{"title":"Calcul ","description":null,"products":[{"product_id":"on-uniformization-of-complex-manifolds","title":"On Uniformization of Complex Manifolds: The Role of Connections","description":"\u003cp\u003eThe classical uniformization theorem for Riemann surfaces and its recent extensions can be viewed as introducing special pseudogroup structures, affine or projective structures, on Riemann surfaces. In fact, the additional structures involved can be considered as local forms of the uniformizations of Riemann surfaces. 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This book develops a full asymptotic calculus adapted to certain second order operators which are hypoelliptic but not elliptic. The motivating example is the operator _b associated to the ∂_b-complex on a CR-manifold. Like the Laplacian, _b is a natural operator of intrinsic interest, a prototype of a general class, and a test case. Principal terms of parametrices and other operators associated to _b are calculated on both the symbol side and the kernel side. It is hoped that this viewpoint on pseudodifferential operators will be fruitful in attacking other nonelliptic problems, including more degenerate cases of _b.\u003cbr\u003e\u003cbr\u003ePrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.\u003cbr\u003e\u003cbr\u003eTo mark the continued success of the series, all books are again available in paperback.\u003c\/p\u003e","brand":"None","offers":[{"title":"Couverture souple","offer_id":46155305418929,"sku":"9780691085012","price":133.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_0e1c3358-6b4e-4b9d-8992-b8322dd3b223.jpg?v=1763635938"},{"product_id":"analytic-pseudodifferential-operators-for-the-heisenberg-group-and-local-solvability","title":"Analytic Pseudodifferential Operators for the Heisenberg Group and Local Solvability","description":"\u003cp\u003eMany of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a suitable relative parametrix--an operator K such that LK is essentially the orthogonal projection onto the range of L. The analysis is by far most decisive if one is able to work in the real analytic, as opposed to the smooth, setting. With this motivation, the author develops an analytic calculus for the Heisenberg group. Features include: simple, explicit formulae for products and adjoints; simple representation-theoretic conditions, analogous to ellipticity, for finding parametrices in the calculus; invariance under analytic contact transformations; regularity with respect to non-isotropic Sobolev and Lipschitz spaces; and preservation of local analyticity. The calculus is suitable for doing analysis on real analytic strictly pseudoconvex CR manifolds. In this context, the main new application is a proof that the Szego projection preserves local analyticity, even in the three-dimensional setting. Relative analytic parametrices are also constructed for the adjoint of the tangential Cauchy-Riemann operator.\u003cbr\u003e\u003cbr\u003eOriginally published in 1990.\u003cbr\u003e\u003cbr\u003eThe \u003cb\u003ePrinceton Legacy Library\u003c\/b\u003e uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. 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The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.\u003cbr\u003e\u003cbr\u003eTo mark the continued success of the series, all books are available in paperback and as ebooks.\u003c\/p\u003e","brand":"None","offers":[{"title":"Couverture souple","offer_id":46155307450545,"sku":"9780691083315","price":162.0,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_d002beda-331e-43af-8892-d142e177ef60.jpg?v=1763635929"},{"product_id":"lectures-on-complex-analytic-varieties","title":"Lectures on Complex Analytic Varieties: Finite Analytic Mappings","description":"\u003cp\u003eThis book is a sequel to \u003ci\u003eLectures on Complex Analytic Varieties: The Local Paranwtrization Theorem\u003c\/i\u003e (Mathematical Notes 10, 1970). 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This data is provided as an additional tool in helping to ensure edition identification: ++++ Analyse Des Infiniment Petits, Pour L'intelligence Des Lignes Courbes Guillaume FranCois Antoine L'Hospital (Marquis de) FranCois Montalant ((ParIs)) chez FranCois Montalant, 1716 Mathematics; Calculus; Mathematics \/ Calculus","brand":"None","offers":[{"title":"Couverture souple (2022)","offer_id":46183703642289,"sku":"9782012522749","price":26.95,"currency_code":"CAD","in_stock":true},{"title":"Couverture souple (2011)","offer_id":46183703675057,"sku":"9781245320337","price":29.99,"currency_code":"CAD","in_stock":false},{"title":"Couverture souple (2014)","offer_id":46183703609521,"sku":"9781293461679","price":30.99,"currency_code":"CAD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_adf723c7-e582-4d1d-890b-b9e1efa878ef.jpg?v=1764372717"},{"product_id":"one-dimensional-functional-equations","title":"One-dimensional Functional Equations","description":"\u003cp\u003eThe monograph is devoted to the study of functional equations with the transformed argument on the real line and on the unit circle. 