Mark I. Gelfand's Books

Compact Lie Groups

By: Mark R. Sepanski

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Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Coverage includes the construction of the Spin groups, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel-Weil Theorem. The book develops the necessary Lie algebra theory with a streamlined approach focusing on linear Lie groups.

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Page Count

208

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387491589

ISBN 13

9780387491585

M.G. Krein's Lectures on Entire Operators

By: Miroslav Lʹvovich Gorbachuk,Mark Grigorʹevich Kreĭn,Valentina Ivanovna Gorbachuk

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M.G. Krein's Lectures on Entire Operators

By: Miroslav Lʹvovich Gorbachuk,Mark Grigorʹevich Kreĭn,Valentina Ivanovna Gorbachuk

This book is devoted to the theory of entire Hermitian operators, an important branch of functional analysis harmoniously combining the methods of operator theory and the theory of analytic functions. This theory anables various problems of classical and modern analysis to be looked at from a uniform point of view. In addition, it serves as a source for setting and solving many new problems in both theories. The three chapters of the book are based on the notes written by his students of M. G. Krein's lectures on the theory of entire operators with (1,1) deficiency index which he delivered in 1961 at the Pedagogical Institute of Odessa, and on his works on the extension theory of Hermitian operators and the theory of analytic functions. The theory is further developed in the direction of solving the problems set up by Krein at ICM-66 in the first two appendices. The first concerns the case of Hermitian operators with arbitrary defect numbers, entire with respect to an ordinary gauge and to a generalized one as well. The other focuses on the entire operators representable by differential operators. The third appendix is the translation from Russian of the unpublished notes of Krein's lecture in which, in particular, the place of the theory of entire operators in the whole analysis is elucidated. In Krein's mathematical heritage the theory of entire operators occupies a special position.

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Page Count

240

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764357045

ISBN 13

9783764357047

Trustee for a City

Ralph Lowell of Boston

By: Mark I. Gelfand

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Trustee for a City

Ralph Lowell of Boston

By: Mark I. Gelfand

The fascinating story of continuity and change inside Boston's cultural establishment.

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Page Count

360

Published Date

ISBN 10

1555533698

ISBN 13

9781555533694

Interstate

Highway Politics and Policy Since 1939

By: Mark H. Rose,Raymond A. Mohl

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Interstate

Highway Politics and Policy Since 1939

By: Mark H. Rose,Raymond A. Mohl

This new, expanded edition brings the story of the Interstates into the twenty-first century. It includes an account of the destruction of homes, businesses, and communities as the urban expressways of the highway network destroyed large portions of the nation’s central cities. Mohl and Rose analyze the subsequent urban freeway revolts, when citizen protest groups battled highway builders in San Francisco, Baltimore, Memphis, New Orleans, Washington, DC, and other cities. Their detailed research in the archival records of the Bureau of Public Roads, the Federal Highway Administration, and the U.S. Department of Transportation brings to light significant evidence of federal action to tame the spreading freeway revolts, curb the authority of state highway engineers, and promote the devolution of transportation decision making to the state and regional level. They analyze the passage of congressional legislation in the 1990s, especially the Intermodal Surface Transportation Efficiency Act (ISTEA), that initiated a major shift of Highway Trust Fund dollars to mass transit and light rail, as well as to hiking trails and bike lanes. Mohl and Rose conclude with the surprising popularity of the recent freeway teardown movement, an effort to replace deteriorating, environmentally damaging, and sometimes dangerous elevated expressway segments through the inner cities. Sometimes led by former anti-highway activists of the 1960s and 1970s, teardown movements aim to restore the urban street grid, provide space for new streetcar lines, and promote urban revitalization efforts. This revised edition continues to be marked by accessible writing and solid research by two well-known scholars.

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Page Count

307

Publisher

Univ. of Tennessee Press

Published Date

ISBN 10

1572337834

ISBN 13

9781572337831

Book's by Mark I. Gelfand

Compact Lie Groups

Compact Lie Groups

M.G. Krein's Lectures on Entire Operators

M.G. Krein's Lectures on Entire Operators

Trustee for a City

Trustee for a City

Interstate

Interstate

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