By Julien Barral,Stéphane Seuret
By Julien Barral,Stéphane Seuret
By Hans Crauel
This monograph presents a radical, finished research of the slender topology on random likelihood measures on Polish areas. As a different function, the writer makes no extra assumptions at the chance area within the history, corresponding to completeness or a countable generated algebra. one of many major effects awarded is an instantaneous facts of the random analog of the Prohorov theorem, that's acquired with out invoking an embedding of the Polish area right into a compact house. Random chance Measures on Polish areas is a transparent and incisive quantity that may turn out beneficial for graduate scholars and researchers in mathematical research and its applications.
By Katharina Habermann,Lutz Habermann
This quantity is the 1st one who supplies a scientific and self-contained creation to the speculation of symplectic Dirac operators and displays the present kingdom of the topic. whilst, it's meant to set up the concept symplectic spin geometry and symplectic Dirac operators can give worthy instruments in symplectic geometry and symplectic topology, that have develop into very important fields and intensely energetic components of mathematical research.
By Herbert Amann,Joachim Escher
The moment quantity of this advent into research bargains with the mixing conception of capabilities of 1 variable, the multidimensional differential calculus and the idea of curves and line integrals. the trendy and transparent improvement that all started in quantity I is sustained. during this means a sustainable foundation is created which permits the reader to house attention-grabbing functions that typically transcend fabric represented in conventional textbooks. this is applicable, for example, to the exploration of Nemytskii operators which allow a clear creation into the calculus of adaptations and the derivation of the Euler-Lagrange equations.
By Hans G. Kaper,Marc Garbey
By Mangatiana A. Robdera
This textual content introduces to undergraduates the extra summary techniques of complex calculus, smoothing the transition from general calculus to the extra rigorous procedure of facts writing and a deeper knowing of mathematical research. the 1st half bargains with the fundamental beginning of research at the genuine line; the second one half reviews extra summary notions in mathematical research. every one subject encompasses a short creation and specific examples.
By Matthias Langer,Annemarie Luger,Harald Woracek
A colloquium on operator idea used to be held in Vienna, Austria, in March 2004, at the celebration of the retirement of Heinz Langer, a number one specialist in operator conception and indefinite internal product areas. The e-book includes fifteen refereed articles reporting on fresh and unique ends up in quite a few components of operator thought, them all comparable with the paintings of Heinz Langer. the subjects variety from summary spectral thought in Krein areas to extra concrete functions, equivalent to boundary price difficulties, the research of orthogonal capabilities, or second difficulties. The e-book closes with a historic survey paper.
By Silvio Ghilardi,M. Zawadowski
By Alois Kufner,Luboš Pick,Oldrich John,Svatopluk Fucík
This is thesecondpart of the second one revised and prolonged version ofthe good tested monograph approximately functionality areas. it's an creation to operate areas outlined when it comes to differentiability and integrability periods. It offers a list of assorted areas and merits as a guide if you use functionality areas to check different subject matters equivalent to partial differential equations. quantity 1 offers with Banach functionality areas, quantity 2 with Sobolev-type spaces.
By Christopher Heil
This self-contained quantity in honor of John J. Benedetto covers quite a lot of issues in harmonic research and similar parts. those comprise weighted-norm inequalities, body conception, wavelet conception, time-frequency research, and sampling thought. The chapters are clustered through subject to supply authoritative expositions that may be of lasting curiosity. the unique papers accrued are written through well known researchers and pros within the box. The ebook can pay tribute to John J. Benedetto’s achievements and expresses an appreciation for the mathematical and private thought he has given to such a lot of scholars, co-authors, and colleagues.