Vuorinen, Matti
Overview
Works:  135 works in 227 publications in 3 languages and 1,728 library holdings 

Genres:  Conference papers and proceedings Charts, diagrams, etc 
Roles:  Author, Editor, Other 
Classifications:  QA3, 515.9 
Publication Timeline
.
Most widely held works by
Matti Vuorinen
Quasiconformal space mappings : a collection of surveys, 19601990 by
Matti Vuorinen(
Book
)
20 editions published between 1992 and 2006 in 3 languages and held by 562 WorldCat member libraries worldwide
This volume is a collection of surveys on function theory in euclidean ndimensional spaces centered around the theme of quasiconformal space mappings. These surveys cover or are related to several topics including inequalities for conformal invariants and extremal length, distortion theorems, L(p)theory of quasiconformal maps, nonlinear potential theory, variational calculus, value distribution theory of quasiregular maps, topological properties of discrete open mappings, the action of quasiconformal maps in special classes of domains, and global injectivity theorems. The present volume is the first collection of surveys on Quasiconformal Space Mappings since the origin of the theory in 1960 and this collection provides in compact form access to a wide spectrum of recent results due to wellknown specialists. CONTENTS: G.D. Anderson, M.K. Vamanamurthy, M. Vuorinen: Conformal invariants, quasiconformal maps and special functions. F.W. Gehring: Topics in quasiconformal mappings. T. Iwaniec: L(p)theory of quasiregular mappings. O. Martio: Partial differential equations and quasiregular mappings. Yu. G. Reshetnyak: On functional classes invariant relative to homothetics. S. Rickman: Picard's theorem and defect relation for quasiconformal mappings. U. Srebro: Topological properties of quasiregular mappings. J. V{is{l{: Domains and maps. V.A. Zorich: The global homeomorphism theorem for space quasiconformal mappings, its development and related open problems
20 editions published between 1992 and 2006 in 3 languages and held by 562 WorldCat member libraries worldwide
This volume is a collection of surveys on function theory in euclidean ndimensional spaces centered around the theme of quasiconformal space mappings. These surveys cover or are related to several topics including inequalities for conformal invariants and extremal length, distortion theorems, L(p)theory of quasiconformal maps, nonlinear potential theory, variational calculus, value distribution theory of quasiregular maps, topological properties of discrete open mappings, the action of quasiconformal maps in special classes of domains, and global injectivity theorems. The present volume is the first collection of surveys on Quasiconformal Space Mappings since the origin of the theory in 1960 and this collection provides in compact form access to a wide spectrum of recent results due to wellknown specialists. CONTENTS: G.D. Anderson, M.K. Vamanamurthy, M. Vuorinen: Conformal invariants, quasiconformal maps and special functions. F.W. Gehring: Topics in quasiconformal mappings. T. Iwaniec: L(p)theory of quasiregular mappings. O. Martio: Partial differential equations and quasiregular mappings. Yu. G. Reshetnyak: On functional classes invariant relative to homothetics. S. Rickman: Picard's theorem and defect relation for quasiconformal mappings. U. Srebro: Topological properties of quasiregular mappings. J. V{is{l{: Domains and maps. V.A. Zorich: The global homeomorphism theorem for space quasiconformal mappings, its development and related open problems
Conformal geometry and quasiregular mappings by
Matti Vuorinen(
Book
)
21 editions published between 1988 and 2006 in English and held by 541 WorldCat member libraries worldwide
This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader. At the same time the book also addresses specialists in classical analysis and, in particular, geometric function theory. The text leads the reader to the frontier of current research and covers some most recent developments in the subject, previously scatterd through the literature. A major role in this monograph is played by certain conformal invariants which are solutions of extremal problems related to extremal lengths of curve families. These invariants are then applied to prove sharp distortion theorems for quasiregular mappings. One of these extremal problems of conformal geometry generalizes a classical twodimensional problem of O. Teichmüller. The novel feature of the exposition is the way in which conformal invariants are applied and the sharp results obtained should be of considerable interest even in the twodimensional particular case. This book combines the features of a textbook and of a research monograph: it is the first introduction to the subject available in English, contains nearly a hundred exercises, a survey of the subject as well as an extensive bibliography and, finally, a list of open problems
21 editions published between 1988 and 2006 in English and held by 541 WorldCat member libraries worldwide
This book is an introduction to the theory of spatial quasiregular mappings intended for the uninitiated reader. At the same time the book also addresses specialists in classical analysis and, in particular, geometric function theory. The text leads the reader to the frontier of current research and covers some most recent developments in the subject, previously scatterd through the literature. A major role in this monograph is played by certain conformal invariants which are solutions of extremal problems related to extremal lengths of curve families. These invariants are then applied to prove sharp distortion theorems for quasiregular mappings. One of these extremal problems of conformal geometry generalizes a classical twodimensional problem of O. Teichmüller. The novel feature of the exposition is the way in which conformal invariants are applied and the sharp results obtained should be of considerable interest even in the twodimensional particular case. This book combines the features of a textbook and of a research monograph: it is the first introduction to the subject available in English, contains nearly a hundred exercises, a survey of the subject as well as an extensive bibliography and, finally, a list of open problems
