analysis and operator theory and their applications, many of the contributors are world leaders in their fields. The collection covers a broad spectrum of topics, including:
 wavelet analysis
 Haenkel operators
 multimeasure theory
 the boundary behavior of the Bergman kernel
 interpolation theory
 Cotlar's Lemma on almost orthogonality in the context of \(L^p\) spaces and more ...
The range of topics in this volume promotes crosspollination among the various fields covered. Such variety makes Harmonic Analysis and Operator Theory an inspiration for graduate students interested in this area of study.
Mathematicians working in harmonic analysis and operator theory and related subjects, and graduate students interested in analysis.

Articles

V. M. Adamyan and S. E. Nechayev — Nuclear Hankel matrices and orthogonal trigonometric polynomials [ MR 1347001 ]

Patrick Ahern and Željko Čučković — An invariant submean value property and hyponormal Toeplitz operators [ MR 1347002 ]

A. Michael Alphonse and Shobha Madan — The commutator of the ergodic Hilbert transform [ MR 1347003 ]

E. Andruchow, G. Corach and D. Stojanoff — The homogeneous space of representations of a nuclear $C^*$algebra [ MR 1347004 ]

Rodrigo Arocena — On the NagyFoiasParrott commutant lifting theorem [ MR 1347005 ]

Aline Bonami and Sandrine Grellier — Weighted Bergman projections in domains of finite type in ${\bf C}^2$ [ MR 1347006 ]

Marco Bramanti and M. Cristina Cerutti — Commutators of singular integrals and fractional integrals on homogeneous spaces [ MR 1347007 ]

H.Q. Bui, M. Paluszyński and M. Taibleson — A note on the BesovLipschitz and TriebelLizorkin spaces [ MR 1347008 ]

G. A. Cámera — Nonlinear superposition on spaces of analytic functions [ MR 1347009 ]

A. Carbery — A version of Cotlar’s lemma for $L^p$ spaces and some applications [ MR 1347010 ]

Gene Christner and James Rovnyak — Julia operators and the Schur algorithm [ MR 1347011 ]

Liliana De Rosa and Carlos Segovia — Weighted $H^p$ spaces for one sided maximal functions [ MR 1347012 ]

Ivan Dobrakov and T. V. Panchapagesan — A direct proof of a theorem of representation of multilinear operators on $\prod C_0(T_i)$ [ MR 1347013 ]

Michael A. Dritschel — Compact perturbations of operators on Kreĭn spaces [ MR 1347014 ]

Javier Duoandikoetxea — Almostorthogonality and weighted inequalities [ MR 1347015 ]

Ciprian Foias — On the extension of intertwining operators [ MR 1347016 ]

Y.S. Han, M. Paluszyński and G. Weiss — A new atomic decomposition for the TriebelLizorkin spaces [ MR 1347017 ]

Steve Hofmann — Commutators of parabolic singular integrals [ MR 1347018 ]

Stéphane Jaffard — Local behavior of Riemann’s function [ MR 1347019 ]

Björn Jawerth and Marius Mitrea — On the spectra of the higherdimensional Maxwell operators on nonsmooth domains [ MR 1347020 ]

Yuri Karlovich and Ilya Spitkovsky — Almost periodic factorization: an analogue of Chebotarev’s algorithm [ MR 1347021 ]

Carlos E. Kenig, Gustavo Ponce and Luis Vega — On the IVP for the nonlinear Schrödinger equations [ MR 1347022 ]

Marek Kosiek — Unitary dilations of contractive representations of $H^\infty ({\bf D}^2)$ [ MR 1347023 ]

V. G. Kravchenko, A. B. Lebre, G. S. Litvinchuk and F. S. Teixeira — Noether and normalization theories for a class of singular integral operators with Carleman shift and unbounded coefficients [ MR 1347024 ]

Trinidad Menárguez and Fernando Soria — Estimates for generalized Poisson integrals in a half space [ MR 1347025 ]

Y. Meyer — Wavelet analysis, local Fourier analysis, and $2$microlocalization [ MR 1347026 ]

Mario Milman and Richard Rochberg — The role of cancellation in interpolation theory [ MR 1347027 ]

Fernando Pelaez — An extension of Naĭmark’s dilation theorem to Kreĭn spaces [ MR 1347028 ]

V. V. Peller — Approximation by analytic operatorvalued functions [ MR 1347029 ]

Juan C. Peral — Character sums and explicit estimates for $L$functions [ MR 1347030 ]

María Cristina Pereyra — On the resolvent of the dyadic paraproduct, and a nonlinear operation on $RH_p$ weights [ MR 1347031 ]

V. A. Strauss — On an analogue of the Wold decomposition for a $\pi $semiunitary operator and its model representation [ MR 1347032 ]

Björn G. Walther — Maximal estimates for oscillatory integrals with concave phase [ MR 1347033 ]

Guanghua Zhao and Bertram M. Schreiber — Algebras of multilinear forms on groups [ MR 1347034 ]