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{ "item_title" : "Quantization and Non-Holomorphic Modular Forms", "item_author" : [" André Unterberger "], "item_description" : "This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2, Z).", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/54/067/861/3540678611_b.jpg", "price_data" : { "retail_price" : "52.00", "online_price" : "52.00", "our_price" : "52.00", "club_price" : "52.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Quantization and Non-Holomorphic Modular Forms|André Unterberger

Quantization and Non-Holomorphic Modular Forms

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Overview

This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2, Z).

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Details

  • ISBN-13: 9783540678618
  • ISBN-10: 3540678611
  • Publisher: Springer
  • Publish Date: August 2000
  • Dimensions: 9.21 x 6.14 x 0.56 inches
  • Shipping Weight: 0.84 pounds
  • Page Count: 258

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