Harmonic Analysis and Operator Theory

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 cross-pollination among the various fields covered. Such variety makes ""Harmonic Analysis and Operator Theory"" an inspiration for graduate students interested in this area of study.

Table of Contents:
Nuclear Hankel matrices and orthogonal trigonometric polynomials by V. M. Adamyan and S. E. Nechayev An invariant submean value property and hyponormal Toeplitz operators by P. Ahern and Z. Cuckovic The commutator of the ergodic Hilbert transform by A. M. Alphonse and S. Madan The homogeneous space of representations of a nuclear $C^\ast$-algebra by E. Andruchow, G. Corach, and D. Stojanoff On the Nagy-Foias-Parrott commutant lifting theorem by R. Arocena Weighted Bergman projections in domains of finite type in $\mathbb C^2$ by A. Bonami and S. Grellier Commutators of singular integrals and fractional integrals on homogeneous spaces by M. Bramanti and M. C. Cerutti A note on the Besov-Lipschitz and Triebel-Lizorkin spaces by H.-Q. Bui, M. Paluszynski, and M. Taibleson Nonlinear superposition on spaces of analytic functions by G. A. Camera A version of Cotlar's lemma for $L^p$ spaces and some applications by A. Carbery Julia operators and the Schur algorithm by G. Christner and J. Rovnyak Weighted $H^p$ spaces for one sided maximal functions by L. d. Rosa and C. Segovia A direct proof of a theorem of representation of multilinear operators on $\Pi C_0(T_i)$ by I. Dobrakov and T. V. Panchapagesan Compact perturbations of operators on Krein spaces by M. A. Dritschel Almost-orthogonality and weighted inequalities by J. Duoandikoetxea On the extension of intertwining operators by C. Foias A new atomic decomposition for the Triebel-Lizorkin spaces by Y.-S. Han, M. Paluszynski, and G. Weiss Commutators of parabolic singular integrals by S. Hofmann Local behavior of Riemann's function by S. Jaffard On the spectra of the higher dimensional Maxwell operators on nonsmooth domains by B. Jawerth and M. Mitrea Almost periodic factorization: An analogue of Chebotarev's algorithm by Y. Karlovich and I. Spitkovsky On the IVP for the nonlinear Schrodinger equations by C. E. Kenig, G. Ponce, and L. Vega Unitary dilations of contractive representations of $H^\infty (\mathbb D^2)$ by M. Kosiek Noether and normalization theories for a class of singular integral operators with Carleman shift and unbounded coefficients by V. G. Kravchenko, A. B. Lebre, G. S. Litvinchuk, and F. S. Teixeira Estimates for generalized Poisson integrals in a half space by T. Menarguez and F. Soria Wavelet analysis, local Fourier analysis, and $2$-mircolocalization by Y. Meyer The role of cancellation in interpolation theory by M. Milman and R. Rochberg An extension of Naimark's dilation theorem to Krein spaces by F. Pelaez Approximation by analytic operator-valued functions by V. V. Peller Character sums and explicit estimates for $L$-functions by J. C. Peral On the resolvent of the dyadic paraproduct, and a nonlinear operation on $RH_p$ weights by M. C. Pereyra On an analogue of the Wold decomposition for a $\pi$-semi-unitary operator and its model representation by V. A. Strauss Maximal estimates for oscillatory integrals with concave phase by B. G. Walther Algebras of multilinear forms on groups by G. Zhao and B. M. Schreiber.