Conformal invariants, inequalities, and quasiconformal maps by
Glen D Anderson(
Book
)
12 editions published in 1997 in English and held by 169 WorldCat member libraries worldwide
Disk contains: information on Conformal Invariants Software which accompanies the text
12 editions published in 1997 in English and held by 169 WorldCat member libraries worldwide
Disk contains: information on Conformal Invariants Software which accompanies the text
Encyclopaedia of Mathematics, Supplement III by
Shreeram Shankar Abhyankar(
)
1 edition published in 2002 in English and held by 98 WorldCat member libraries worldwide
This is the third supplementary volume to Kluwer's highly acclaimed twelvevolume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and uptodate Encyclopaedia of Mathematics available
1 edition published in 2002 in English and held by 98 WorldCat member libraries worldwide
This is the third supplementary volume to Kluwer's highly acclaimed twelvevolume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and uptodate Encyclopaedia of Mathematics available
Quasiconformal mappings and their applications by International Workshop on Quasiconformal Mappings and Their Applications(
Book
)
3 editions published in 2007 in English and held by 65 WorldCat member libraries worldwide
3 editions published in 2007 in English and held by 65 WorldCat member libraries worldwide
Exceptional sets and boundary behavior of quasiregular mappings in nspace by
Matti Vuorinen(
Book
)
3 editions published in 1976 in English and held by 55 WorldCat member libraries worldwide
3 editions published in 1976 in English and held by 55 WorldCat member libraries worldwide
Parameter estimation for the GummelPoon transistor model by
Seppo Granlund(
Book
)
4 editions published in 1989 in English and held by 14 WorldCat member libraries worldwide
4 editions published in 1989 in English and held by 14 WorldCat member libraries worldwide
Exceptional sets and boundary behavior of quasiregular mappings in nspace by
Matti Vuorinen(
Book
)
1 edition published in 1976 in English and held by 13 WorldCat member libraries worldwide
1 edition published in 1976 in English and held by 13 WorldCat member libraries worldwide
Exceptional Sets and boundary behavior of quasiregular mappings in nspace by
Matti Vuorinen(
Book
)
3 editions published in 1976 in English and held by 10 WorldCat member libraries worldwide
3 editions published in 1976 in English and held by 10 WorldCat member libraries worldwide
Conformally invariant extremal problems and quasiconformal maps by
Matti Vuorinen(
Book
)
2 editions published in 1990 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 6 WorldCat member libraries worldwide
Functional inequalities for special functions in quasiconformal theory by
M. K Vamanamurthy(
Book
)
2 editions published in 1991 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 6 WorldCat member libraries worldwide
Functional inequalities for hypergeometric and related functions by G. D Anderson(
Book
)
2 editions published in 1990 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 6 WorldCat member libraries worldwide
Chordal Lipschitz conditions and quasiconformal maps of Möbius space by G. D Anderson(
Book
)
2 editions published in 1990 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 6 WorldCat member libraries worldwide
Bounds for quasiconformal distortion function by
S.L Qiu(
Book
)
2 editions published in 1993 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1993 in English and held by 6 WorldCat member libraries worldwide
Some inequalities for the growth of elliptic integrals by
S.L Qiu(
Book
)
2 editions published in 1996 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1996 in English and held by 6 WorldCat member libraries worldwide
Quasiadditive properties and bilipschitz conditions by V. V Aseev(
Book
)
2 editions published in 1997 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 6 WorldCat member libraries worldwide
Inequalities for the AGM and other means by
M. K Vamanamurthy(
Book
)
2 editions published in 1991 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 6 WorldCat member libraries worldwide
Lipschitz conditions in conformally invariant metrics by
J Ferrand(
Book
)
2 editions published in 1989 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 1989 in English and held by 6 WorldCat member libraries worldwide
Maantiedon taulukoita by
Rita Hassi(
Book
)
4 editions published between 1976 and 1981 in Finnish and held by 5 WorldCat member libraries worldwide
4 editions published between 1976 and 1981 in Finnish and held by 5 WorldCat member libraries worldwide
Monotonicity of some functions in calculus by
Glen D Anderson(
Book
)
2 editions published in 2005 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2005 in English and held by 5 WorldCat member libraries worldwide
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Calculus Conformal invariants Conformal mapping Differential inequalities Elliptic functions Functional equations Global analysis (Mathematics) Global differential geometry Inequalities (Mathematics) Integral inequalities Mathematics Möbius transformations Monotonic functions Potential theory (Mathematics) Quasiconformal mappings Scandinavia Set functions Statistics