By Kehe Zhu
Several usual Lp areas of analytic capabilities were greatly studied some time past few many years, together with Hardy areas, Bergman areas, and Fock areas. The phrases “Hardy areas” and “Bergman areas” are by means of now general and good proven. however the time period “Fock areas” is a special story.
Numerous very good books now exist near to Hardy areas. a number of books approximately Bergman areas, together with a few of the author’s, have additionally seemed long ago few many years. yet there was no e-book out there about the Fock areas. the aim of this booklet is to fill that void, specially whilst many ends up in the topic are entire by way of now. This ebook offers very important effects and methods summarized in a single position, in order that new comers, in particular graduate scholars, have a handy connection with the subject.
This publication includes proofs which are new and easier than the present ones within the literature. particularly, the publication avoids using the Heisenberg crew, the Fourier rework, and the warmth equation. this assists in keeping the necessities to a minimal. a typical graduate path in every one of actual research, advanced research, and practical research could be adequate instruction for the reader.
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Analysis on Fock Spaces: 263 (Graduate Texts in Mathematics) by Kehe Zhu