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There are two basic issues regarding minimax problems: The first issue concerns the establishment of sufficient and necessary conditions for equality minmaxf(x, y) = maxminf(x, y). (2) \"'EX !lEY !lEY \"'EX The classical minimax theorem of von Neumann is a result of this type. Duality theory in linear and convex quadratic programming interprets minimax theory in a different way. The second issue concerns the establishment of sufficient and necessary conditions for values of the variables x and y that achieve the global minimax function value f(x*, y*) = minmaxf(x, y). (3) \"'EX !lEY There are two developments in minimax theory that we would like to mention.","brand":"None","offers":[{"title":"Couverture souple","offer_id":46186269737137,"sku":"9781461335597","price":220.95,"currency_code":"CAD","in_stock":true},{"title":"Couverture rigide","offer_id":46186269769905,"sku":"9780792336150","price":220.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_78fe7ff6-ad52-428f-a249-e3a1d158cd30.jpg?v=1762832460"},{"product_id":"minimax-theorems-and-qualitative-properties-of-the-solutions-of-hemivariational-inequalities","title":"Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities","description":"Boundary value problems which have variational expressions in form of inequal- ities can be divided into two main classes. The class of boundary value prob- lems (BVPs) leading to variational inequalities and the class of BVPs leading to hemivariational inequalities. The first class is related to convex energy functions and has being studied over the last forty years and the second class is related to nonconvex energy functions and has a shorter research \"life\" beginning with the works of the second author of the present book in the year 1981. Nevertheless a variety of important results have been produced within the framework of the theory of hemivariational inequalities and their numerical treatment, both in Mathematics and in Applied Sciences, especially in Engineering. It is worth noting that inequality problems, i. e. BVPs leading to variational or to hemivariational inequalities, have within a very short time had a remarkable and precipitate development in both Pure and Applied Mathematics, as well as in Mechanics and the Engineering Sciences, largely because of the possibility of applying and further developing new and efficient mathematical methods in this field, taken generally from convex and\/or nonconvex Nonsmooth Analy- sis. The evolution of these areas of Mathematics has facilitated the solution of many open questions in Applied Sciences generally, and also allowed the formu- lation and the definitive mathematical and numerical study of new classes of interesting problems.","brand":"None","offers":[{"title":"Couverture souple","offer_id":46186279338161,"sku":"9781461368205","price":220.95,"currency_code":"CAD","in_stock":true},{"title":"Couverture rigide","offer_id":46186279370929,"sku":"9780792354567","price":220.95,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_51577026-6bc1-4c52-9259-b16af738776a.jpg?v=1762773353"},{"product_id":"orthogonal-polynomials","title":"Orthogonal Polynomials: Theory and Practice","description":"This volume contains the Proceedings of the NATO Advanced Study Institute on \"Orthogonal Polynomials and Their Applications\" held at The Ohio State University in Columbus, Ohio, U.S.A. between May 22,1989 and June 3,1989. The Advanced Study Institute primarily concentrated on those aspects of the theory and practice of orthogonal polynomials which surfaced in the past decade when the theory of orthogonal polynomials started to experience an unparalleled growth. This progress started with Richard Askey's Regional Confer- ence Lectures on \"Orthogonal Polynomials and Special Functions\" in 1975, and subsequent discoveries led to a substantial revaluation of one's perceptions as to the nature of orthogonal polynomials and their applicability. The recent popularity of orthogonal polynomials is only partially due to Louis de Branges's solution of the Bieberbach conjecture which uses an inequality of Askey and Gasper on Jacobi