This volume will serve several purposes: to provide an introduction for graduate students not previously acquainted with the material, to serve as a reference for mathematical physicists already working in the field, and to provide an introduction to various advanced topics which are difficult to understand in the literature. Not all the techniques and application are treated in the same depth. In general, we give a very thorough discussion of the mathematical techniques and applications in quatum mechanics, but provide only an introduction to the problems arising in quantum field theory, classical mechanics, and partial differential equations. Finally, some of the material developed in this volume will not find applications until Volume III. For all these reasons, this volume contains a great variety of subject matter. To help the reader select which material is important for him, we have provided a "Reader's Guide" at the end of each chapter.
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The Fourier transform is an important tool of both classical and modern analysis. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
normalized tangent functional, bounded holomorphic semigroup, hypercontractive semigroup, asymptotic symbol, closed symmetric extension, field theory satisfying, deficiency indices, three line theorem, closed symmetric operator, limit point case, commutator theorem, tangent functionals, positivity preserving, limit circle case, strong resolvent sense, sing supp, unitary propagator, constructive quantum field theory, contraction semigroup, continuous unitary group, accretive operator, similar proof shows, holomorphic semigroups, wave front set, free scalar field Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Proof Let, Definition Let, New Jersey, Pure Appl, Princeton Univ, Acta Math, Corollary Let, Proof Suppose, Academic Press, London Math, Rational Mech, Colloquium Publication, Lemma Let, Proposition Let, Reader's Guide, Rhode Island, Danske Vid, Definition Suppose, Proof By Theorem, Proof Define, Celestial Mechanics, Indiana Univ, Les Houches, Nuouo Cimento New!
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The Fourier transform is an important tool of both classical and modern analysis. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
normalized tangent functional, bounded holomorphic semigroup, hypercontractive semigroup, asymptotic symbol, closed symmetric extension, field theory satisfying, deficiency indices, three line theorem, closed symmetric operator, limit point case, commutator theorem, tangent functionals, positivity preserving, limit circle case, strong resolvent sense, sing supp, unitary propagator, constructive quantum field theory, contraction semigroup, continuous unitary group, accretive operator, similar proof shows, holomorphic semigroups, wave front set, free scalar field Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Proof Let, Definition Let, New Jersey, Pure Appl, Princeton Univ, Acta Math, Corollary Let, Proof Suppose, Academic Press, London Math, Rational Mech, Colloquium Publication, Lemma Let, Proposition Let, Reader's Guide, Rhode Island, Danske Vid, Definition Suppose, Proof By Theorem, Proof Define, Celestial Mechanics, Indiana Univ, Les Houches, Nuouo Cimento New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 27
books:
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- Functional Analysis (Springer Classics in Mathematics) by Kosaku Yosida on page 124, page 328, and page 333
- The Madison Colloquium (Colloquium Publications) by Leonard Eugene Dickson and William Fogg Osgood on page 124, page 333, and page 334
- Linear Operators, Part 1: General Theory (Pure and Applied Mathematics, Vol. 7) by Nelson Dunford on page 315, and page 329
- Theory of Ordinary Differential Equations by Earl A. Coddington on page 316
- Celestial Mechanics by Donald G. Saari on page 335
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