polynomials. The main reason lies in their wide applicability in areas such as Pade approximations, continued fractions, Tauberian theorems, numerical analysis, probability theory, mathematical statistics, scattering theory, nuclear physics, solid state physics, digital signal processing, electrical engineering, theoretical chemistry and so forth. This was emphasized and convincingly demonstrated during the presentations by both the principal speakers and the invited special lecturers. The main subjects of our Advanced Study Institute included complex orthogonal polynomials, signal processing, the recursion method, combinatorial interpretations of orthogonal polynomials, computational problems, potential theory, Pade approximations, Julia sets, special functions, quantum groups, weighted approximations, orthogonal polynomials associated with rootsystems, matrix orthogonal polynomials, operator theory and group representations.","brand":"None","offers":[{"title":"Couverture souple","offer_id":46190819213489,"sku":"9789401067119","price":71.5,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_730a5c00-9bc1-4b09-b239-fd6266a78960.jpg?v=1762998225"},{"product_id":"lehrbuch-der-darstellenden-geometrie","title":"Lehrbuch der Darstellenden Geometrie","description":"den; daB er nieht allzu unglueklieh gewahlt ist, solI der Anhang darlegen. Dort wird gezeigt, daB dieser Begriff sehr veralIgemeinerungsfahig ist. DaB aueh heute noeh beaehtenswerte Weehselbeziehungen zwischen der darstellenden Geometrie und neueren Zweigen der geometrisehen Wissen- sehaften bestehen, solI ebenfalIs der Anhang auseinandersetzen. Mit Hilfe von Begriffsbildungen der modernen Theorie der Gewebe werden namlich die ge- laufigen Methoden der darstellenden Geometrie in neuem Licht gezeigt und stark veralIgemeinert. Von den Anwendungen habe ieh diejenigen Teile etwas ausfUhrlieher be- handeIt, welche ungefahr den Stoff einer Spezialvorlesung ausmaehen, die ieh jeweils im Sommer an der ETH. haIten muB, namlieh die Grundlagen der Photogrammetrie und die sphiirische Geometrie. Umfangreiehere und selbstan- dige Anwendungsgebiete wie die N omographie oder kinematische Geometrie sol- len vielIeieht spater einmal dargestellt werden. Der Faehmann wird vielleieht einige ihm liebgewordene Einzelheiten ver- missen. Er moge als Entsehuldigung annehmen, daB ieh einerseits naeh reif- lieher Oberlegung nur die Teile weggelassen habe, die mir dem heutigen Stand der mathematisehen und teehnisehen Wissensehaften nieht mehr angemessen sehienen, und daB ieh andererseits den Preis des Buehes mogliehst niedrig haIten wollte. Was endlieh die Figuren anbetrifft, so habe ieh mieh bemuht, einfaeh zu bleiben und mit wenigen Linien auszukommen. Es ist namlieh fUr den Leser ein reeht unangenehmes Gesehaft, eine komplizierte Figur ent- wirren zu mussen, bei deren Entstehung er nieht zugegen war und die nur den Zeichner freut. Den Herren Prof. Dr. C. BURRI von der ETH. und O. SCHLAPFER von der Oberrealsehule Zurich verdanke ieh einige Anregungen und Verbesserungen.","brand":"None","offers":[{"title":"Couverture souple","offer_id":46189442957489,"sku":"9783034873703","price":58.5,"currency_code":"CAD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0655\/8980\/5233\/files\/1_ee22a374-283d-44a3-9772-b90f4b6f2f86.jpg?v=1762993236"},{"product_id":"measures-of-noncompactness-and-condensing-operators","title":"Measures of Noncompactness and Condensing Operators","description":"A condensing (or densifying) operator is a mapping under which the image of any set is in a certain sense more compact than the set itself. The degree of noncompactness of a set is measured by means of functions called measures of noncompactness. The contractive maps and the compact maps [i.e., in this Introduction, the maps that send any bounded set into a relatively compact one; in the main text the term \"compact\" will be reserved for the operators that, in addition to having this property, are continuous, i.e., in the authors' terminology, for the completely continuous operators] are condensing. For contractive maps one can take as measure of noncompactness the diameter of a set, while for compact maps can take the indicator function of a family of non-relatively com- pact sets. The operators of the form F( x) = G( x, x), where G is contractive in the first argument and compact in the second, are also condensing with respect to some natural measures of noncompactness. The linear condensing operators are characterized by the fact that almost all of their spectrum is included in a disc of radius smaller than one. 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